Daniel Lidar is a Professor of Electrical engineering, Chemistry, and Physics, and holds a Ph.D. in physics from the Hebrew University of Jerusalem. He did his postdoctoral work at UC Berkeley. Prior to joining USC in 2005 he was a faculty member at the University of Toronto. His main research interest is quantum information processing, where he works on quantum control, quantum error correction, the theory of open quantum systems, quantum algorithms, and theoretical as well as experimental adiabatic quantum computation. He is the Director of the USC Center for Quantum Information Science and Technology, and is the Scientific Director of the USC-Lockheed Martin Center for Quantum Computing. Lidar is a recipient of a Sloan Research Fellowship and is a Fellow of the AAAS, APS, and IEEE.

**Room:** SSC 609

**Email:** L I D A R A T U S C DOT EDU

*171.*“Mean Field Analysis of Quantum Annealing Correction”, Phys. Rev. Lett.**116**, 220501 (2016), by S. Matsuura, H. Nishimori, T. Albash, D.A. Lidar [pdf]*170.*“Adiabaticity in open quantum systems”, Phys. Rev. A**93**, 032118 (2016), by L.C. Venuti, T. Albash, D. A. Lidar, and P. Zanardi [link]*169.**“*Beyond Complete Positivity”, Quant. Info. Proc.**15**, 1, pp 1349-1360 (2016), by J. Dominy, and D.A. Lidar [link]*168.*“Performance of two different quantum annealing correction codes”, Quant. Info. Proc.**15**, 2, pp. 609-636 (2016), by A. Mishra, T. Albash, D.A. Lidar [link]*167.*“Reexamination of the evidence for entanglement in the D-Wave processor”, Phys. Rev. A**92,**062328 (2015) , by T. Albash, I. Hen, F. M. Spedalieri, D. A. Lidar [link]*166.*“Quantum speed limits for leakage and decoherence”, Phys. Rev. Lett.**115,**210402 (2015), by I. Marvian, D.A. Lidar [link]*165.*“A General Framework for Complete Positivity”, Quant. Info. Proc.**15**, 1, pp. 1-28 (2016), by J. Dominy, A. Shabani, and D.A. Lidar. [link]*164.*“Probing for quantum speedup in spin glass problems with planted solutions”, Phys Rev A 92, 042325 (2015), by I. Hen, J. Job, T. Albash, T.F. Ronnow, M. Troyer, and D.A. Lidar [link]*163.*“Quantum Annealing Correction with Minor Embedding”,Phys. Rev. A 92, 042310 (2015), by W. Vinci, T. Albash, G. Paz-Silva, I. Hen, and D. A. Lidar [link]*162.***91**, 062320 (2015), by T. Albash and D.A. Lidar [pdf]*161.*“Consistency tests of classical and quantum models for a quantum annealer”, Phys. Rev. A**91**, 042314 (2015), by T. Albash, W. Vinci, A. Mishra, P.A. Warburton, and D.A. Lidar [link]*160.*“Quantum Annealing Correction for Random Ising Problems”, Phys. Rev. A**91**, 042302 (2015), by K. Pudenz, T. Albash, and D.A. Lidar. [link]*159*. “Reexamining classical and quantum models for the D-Wave One processor”, The European Physics Journal, Special Topics**224**, 111 (special issue on quantum annealing) (2015), by T. Albash, T. Ronnow, M. Troyer, D.A. Lidar [link]*158 . “*Quantum error suppression with commuting Hamiltonians: Two-local is too local”, Phys. Rev. Lett.**113**, 260504 (2014), by I. Marvian and D.A. Lidar [pdf]*157*. “Defining and Detecting Quantum Speedup”,*Science***345**, 420 (2014), by T.F. Ronnow, Z. Wang, J. Job, S.V. Isakov, D. Wecker, J.M. Martinis, D.A. Lidar, and M. Troyer. [link]*156*. “MAX 2-SAT with up to 108 Qubits”, New J. Phys. 16, 045006 (2014), by S. Santra, G. Quiroz, G. Ver Steeg, and D.A. Lidar. [link]*155*. “Evidence for Quantum Annealing with More Than One Hundred Qubits”, Nature Physics**10**, 218 (2014), by. S. Boixo, T. Ronnow, S. Isakov, Z. Wang, D. Wecker, D.A. Lidar, J. Martinis, and M. Troyer. [pdf]*154*. “Error Corrected Quantum Annealing with Hundreds of Qubits”, Nature Communications**5**, 3243 (2014), by K.P. Pudenz, T. Albash, and D. Lidar. [pdf]*153*. “Adiabatic Quantum Optimization with the Wrong Hamiltonian”, Phys. Rev A 88, 062314 (2013), by K. C. Young, R. Blume-Kohout, and D. Lidar. [pdf]*152*. “Optimized Dynamical Decoupling via Genetic Algorithms”, Phys. Rev. A**88**, 052306 (2013), by G. Quiroz and D. Lidar. [pdf]*151*. “Fluctuation Theorems for Quantum Process”, Phys. Rev. E**88**, 032146 (2013), T. Albash, D. Lidar, M. Marvian, and P. Zanardi. [pdf]*150*. “Coarse-Graining Can Beat the Rotating Wave Approximation in Quantum Markovian Master Equations”, Phys. Rev A. 88, 012103 (2013), C. Majenz, T. Albash, H.-P. Breuer, and D. Lidar. [pdf]*149*. “Experimental Signature of Programmable Quantum Annealing”, Nature Comm.