Quantum Computation and Open Quantum Systems at USC

Journal Publications

2009

• “Adiabatic Approximation with Exponential Accuracy for Many-Body Systems and Quantum Computation”, J. Math. Phys. 50, 102106 (2009), by D. A. Lidar, A. T. Rezakhani, and A. Hamma. [pdf]
• “Quantum Adiabatic Brachistochrone”, Phys. Rev. Lett. 103, 080502 (2009), by A.T. Rezakhani, W.-J. Kuo, A. Hamma, D.A. Lidar, and P. Zanardi. [pdf]
• “Scheme for Fault-Tolerant Holonomic Computation on Stabilizer Codes”, Phys. Rev. A 80, 022325 (2009), by Ognyan Oreshkov, Todd A. Brun, and Daniel A. Lidar [pdf]
• “Quantum Error Correction via Convex Optimization”, Quant. Info. Processing 8, 441 (2009), by Robert L. Kosut and Daniel A. Lidar [pdf]
• “Maps for General Open Quantum Systems and a Theory of Linear Quantum Error Correction”, Phys. Rev. A 80, 012309 (2009), by Alireza Shabani and Daniel A. Lidar [pdf]
• “Vanishing Quantum Discord is Necessary and Sufficient for Completely Positive Maps”, Phys. Rev. Lett. 102, 100402 (2009), by A. Shabani and D. A. Lidar. [pdf]
• “Fault-Tolerant Holonomic Quantum Computation”, Phys. Rev. Lett. 102, 070502 (2009), by Ognyan Oreshkov, Todd A. Brun, and Daniel A. Lidar [pdf]

2008

• “Operator Quantum Error Correction for Continuous Dynamics”,  Phys. Rev. A 78, 022333 (2008), by Ognyan Oreshkov, Daniel A. Lidar, and Todd A. Brun [pdf]
• “Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme”, Phys. Rev. A 78, 012355 (2008), by K. Khodjasteh, and D.A. Lidar [pdf]
• “Encoding One Logical Qubit Into Six Physical Qubits”, Phys. Rev. A 78, 012337 (2008), by Bilal Shaw, Mark M. Wilde, Ognyan Oreshkov, Isaac Kremsky, and Daniel A. Lidar [pdf]
• “Distance Bounds on Quantum Dynamics”, Phys. Rev. A 78, 012308 (2008), by D.A. Lidar, P. Zanardi, and K. Khodjasteh [pdf]
• “Optimal Dynamical Decoherence Control of a Qubit”, Phys. Rev. Lett. 101, 010403 (2008), by Goren Gordon, Gershon Kurizki, and Daniel A. Lidar [pdf]
• “Bang-Bang Control of a Qubit Coupled to a Quantum Critical Spin Bath”, Phys. Rev. A 77, 052112 (2008), by Davide Rossini, Paolo Facchi, Rosario Fazio, Giuseppe Florio, Daniel A. Lidar, Saverio Pascazio, Francesco Plastina, and Paolo Zanardi [pdf]
• “ Towards Fault Tolerant Adiabatic Quantum Computation”, Phys. Rev. Lett. 100, 160506 (2008), by Daniel A. Lidar [pdf]
• “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. A. Lidar [pdf]
• “Quantum Process Tomography: Resource Analysis of Different Strategies”, Phys. Rev. A 77, 032322 (2008), by M. Mohseni, A. T. Rezakhani, and  D. A. Lidar [pdf]
• “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. A. Lidar [pdf]
• “Adiabatic Preparation of Topological Order”, Phys. Rev. Lett. 100, 030502 (2008), by A. Hamma and D.A. Lidar [pdf]
• “The Spin Density Matrix II: Application to a System of Two Quantum Dots”, Phys. Rev. B 77, 045320 (2008), by Sharif D. Kunikeev and Daniel A. Lidar [pdf]
• “The Spin Density Matrix I: General Theory and Exact Master Equations”, Phys. Rev. B 77, 045319 (2008), by Sharif D. Kunikeev and Daniel A. Lidar [pdf]
• “Robust Quantum Error Correction via Convex Optimization”, Phys. Rev. Lett. 100, 020502 (2008), by R.L. Kosut, A. Shabani, and D.A. Lidar [pdf]

2007

• “Optimal Control of High-Fidelity Quantum Gates in the Presence of Decoherence”, J. Mod. Optics 54, 2339 (2007), by Matthew Grace, Constantin Brif, Herschel Rabitz, Ian Walmsley, Robert Kosut, and Daniel A. Lidar [pdf]
• “Non-Markovian Dynamics of a Qubit Coupled to an Ising Spin Bath”, Phys. Rev. A 76, 052117 (2007), by Hari Krovi, Ognyan Oreshkov, Mikhail Ryazanov, and Daniel A. Lidar [pdf]
• “Simple Proof of Equivalence Between Adiabatic Quantum Computation and the Circuit Model”, Phys. Rev. Lett. 99, 070502 (2007), by A. Mizel, D.A. Lidar, and M. Mitchell [pdf]
• “Direct Characterization of Quantum Dynamics: General Theory”, Phys. Rev. A 75, 062331 (2007), by M. Mohseni and D.A. Lidar [pdf]
• “Efficient Multiqubit Entanglement via a Spin-Bus”, Phys. Rev. Lett. 98, 230503 (2007), by Mark Friesen, Asoka Biswas, Xuedong Hu, Daniel Lidar [pdf]
• “Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences”, Phys. Rev. A 75, 062310 (2007), by K. Khodjasteh and D.A. Lidar [pdf]. Erratum: [pdf]
• “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.A. Lidar [pdf]
• “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]