**4**, 2067 (2013), by S. Boixo, T. Albash, F.M. Spedalieri, N. Chancellor, and D. Lidar. [pdf]*148*. “Optimally Combining Dynamical Decoupling and Quanutm Error Correction”, Scientific Reports**3**, 1394 (2013), by G.A. Paz-Silva and D. Lidar. [pdf]*147*. “No-Go Theorem for Passive Single-rail Linear Optical Quantum Computing”, Scientific Reports**3**, 1394 (2013), by L. Wu, P. Walther, and D. A. Lidar. [pdf]*146*. “Analysis of the Quantum Zeno Effect for Quantum Control and Computation”, J. Phys. A: Math. Theor.**46**, 075306 (2013), by J. Dominy, G. Paz-Silva, A.T. Rezakhani, and D.A. Lidar. [pdf]*145*. “Quantum Adiabatic Machine Learning”, Quantum Info. Process.**12**, 2027 (2013), by K. Pudenz and D. Lidar. [pdf]*144*. “Universality Proof and Analysis of Generalized Nested Uhrig Dynamical Decoupling”, J. Math. Phys.**53**, 122207 (2012), by W.J. Kuo, G. Quiroz, G. Paz Silva, D. Lidar. [pdf]*143*. “Optimally Combining Dynamical Decoupling and Quantum Error Correction”, Scientific Reports**3**, 1530 (2013), by G.A. Paz Silva and D. A. Lidar. [pdf]- 142 . “Quantum Adiabatic Markovian Master Equations”, New J. of Physics
**14**, 123016 (2012), by T. Albash, S. Boixo, D. Lidar, and P. Zanardi. [pdf] *141*. “High-Fidelity Adiabatic Quantum Computation via Dynamical Decoupling”, Phys. Rev. A**86**, 042333 (2012), by G. Quiroz and D. Lidar. [pdf]*140*. “Adiabatic Quantum Algorithm for Search Engine Ranking”, Phys. Rev. Lett.**108**, 230506 (2012), by S. Garnerone, P. Zanardi, and D. Lidar [pdf][sup-mat]*139*. “Decoherence-Protected Quantum Gates for a Hybrid Solid-State Spin Register”, Nature**484,**82 (2012), by T. van der Sar, Z.H. Wang, M.S. Blok, H. Bernien, T.H. Taminiau, D.M. Toyli, D.A. Lidar, D.D. Awschalom, R. Hanson, and V.V. Dobrovitski [pdf]*138*. “Zeno Effect for Quantum Computation and Control”, Phys. Rev. Lett.**108**, 080501 (2012), G. A. Paz-Silva, A. T. Rezakhani, J. Dominy and D. A. Lidar [pdf]*137*. “Rigorous Performance Bounds for Quadratic and Nested Dynamical Decoupling”, Phys. Rev. A**84**, 062332 (2011), by Y. Xia, G. S. Uhrig, D. Lidar. [pdf]- 136 .”Quadratic Dynamical Decoupling: Universality Proof and Error Analysis”, Phys. Rev. A
**84**, 042329 (2011), by W. Kuo and D. Lidar. [pdf] - 135 .”Quadratic Dynamical Decoupling with Nonuniform Error Suppression”, Phys. Rev. A
**84**, 042328 (2011), by G. Quiroz and D. Lidar. [pdf] *134*. “High Fidelity Quantum Memory via Dynamical Decoupling: Theory and Experiment”, J. Phys. B**44**, 154003 (2011), by Xinhua Peng, Dieter Suter, and Daniel A Lidar. [pdf]*133*. “Combining Dynamical Decoupling with Fault-Tolerant Quantum Computation”, Phys. Rev. A**84**, 012305 (2011), by H. K. Ng, D. Lidar, and J. Preskill. [pdf]*132*. “High Fidelity Quantum Gates via Dynamical Decoupling”, Phys. Rev. Lett**105**, 230503 (2010), by J. R. West, D. Lidar, B. H. Fong, and M. F. Gyure. [pdf]*131*. “Accuracy Versus Run Time in an Adiabatic Quantum Search”, Phys. Rev. A**82**, 052305 (2010), by A. T. Rezakhani, A. K. Pimachev, and D. Lidar. [pdf]*130*. “Optimized Entanglement-Assisted Quantum Error Correction”, Phys. Rev. A**82**, 042321 (2010), by S. Taghavi, T. A. Brun, and D. Lidar. [pdf]*129*. “Classical Ising Model Test for Quantum Circuits”, New J. Physics**12**, 075026 (2010), by J. Geraci and D. Lidar [pdf]*128*. “Intrinsic Geometry of Quantum Adiabatic Evolution and Quantum Phase Transitions”, Phys. Rev. A**82**, 012321 (2010), by A. T. Rezakhani, D. F. Abasto, D. Lidar, and P. Zanardi. [pdf]*127*. “Rigorous Bounds for Optimal Dynamical Decoupling”, Phys. Rev. A**82**, 012301 (2010), by G. S. Uhrig and D. Lidar. [pdf]*126*. “Channel Capacities of an Exactly Solvable Spin-Star System”, Phys. Rev. A**81**, 062353 (2010), by Nigum Arshed, A. H. Toor, and Daniel A. Lidar. [pdf]- 125 .”Optimal Control Landscape for the Generation of Unitary Transformations with Constrained Dynamics”, Phys. Rev. A
**81**, 062352 (2010), by Michael Hsieh, Rebing Wu, Herschel Rabitz, and Daniel Lidar. [pdf] *124*. “Near-Optimal Dynamical Decoupling of a Qubit”, Phys. Rev. Lett**104**, 130501 (2010), by Jacob R. West, Bryan H. Fong, and Daniel A. Lidar. [pdf]*123*. “Channel-Optimized Quantum Error Correction”, IEEE Trans. on Info. Theory**56**, 1461 (2010), by Soraya Taghavi, Robert L. Kosut, and Daniel A. Lidar. [pdf]*122*. “Arbitrarily Accurate Dynamical Control in Open Quantum Systems”, Phys. Rev. Lett**104**, 090501 (2010), by K. Khodjasteh, D. Lidar, and L. Viola. [pdf]*121*. “Entanglement and Area Law with a Fractal Boundary in a Topologically Ordered Phase”, Phys. Rev. A**81**, 01012 (2010), by A. Hamma, D. Lidar, and S. Severini. [pdf]*120*. “Adiabatic Approximation with Exponential Accuracy for Many-Body Systems and Quantum Computation”, J. Math. Phys.**50**, 102106 (2009), by D. Lidar, A. T. Rezakhani, and A. Hamma. [pdf]*119*. “Quantum Adiabatic Brachistochrone”, Phys. Rev. Lett.**103**, 080502 (2009), by A.T. Rezakhani, W.-J. Kuo, A. Hamma, D. Lidar, and P. Zanardi. [pdf]*118*. “Scheme for Fault-Tolerant Holonomic Computation on Stabilizer Codes”, Phys. Rev. A**80**, 022325 (2009), by O. Oreshkov, T. A. Brun, and D. Lidar [pdf]*117*. “Quantum Error Correction via Convex Optimization”, Quant. Info. Processing**8**, 441 (2009), by R. L. Kosut and D. Lidar [pdf]*116*. “Maps for General Open Quantum Systems and a Theory of Linear Quantum Error Correction”, Phys. Rev. A**80**, 012309 (2009), by A. Shabani and D. Lidar [pdf]*115*. “Vanishing Quantum Discord is Necessary and Sufficient for Completely Positive Maps”, Phys. Rev. Lett.**102**, 100402 (2009), by A. Shabani and D. Lidar. [pdf]*;*“Erratum: Vanishing Quantum Discord is Necessary and Sufficient for Completely Positive Maps”, Phys. Rev. Lett.**11,**049901 (2016), by A. Shabani and D. A. Lidar. [pdf]*114*. “Fault-Tolerant Holonomic Quantum Computation”, Phys. Rev. Lett.**102**, 070502 (2009), by O. Oreshkov, T. A. Brun, and D. Lidar [pdf]*113*. “Operator Quantum Error Correction for Continuous Dynamics”, Phys. Rev. A**78**, 022333 (2008), by O. Oreshkov, D. Lidar, and T. A. Brun [pdf]*112*. “Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme”, Phys. Rev. A**78**, 012355 (2008), by K. Khodjasteh, and D. Lidar [pdf]*111*. “Encoding One Logical Qubit Into Six Physical Qubits”, Phys. Rev. A**78**, 012337 (2008), by B. Shaw, M. M. Wilde, O. Oreshkov, I. Kremsky, and D. Lidar [pdf]*110*. “Distance Bounds on Quantum Dynamics”, Phys. Rev. A**78**, 012308 (2008), by D. Lidar, P. Zanardi, and K. Khodjasteh [pdf]*109*. “Optimal Dynamical Decoherence Control of a Qubit”, Phys. Rev. Lett.**101**, 010403 (2008), by G. Gordon, G. Kurizki, and D. Lidar [pdf]*108*. “Bang-Bang Control of a Qubit Coupled to a Quantum Critical Spin Bath”, Phys. Rev. A**77**, 052112 (2008), by D. Rossini, P. Facchi, R. Fazio, G. Florio, D. Lidar, S. Pascazio, F. Plastina, and P. Zanardi [pdf]*107*. “Towards Fault Tolerant Adiabatic Quantum Computation”, Phys. Rev. Lett.**100**, 160506 (2008), by D. Lidar [pdf]*106*. “Entanglement, Fidelity, and Topological Entropy in a Quantum Phase Transition to Topological Order”, Phys. Rev. B**77**, 155111 (2008), by A. Hamma, W. Zhang, S. Haas, and D. Lidar [pdf]*105*. “Quantum Process Tomography: Resource Analysis of Different Strategies”, Phys. Rev. A**77**, 032322 (2008), by M. Mohseni, A. T. Rezakhani, and D. Lidar [pdf]*104*. “On the Exact Evaluation of Certain Instances of the Potts Partition Function by Quantum Computers”, Commun. Math. Phys**279,**issue 3, 735-768 (2008), by J. Geraci and D. Lidar [pdf]*103*. “Adiabatic Preparation of Topological Order”, Phys. Rev. Lett.**100**, 030502 (2008), by A. Hamma and D. Lidar [pdf]*102*. “The Spin Density Matrix II: Application to a System of Two Quantum Dots”, Phys. Rev. B**77**, 045320 (2008), by S. D. Kunikeev and D. Lidar [pdf]*101*. “The Spin Density Matrix I: General Theory and Exact Master Equations”, Phys. Rev. B**77**, 045319 (2008), by S. D. Kunikeev and D. Lidar [pdf]*100*. “Robust Quantum Error Correction via Convex Optimization”, Phys. Rev. Lett.**100**, 020502 (2008), by R.L. Kosut, A. Shabani, and D. Lidar [pdf]*99*. “Fidelity of Optimally Controlled Quantum Gates with Randomly Coupled Multiparticle Environments”, J. Mod. Optics**54**, 2339 (2007), M. Grace, C. Brif, H. Rabitz, I. Walmsley, R. Kosut, and D.A. Lidar. [pdf]*98*. “Non-Markovian Dynamics of a Qubit Coupled to an Ising Spin Bath”, Phys. Rev. A**76**, 052117 (2007), by H. Krovi, O. Oreshkov, M. Ryazanov, and D. Lidar [pdf]*97*. “Simple Proof of Equivalence Between Adiabatic Quantum Computation and the Circuit Model”, Phys. Rev. Lett.**99**, 070502 (2007), by A. Mizel, D. Lidar, and M. Mitchell [pdf]*96*. “Direct Characterization of Quantum Dynamics: General Theory”, Phys. Rev. A**75**, 062331 (2007), by M. Mohseni and D. Lidar [pdf]*95*. “Efficient Multiqubit Entanglement via a Spin-Bus”, Phys. Rev. Lett.**98**, 230503 (2007), by M. Friesen, A. Biswas, X. Hu, D. Lidar [pdf]*94*. “Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences”, Phys. Rev. A**75**, 062310 (2007), by K. Khodjasteh and D. Lidar. [pdf] ; “Erratum: Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences”, Phys Rev A**79**, 069901(E) (2009). Original journal published in Phys. Rev. A**75**, 062310 (2007), by K. Khodjasteh and D.A. Lidar. [pdf]*93*. “Decoherence-Induced Geometric Phase in a Multilevel Atomic System”, J. Phys. B**40**, S127 (2007) (special issue on “Dynamical Control of Entanglement and Decoherence by Field-Matter Interactions”), by S. Dasgupta and D. Lidar [pdf]*92*. “Optimal Control of Quantum Gates and Suppression of Decoherence in a System of Interacting Two-Level Particles”, J. Phys. B**40**, S103 (2007) (special issue on “Dynamical Control of Entanglement and Decoherence by Field-Matter Interactions”), by M. Grace, C. Brif, H. Rabitz, I.A. Walmsley, and D. A. Lidar [pdf]*91*. “Robust Transmission of Non-Gaussian Entanglement Over Optical Fibers”, Phys. Rev. A**74**, 062303 (2006), by A. Biswas and D. Lidar [pdf]*90*. “Linking Entanglement and Quantum Phase Transitions via Density-Functional Theory”, Phys. Rev. A**74**, 052335 (2006), by L.-A. Wu, M. S. Sarandy, D. Lidar, and L. J. Sham [pdf]*89*. “Direct Characterization of Quantum Dynamics”, Phys. Rev. Lett.**97**,170501 (2006), by M. Mohseni and D. Lidar [pdf]*88*. “Abelian and Non-Abelian Geometric Phases in Adiabatic Open Quantum Systems”, Phys. Rev. A**73**, 062101 (2006), by M.S. Sarandy and D. Lidar [pdf]*87*. “Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit”, Phys. Rev. A**73**, 052311 (2006), by R. Alicki, D. Lidar, and P. Zanardi [pdf]*86*. “Quantum Malware”, published online in Quant. Info. Processing**5**, 69 (2006), by L.-A. Wu and D. Lidar [pdf]*85*. “Encoding a Qubit into Multilevel Subspaces”, New J. Phys.**8**, 35 (2006), by M. Grace, C. Brif, H. Rabitz, I. Walmsley, R. Kosut, and D. Lidar [pdf]*84*. “Few-Body Spin Couplings and Their Implications for Universal Quantum Computation”, J. Phys.: Cond. Mat.**18**, S721 (2006), special issue on quantum computing in solid state, by R. Woodworth, A. Mizel, and D. Lidar [pdf]*83*. “Quantum Logic Gates in Iodine Vapor Using Time-Frequency Resolved Coherent Anti-Stokes Raman Scattering: A Theoretical Study”, Molecular Phys.**104**, 1249 (2006), special issue in honor of Robert Harris, by D.R. Glenn, D. Lidar, and V.A. Apkarian [pdf]*82*. “Conditions for Strictly Purity-Decreasing Quantum Markovian Dynamics”, Chemical Physics**322**, 82 (2006), the special issue “Real-Time Dynamics in Complex Quantum Systems” in honor of Phil Pechukas, by D. Lidar, A. Shabani, and R. Alicki [pdf]*81*. “Adiabatic Quantum Computation in Open Systems”, Phys. Rev. Lett.**95**, 250503 (2005), by M.S. Sarandy and D. Lidar [pdf]*80*. “Robustness of Multiqubit Entanglement in the Independent Decoherence Model”, Phys. Rev. A**72**, 042339 (2005), by S. Bandyopadhyay and D. Lidar [pdf]*79*. “Fault-Tolerant Quantum Dynamical Decoupling”, Phys. Rev. Lett.**95**, 180501 (2005), by K. Khodjasteh and D. Lidar [pdf]*78*. “Holonomic Quantum Computation in Decoherence-Free Subspaces”, Phys. Rev. Lett.**95**, 130501 (2005), by L.-A. Wu, P. Zanardi, and D. Lidar [pdf]*77*. “Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems”, Phys. Rev. A**72**, 042303 (2005), by A. Shabani and D. Lidar [pdf]*76*. “Entanglement Observables and Witnesses for Interacting Quantum Spin Systems”, Phys. Rev. A**72**, 032309 (2005), by L.-A. Wu, S. Bandyopadhyay, M.S. Sarandy, and D. Lidar [pdf]*75*. “Stabilizing Qubit Coherence via Tracking-Control”, Quant. Info. and Computation**5**, 350 (2005), by D. Lidar and S. Schneider [pdf]*74*. “Universal Leakage Elimination”, Phys. Rev. A**71**, 052301 (2005), by M.S. Byrd, D. Lidar, L.-A. Wu, and P. Zanardi [pdf]*73*. “Completely Positive Post-Markovian Master Equation via a Measurement Approach”, Phys. Rev. A Rapid Comm.**71**, 020101 (2005), by A. Shabani and D. Lidar [pdf]*72*. “Control of Decoherence: Analysis and Comparison of Three Different Strategies”, Phys. Rev. A**71**, 022302 (2005), by P. Facchi, S. Tasaki, S. Pascazio, H. Nakazato, A. Tokuse, and D. Lidar [pdf]*71*. “Fault-Tolerant Quantum Computation via Exchange Interactions”, Phys. Rev. Lett.**94**, 040507 (2005), by M. Mohseni and D. Lidar [pdf]*70*. “Adiabatic Approximation in Open Quantum Systems”, Phys. Rev. A**71**, 012331 (2005), by M.S. Sarandy and D. Lidar [pdf]*69*. “Overview of Quantum Error Prevention and Leakage Elimination”, J. Mod. Optics**51**, 2449 (2004), by M.S. Byrd, L.-A. Wu, and D. Lidar [pdf]*68*. “Consistency of the Adiabatic Theorem”, Quant. Info. Processing**3**, 331 (2004), by M.S. Sarandy, L.-A. Wu, and D. Lidar [pdf]*67*. “Quantum Phase Transitions and Bipartite Entanglement”, Phys. Rev. Lett.**93**, 250404 (2004), by L.-A. Wu, M.S. Sarandy, and D. Lidar [pdf]*66*. “Overcoming Quantum Noise in Optical Fibers”, Phys. Rev. A**70**, 062310 (2004), by L.-A. Wu and D. Lidar [pdf]*65*. “On the Quantum Computational Complexity of the Ising Spin Glass Partition Function and of Knot Invariants”, New J. Phys.**6**, 167 (2004), by D. Lidar [pdf]*64*. “Long-Range Entanglement Generation via Frequent Measurements”, Phys. Rev. A**70**, 032322 (2004), by L.-A. Wu, D. Lidar, and S. Schneider [pdf]*63*. “Exchange Interaction Between Three and Four Coupled Quantum Dots: Theory and Applications to Quantum Computing”, Phys. Rev. B**70**, 115310 (2004), by A. Mizel and D. Lidar [pdf]*62*. “Purity and State Fidelity of Quantum Channels”, Phys. Rev. A**70**, 012315 (2004), by P. Zanardi and D. Lidar [pdf]*61*. “Entangling Capacities of Noisy Two-Qubit Hamiltonians”, Phys. Rev. A Rapid Comm.**70**, 010301 (2004), by S. Bandyopadhyay and D. Lidar [pdf]*60*. “One-Spin Quantum Logic Gates from Exchange Interactions and a Global Magnetic Field”, Phys. Rev. Lett.**93**, 030501 (2004), by L.-A. Wu, D. Lidar, and M. Friesen [pdf]*59*. “Exponentially Localized Magnetic Fields for Single-Spin Quantum Logic Gates”, J. Appl. Phys.**96**, 754 (2004), by D.A. Lidar and J.H. Thywissen [pdf]*58*. “Unification of Dynamical Decoupling and the Quantum Zeno Effect”, Phys. Rev. A**69**, 032314 (2004), by P. Facchi, D.A. Lidar, and S. Pascazio [pdf]*57*. “Dynamical Decoupling Using Slow Pulses: Efficient Suppression of 1/f Noise”, Phys. Rev. A Rapid Comm.**69**, 030302 (2004), by K. Shiokawa and D.A. Lidar [pdf]*56*. “Three and Four-Body Interactions in Spin-Based Quantum Computers”, Phys. Rev. Lett.**92**, 077903 (2004), by A. Mizel and D.A. Lidar [pdf]*55*. “Quantum Tensor Product Structures are Observable Induced”, Phys. Rev. Lett.**92**, 060402 (2004), by P. Zanardi, D.A. Lidar, and S. Lloyd [pdf]*54*. “Magnetic Resonance Realization of Decoherence-Free Quantum Computation”, Phys. Rev. Lett.**91**, 217904 (2003), by J.E. Ollerenshaw, D.A. Lidar, and L.E. Kay [pdf]*53*. “Dressed Qubits”, Phys. Rev. Lett.**91**, 097904 (2003), by L.-A. Wu and D.A. Lidar [pdf]*52*. “Quantum Computing in the Presence of Spontaneous Emission by a Combined Dynamical Decoupling and Quantum-Error-Correction Strategy”, Phys. Rev. A**68**, 022322 (2003), by K. Khodjasteh and D.A. Lidar. [pdf] ; “Erratum: Quantum computing in the presence of spontaneous emission by a combined dynamical decoupling and quantum-error-correction strategy”, Phys. Rev. A**72**, 029905 (2005) [link]*51*. “Comment on “Conservative Quantum Computing” [Phys. Rev. Lett. 89, 057902 (2002)]”, Phys. Rev. Lett.**91**, 089801 (2003), by D.A. Lidar [pdf]*50*. “Reply to: “Comment on `Polynomial-Time Simulation of Pairing Models on a Quantum Computer’””, Phys. Rev. Lett.**90**, 249804 (2003), by L.-A. Wu, M.S. Byrd, and D.A. Lidar [pdf]*49*. “Universal Quantum Computation Using Exchange Interactions and Measurements of Single- and Two-Spin Observables”, Phys. Rev. A Rapid Comm.**67**, 050303 (2003), by L.-A. Wu and D.A. Lidar [pdf]*48*. “Combined Error Correction Techniques for Quantum Computing Architectures”, J. Mod. Optics**50**, 1285 (2003), by M.S. Byrd and D.A. Lidar [pdf]*47*. “Encoded Recoupling and Decoupling: An Alternative to Quantum Error-Correcting Codes Applied to Trapped-Ion Quantum Computation”, Phys. Rev. A**67**, 032313 (2003), by D.A. Lidar and L.-A. Wu [pdf]*46*. “Empirical Determination of Dynamical Decoupling Operations”, Phys. Rev. A**67**, 012324 (2003), by M.S. Byrd and D.A. Lidar [pdf]*45*. “Universal Quantum Logic from Zeeman and Anisotropic Exchange Interactions”, Phys. Rev. A**66**, 062314 (2002), by L.-A. Wu and D.A. Lidar [pdf]*44*. “Universal Fault-Tolerant Quantum Computation in the Presence of Spontaneous Emission and Collective Dephasing”, Phys. Rev. Lett.**89**, 197904 (2002), by K. Khodjasteh and D.A. Lidar [pdf] ; “Erratum: Universal Fault-Tolerant Quantum Computation in the Presence of Spontaneous Emission and Collective Dephasing**“,**Phys. Rev. Lett.**95**, 099902 (2005) [link]*43*. “Efficient Universal Leakage Elimination for Physical and Encoded Qubits”, Phys. Rev. Lett.**89**, 127901 (2002), by L.-A. Wu, M.S. Byrd, and D.A. Lidar [pdf]*42*. “Quantum Codes for Simplifying Design and Suppressing Decoherence in Superconducting Phase-Qubits”, Quant. Info. Proc.**1**, 155 (2002), by D.A. Lidar, L.-A. Wu, and A. Blais [pdf]*41*. “Qubits as Parafermions”, J. Math. Phys.**43**, 4506 (2002) (special issue on quantum information), by L.-A. Wu and D.A. Lidar [pdf]*40*. “Polynomial-Time Simulation of Pairing Models on a Quantum Computer”, Phys. Rev. Lett.**89**, 057904 (2002), by L.-A. Wu, M.S. Byrd, and D.A. Lidar [pdf]*39*. “An Implementation of the Deutsch-Jozsa Algorithm on Molecular Vibronic Coherences Through Four-Wave Mixing: a Theoretical Study”, Chem. Phys. Lett.**360**, 459 (2002), by Z. Bihary, D.R. Glenn, D.A. Lidar, and V.A. Apkarian [pdf]*38*. “Bang-Bang Operations from a Geometric Perspective”, Quant. Info. Proc.**1**, 19 (2002), by M.S. Byrd and D.A. Lidar [pdf]*37*. “Comprehensive Encoding and Decoupling Solution to Problems of Decoherence and Design in Solid-State Quantum Computing”, Phys. Rev. Lett.**89**, 047901 (2002), by M.S. Byrd and D.A. Lidar [pdf]*36*. “Creating Decoherence-Free Subspaces Using Strong and Fast Pulses”, Phys. Rev. Lett.**88**, 207902 (2002), by L.-A. Wu and D.A. Lidar [pdf]*35*. “Power of Anisotropic Exchange Interactions: Universality and Efficient Codes for Quantum Computing”, Phys. Rev. A**65**, 042318 (2002), by L.-A. Wu and D.A. Lidar [pdf]*34*. “Comment on “Quantum Waveguide Array Generator for Performing Fourier Transforms: Alternate Route to Quantum Computing’’ [Appl. Phys. Lett. 79, 2823 (2001)]”, Appl. Phys. Lett.**80**, 2419 (2002), by D.A. Lidar [pdf]*33*. “Reducing Constraints on Quantum Computer Design by Encoded Selective Recoupling”, Phys. Rev. Lett.**88**, 017905 (2002), by D.A. Lidar and L.-A. Wu [pdf]*32*. “Quantum Computing with Quantum Dots on Quantum Linear Supports”, Phys. Rev. A**65**, 012307 (2002), by K.R. Brown, D.A. Lidar, and K.B. Whaley [pdf]*31*. “From Completely Positive Maps to the Quantum Markovian Semigroup Master Equation”, Chemical Physics**268**, 35 (2001), D.A. Lidar, Z. Bihary, and K.B. Whaley, special issue on Dynamics of Open Quantum Systems [pdf]*30*. “The Manipulation of Massive Ro-vibronic Superpositions Using Time-Frequency-Resolved Coherent Anti-Stokes Raman Scattering (TFRCARS): from Quantum Control to Quantum Computing”, Chemical Physics**266**, 323 (2001), R. Zadoyan, D. Kohen, D.A. Lidar, and V.A. Apkarian [pdf]*29*. “Theory of Decoherence-Free Universal Fault-Tolerant Quantum Computation”, Phys. Rev. A**63**, 042307 (2001), by J. Kempe, D. Bacon, D.A. Lidar, and K.B. Whaley [pdf]*28*. “Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation”, Phys. Rev. A**63**, 022307 (2001), D.A. Lidar, D. Bacon, J. Kempe, and K.B. Whaley [pdf]*27*. “Decoherence-Free Subspaces for Multiple-Qubit Errors: (I) Characterization”, Phys. Rev. A**63**, 022306 (2001), by D.A. Lidar, D. Bacon, J. Kempe, and K.B. Whaley [pdf]*26*. “Analysis of Generalized Grover Quantum Search Algorithms Using Recursion Equations”, Phys. Rev. A**63**, 012310 (2001), by E. Biham, O. Biham, D. Biron, M. Grassl, D.A. Lidar, and D. Shapira [pdf]*25*. “Universal Fault-Tolerant Quantum Computation on Decoherence-Free Subspaces”, Phys. Rev. Lett.**85**, 1758 (2000), by D. Bacon , J. Kempe, D.A. Lidar, and K.B. Whaley [pdf]*24*. “Protecting Quantum Information Encoded in Decoherence-Free States Against Exchange Errors”, Phys. Rev. A**61**, 052307 (2000), by D.A. Lidar, D. Bacon, J. Kempe, and K.B. Whaley [pdf]*23*. “Grovers Quantum Search Algorithm for Arbitrary Initial Amplitude Distribution”, Phys. Rev. A**60**, 2742 (1999), by E. Biham, O. Biham, D. Biron, M. Grassl, and D.A. Lidar [pdf]*22*. “Robustness of Decoherence-Free Subspaces for Quantum Computation”, Phys. Rev. A 60, 1944 (1999), by D. Bacon, D.A. Lidar, and K.B. Whaley [pdf]*21*. “Concatenating Decoherence-Free Subspaces with Quantum Error Correcting Codes”, Phys. Rev. Lett.**82**, 4556 (1999), by D.A. Lidar, D. Bacon, and K.B. Whaley [pdf]*20*. “Calculating the Thermal Rate Constant with Exponential Speedup on a Quantum Computer”, Phys. Rev. E**59**, 2429 (1999), by D.A. Lidar and H. Wang [pdf]*19*. “Pattern Formation and a Clustering Transition in Power-Law Sequential Adsorption”, Phys. Rev. E**59**, R4713 (1999), O. Biham, O. Malcai, D.A. Lidar (Hamburger), and D. Avnir [pdf]- 18 .”Fractal Analysis of Protein Potential Energy Landscapes”, Phys. Rev. E 59, 2231-2243 (1999), D. A. Lidar, D. Thirumalai, R. Elber, and R.B. Gerber. [pdf]
*17*. “How to Teleport Superpositions of Chiral Amplitudes”, Phys. Rev. Lett.**81**, 5928 (1998), C.S. Maierle, D.A. Lidar, and Robert A. Harris [pdf]*16*. “Decoherence-Free Subspaces for Quantum Computation”, Phys. Rev. Lett.**81**, 2594 (1998), by D.A. Lidar, I.L. Chuang, and K.B. Whaley [pdf]*15*. “Fractality in Nature (Reply to a letter)”, Science**279**, 1611 (1998), by O. Biham, O. Malcai, D.A. Lidar, and D. Avnir [pdf]*14*. “Is Nature Fractal? (Reply to letters)”, Science**279**, 783 (1998), by O. Biham, O. Malcai, D.A. Lidar, and D. Avnir [pdf]*13*. “Is the Geometry of Nature Fractal?”, Science**279**, 39 (1998), by D. Avnir, O. Biham, D.A. Lidar, and O. Malcai [pdf]*12*. “Inversion of Randomly Corrugated Surface Structure from Atom Scattering Data”, Inverse Problems**14**, 1299 (1998) [pdf]*11*. “Atom Scattering from Disordered Surfaces in the Sudden Approximation: Double Collisions Effects and Quantum Liquids”, Surf. Sci.**411**, 231 (1998), by D.A. Lidar (Hamburger) [pdf]*10*. “Structure Determination of Disordered Metallic Sub-Monolayers by Helium Scattering: A Theoretical and Experimental Study”, Surf. Sci.**410**, L721 (1998), by A.T. Yinnon, D.A. Lidar (Hamburger), R.B. Gerber, P. Zeppenfeld, M. Krzyzowski, and G. Comsa [pdf]*9*. “Simulating Ising Spin Glasses on a Quantum Computer”, Phys. Rev. E**56**, 3661 (1997), , by D.A. Lidar and O. Biham [pdf]*8*. “Scaling Range and Cutoffs in Empirical Fractals”, Phys. Rev. E**56**, 2817 (1997), by Ofer Malcai, Daniel A. Lidar, and Ofer Biham [pdf]*7*. “Limited Range Fractality of Randomly Adsorbed Rods”, J. Chem. Phys.**106**, 10359 (1997), by D.A. Lidar (Hamburger), O. Biham, and D. Avnir [pdf]*6*. “Helium Scattering from Random Adsorbates, Disordered Compact Islands and Fractal Submonolayers: Intensity Manifestation of Surface Disorder”, J. Chem. Phys.**106**, 4228 (1997), by A.T. Yinnon, D.A. Lidar (Hamburger), R.B. Gerber, P. Zeppenfeld, M. Krzyzowski, and G. Comsa. [pdf]*5*. “Elastic Scattering by Deterministic and Random Fractals: Self-Affinity of the Diffraction Spectrum”, By Daniel Lidar, Phys. Rev. E**54**, 354 (1996) [pdf]*4*. “Apparent Fractality Emerging from Models of Random Distributions”, Phys. Rev. E**53**, 3342-3358 (1996), D. A. Hamburger, O. Biham, D. Avnir. [link]*3*. “Fractal Dimension of Disordered Submonolayers: Determination from Helium Scattering Data”, Chem. Phys. Lett.**253**, 223 (1996), by D.A. Hamburger, A.T. Yinnon, and R.B. Gerber [pdf]*2*. “Optical Theorem and the Inversion of Cross Section Data for Atom Scattering from Defects on Surfaces”, J. Chem. Phys.**102**, 6919 (1995), by D.A. Hamburger and R.B. Gerber [pdf]*1*. “Helium Scattering from Compact Clusters and from Diffusion-Limited Aggregates on Surfaces: Observable Signatures of Structure”, Surf. Sci.**327**, 165 (1995), by D.A. Hamburger, A.T. Yinnon, I. Farbman, A. Ben-Shaul, and R.B. Gerber. [pdf]

- 7 .”Fault Tolerance for Holonomic Quantum Computaion”, by O. Oreshkov. T.A. Brun, and D. Lidar, in “Quantum Error Correction”, D. Lidar and T.A. Brun, Eds. (Cambridge University Press), pp. 412-431 (2013). link
*6.*“Introduction to Decoherence-Free Subspaces and Noiseless Subsystems”, by D. Lidar and T.A. Brun, in Quantum Error Correction”, D. Lidar and T.A. Brun, Eds. (Cambridge University Press), pp. 78-104 (2013). [pdf]- 5 .”Introduction to Decoherence and Noise in Open Quantum Systems”, by D. Lidar and T.A. Brun, in Quantum Error Correction”, D. Lidar and T.A. Brun, Eds. (Cambridge University Press), pp. 3-45 (2013). [pdf]
*4*.”Paring Model Simulation on a Quantum Computer”, by M.S. Byrd, L.-A. Wu, and D. Lidar, in “Condensed Matter Series” Vol 20, J. W. Clark, R. M. Panoff, and H. Li, Eds. (Nova Science Pulishers), pp. 485-496 (2006).- 3 .”Decoherence-Free Subspaces and Subsystems”, by D.A. Lidar and K.B. Whaley, in “Irreversible Quantum Dynamics”, F. Benatti and R. Floreanini (Eds.), p. 83-120 (Springer Lecture Notes in Physics,
**622**, Berlin, 2003). Online at quant-ph/0301032 [pdf] - 2 .“On the Abundance of Fractals”, by D. Avnir, O. Biham, D.A. Lidar (Hamburger), and O. Malcai, in “Fractal Frontiers”, M.M. Novak and T.G. Dewey, Eds., (World Scientific, Singapore), pp. 199-234 (1997).

*1*. “Randomness and Apparent Fractality”, by D. A. Hamburger, O. Malcai, O. Biham, and D. Avnier, in “Fractals and Chaos in Chemical Engineering”, M. Giona and G. Biardis. Eds., (World Scientific Singapore), pp. 103-114 (1996). [pdf]

*8.*“Error suppression for Hamiltonian-based quantum computation using subsystem codes”, [1606.03795v1], by M. Marvian and D. A. Lidar*7.*“Eigenstate Tracking in Open Quantum Systems”, [1605.07523], by J. Jing, M. S. Sarandy, D. A. Lidar, D. W. Luo, L. A. Wu*6.*“Simulated Quantum Annealing with Two All-to-All Connectivity Schemes”, [1603.03755v1], by T. Albash, W. Vinci, and D. A. Lidar*5.*“Tunneling and speedup in quantum optimization for permutation-symmetric problems”, [1511.03910], by S. Muthukrishnan, T. Albash, and D. A. Lidar*4.*“Nested Quantum Annealing Correction”, [1511.07084], by W. Vinci, T. Albash, D. A. Lidar*3.*“When Diabatic Trumps Adiabatic in Quantum Optimization”, [1505.01249], by S. Muthukrishnan, T. Albash, and D.A. Lidar- 2 . “Evolution Prediction from Tomography”, [1312.0973], by J. Dominy, L. Campos-Venuti, A. Shabani, and D.A. Lidar.
*1*. “Review of Decoherence Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling”, [1208.5971], by D.A. Lidar*.*

*2*. “Quantum Computing: Against the Odds of Imperfection”, by D.A. Lidar, Nature Physics**1**, 145 (2005) [pdf]*1*. “Quantum Computers Made Lucid”, by D.A. Lidar, review of the book “A Shortcut Through Time: The Path to the Quantum Computer” by George Johnson, in Chemical & Engineering News 81, no. 32, pp.36-37 (2003)[pdf]

*2*. “Editorial: How to Control Decoherence and Entanglement in Quantum Complex Systems?”, J. Phys. B**40**, E01 (2007), by V. Akulin, G. Kurizki, and D.A. Lidar [pdf]*1*. “Editorial: Quantum Information and Quantum Control”, Quant. Info. and Computation**5**, 273 (2005), by P. Brumer, D. Lidar, H.-K. Lo, and A. Steinberg [pdf]

*6*. “Encoded Universality in Physical Implementations of a Quantum Computer”, by D. Bacon, J. Kempe, D. P. DiVincenzo, D. A. Lidar, and K. B. Whaley, Proceedings of the International Conference on Experimental Implementation of Quantum Computation, Sydney, Australia (IQC 01), p. 257-264 (2001), Rinton Press.*5*. “Robust Dynamical Decoupling: Feedback-Free Error Correction”, by D.A. Lidar and K. Khodjasteh, [Proceedings of the 1st Asia-Pacific Conference on Quantum Information Science], in the International Journal of Quantum Information, Vol. 3, Supplementary Issue 1, 41-52 (November 2005). [pdf]*4*. “Hybrid Decoherence-Free Error-Correcting Codes via Quantum Trajectories”, by K. Khodjasteh and D.A. Lidar, 6th International Conference on Quantum Communication, Measurement and Computing (QCMC 02), July 22-26, 2002. Proceedings of the Quantum Communication, Measurement and Computing, 493-495 (2003)[pdf]*3*. “Quantum Computers and Decoherence: Exorcising the Demon from the Machine”, by D.A. Lidar and L.-A. Wu, in Proceedings of the SPIE, “Noise and Information in Nanoelectronics, Sensors, and Standards”, Santa Fe, New Mexico, Vol. 5115, p. 256-270 (2003). Online at quant-ph/0302198 [pdf]*2*. “Fault-Tolerant Quantum Dynamical Decoupling”, by K. Khodjasteh and D.A. Lidar, CLEO/QELS 2005 Conference, Baltimore, MD, Joint Symposia on Coherent and Quantum Control [pdf]*1*. “Generalized Grover Search Algorithm for Arbitrary Initial Amplitude Distribution”, by D. Biron, O. Biham, E. Biham, M. Grassl, and D.A. Lidar, in “Quantum Computing and Quantum Communications”, C.P. Williams (Ed.), Springer-Verlag Lecture Notes in Computer Science, Vol. 1509, p. 140-147 (1999)[pdf]

*1*. “Dreams Versus Reality: Plenary Debate Session on Quantum Computing”, Fluctuation and Noise Letters, Vol**08**, No. 02, pp.C27-C31 (2003), by D. Abbott, C. Doering, C. Caves, D. Lidar, H. Brandt, A. Hamilton, D. Ferry, J. Gea-Banacloche, S. Bezrukov, and L. Kish. [pdf]

- “Caltech Physics Colloquium” (May 26, 2016)
- Quantum Information Processing: Are We There Yet? (Google Tech Talks)
- Quantum Annealing Correction (Third International Conference on Quantum Error Correction, Zurich, Switzerland, December 15-19, 2014)
- Introduction to dynamical decoupling (44th Symposium on Mathematical Physics, “New Developments in the Theory of Open Quantum Systems”, Torun, Poland, June 20-24, 2012)
- Quantum Approach to Information Retrieval: Adiabatic Quantum PageRank Algorithm (First NASA Quantum Future Technologies Conference, Moffett Field, California, Jan 17-21, 2012)
- Adiabatic Quantum Computation, Decoherence-Free Subspaces & Noiseless Subsystems, and Dynamical Decoupling (10th Canadian Summer School on Quantum Information, Vancouver, British Columbia, July 23-25, 2010)
- Accurate and decoherence-protected adiabatic quantum computation (Quantum Algorithms, Computational Models, and Foundations of Quantum Mechanics, Vancouver, British Columbia, 2010)
- Preserving and extending quantum coherence: from the spin echo effect to fault tolerant quantum computation (IMA Workshop on Coherence, Control, and Dissipation, Minneapolis, March 3, 2009)
- Low-level fault tolerance via concatenated dynamical decoupling (Perimeter Institute, June 15, 2007)
- Adiabaticity in Open Quantum Systems: Geometric Phases & Adiabatic Quantum Computing (ISF Workshop on DEICS-QUDAL, 2006) [ppt]
- Fault tolerant quantum dynamical decoupling (Perimeter Institute, June 15, 2005)
- Quantum Computers and Decoherence: Exorcising the Demon from the Machine (Physics Colloquium, Hebrew University of Jerusalem, 2004)
- Hybrid quantum error prevention, reduction, and correction method (Fields Institute Conference on Quantum Information and Quantum Contol, July 2004) [ppt]
- Ion trap QC (Fields Institute Summer School, May 15, 2001)
- Universal Fault Tolerant Quantum Computation On Decoherence-Free Subspaces (MSRI Workshop, January 5-7, 2000)

- “Quantum Computing Center at USC in line for a big upgrade” USC News, 2015
- “USC press room releases”
- “This New Quantum Computer Really Sparkles”, Discover Magazine, 2013
- “Diamonds and Quantum Computing”, Inside Higher Ed “Academic Minute Podcast “, 2012
- “PCs in the Sky with Diamonds”, PC Magazine, 2012
- “Best Explanation of Quantum Computing…Ever!”, Digital Culture, 2012
- “A Quantum Leap for a Big, Cold Computer”, Wall Street Journal, October 2011
- “USC Awarded Two Department of Defense Grants”, USC News, May 2011
- “Author Interview – Quantum Computers”, ScienceWatch.com, March 2010
- “Top 20 Authors – Quantum Computers”, ScienceWatch.com, March 2010
- “Most Cited Papers (2 years) – Quantum Computers”, ScienceWatch.com, March 2010
- “Attack of the quantum worms”, New Scientist, 29 October 2005, pp. 30-33 [pdf]
- “Single field shapes quantum bits”, by Eric Smalley, Technology Research News, November 3/10, 2004
- “Sturdy quantum computing demoed”, by Eric Smalley, Technology Research News, April 7/14, 2004
- “Quantum Computing: Bit by Bit”, The Economist, April 3, 2004, pp. 77-78 [pdf]
- “Five researchers win….”, News @ UofT, March 2003
- “Bright light, big ideas”, University of Toronto Maganize, Fall 2002
- “A quantum leap in the way computers think”, Toronto Star, March 2002
- “Alternative quantum bits go natural”, Technology Research News, April 2001
- “Quantum Computers”, Chemical & Engineering News cover story, November 2000
- “Haven for Quantum Computation”, Science, Editor’s Choice, September 2000

- Theory of Open Quantum Systems Spring 2013
- Applied Linear Algebra for Engineering Fall 2012
- Applied Linear Algebra for Engineering Fall 2010
- Applied Linear Algebra for Engineering Fall 2009
- Applied Linear Algebra for Engineering Spring 2006
- The Cutting Edge in Quantum Information Science Spring 2006
- Theory of Open Quantum Systems Fall 2006
- Physical Chemistry Seminar Spring 2007
- Physical Chemistry Seminar Fall 2006
- Introduction to Quantum Error Correction Fall 2011
- Introduction to Quantum Error Correction Spring 2007
- Applied Linear Algebra for Engineering (DEN)Spring 2008
- Statistical Mechanics Spring 2012
- Statistical Mechanics Spring 2011
- Statistical Mechanics Spring 2010
- Statistical Mechanics Spring 2008
- Physical Chemistry Spring 2011

Erdos number ≤ 3.