2006

• “Robust Transmission of Non-Gaussian Entanglement Over Optical Fibers”, Phys. Rev. A 74, 062303 (2006), by A. Biswas and D.A. Lidar [pdf]
• “Linking Entanglement and Quantum Phase Transitions via Density-Functional Theory”, Phys. Rev. A 74, 052335 (2006), by L.-A. Wu, M. S. Sarandy, D. A. Lidar, and L. J. Sham [pdf]
• “Direct Characterization of Quantum Dynamics”, Phys. Rev. Lett. 97,170501 (2006), by M. Mohseni and D.A. Lidar [pdf]
• “Abelian and Non-Abelian Geometric Phases in Adiabatic Open Quantum Systems”, Phys. Rev. A 73, 062101 (2006), by M.S. Sarandy and D.A. Lidar [pdf]
• “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.A. Lidar, and P. Zanardi [pdf]
• “Quantum Malware”, published online in Quant. Info. Processing 5, 69 (2006), by L.-A. Wu and D.A. Lidar [pdf]
• “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.A. Lidar [pdf]
• “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. A. Lidar [pdf]
• “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.A. Lidar, and V.A. Apkarian [pdf]
• “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.A. Lidar, A. Shabani, and R. Alicki [pdf]

2005

• “Adiabatic Quantum Computation in Open Systems”, Phys. Rev. Lett. 95, 250503 (2005), by M.S. Sarandy and D.A. Lidar [pdf]
• “Robustness of Multiqubit Entanglement in the Independent Decoherence Model”, Phys. Rev. A 72, 042339 (2005), by S. Bandyopadhyay and D.A. Lidar [pdf]
• “Fault-Tolerant Quantum Dynamical Decoupling”, Phys. Rev. Lett. 95, 180501 (2005), by K. Khodjasteh and D.A. Lidar [pdf]
• “Holonomic Quantum Computation in Decoherence-Free Subspaces”, Phys. Rev. Lett. 95, 130501 (2005), by L.-A. Wu, P. Zanardi, and D.A. Lidar [pdf]
• “Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems”, Phys. Rev. A 72, 042303 (2005), by A. Shabani and D.A. Lidar [pdf]
• “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.A. Lidar [pdf]
• “Stabilizing Qubit Coherence via Tracking-Control”, Quant. Info. and Computation 5, 350 (2005), by D.A. Lidar and S. Schneider [pdf]
• “Universal Leakage Elimination”, Phys. Rev. A 71, 052301 (2005), by M.S. Byrd, D.A. Lidar, L.-A. Wu, and P. Zanardi [pdf]
• “Completely Positive Post-Markovian Master Equation via a Measurement Approach”, Phys. Rev. A Rapid Comm. 71, 020101 (2005), by A. Shabani and D.A. Lidar [pdf]
• “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.A. Lidar [pdf]
• “Fault-Tolerant Quantum Computation via Exchange Interactions”, Phys. Rev. Lett. 94, 040507 (2005), by M. Mohseni and D.A. Lidar [pdf]
• “Adiabatic Approximation in Open Quantum Systems”, Phys. Rev. A 71, 012331 (2005), by M.S. Sarandy and D.A. Lidar [pdf]

2004

• “Overview of Quantum Error Prevention and Leakage Elimination”, J. Mod. Optics 51, 2449 (2004), by M.S. Byrd, L.-A. Wu, and D.A. Lidar [pdf]
• “Consistency of the Adiabatic Theorem”, Quant. Info. Processing 3, 331 (2004), by M.S. Sarandy, L.-A. Wu, and D.A. Lidar [pdf]
• “Quantum Phase Transitions and Bipartite Entanglement”, Phys. Rev. Lett. 93, 250404 (2004), by L.-A. Wu, M.S. Sarandy, and D.A. Lidar [pdf]
• “Overcoming Quantum Noise in Optical Fibers”, Phys. Rev. A 70, 062310 (2004), by L.-A. Wu and D.A. Lidar [pdf]
• “On the Quantum Computational Complexity of the Ising Spin Glass Partition Function and of Knot Invariants”, New J. Phys. 6, 167 (2004), by D.A. Lidar [pdf]
• “Long-Range Entanglement Generation via Frequent Measurements”, Phys. Rev. A 70, 032322 (2004), by L.-A. Wu, D.A. Lidar, and S. Schneider [pdf]
• “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.A. Lidar [pdf]
• “Purity and State Fidelity of Quantum Channels”, Phys. Rev. A 70, 012315 (2004), by P. Zanardi and D.A. Lidar [pdf]
• “Entangling Capacities of Noisy Two-Qubit Hamiltonians”, Phys. Rev. A Rapid Comm. 70, 010301 (2004), by S. Bandyopadhyay and D.A. Lidar [pdf]
• “One-Spin Quantum Logic Gates from Exchange Interactions and a Global Magnetic Field”, Phys. Rev. Lett. 93, 030501 (2004), by L.-A. Wu, D.A. Lidar, and M. Friesen [pdf]
• “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]
• “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]
• “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]
• “Three and Four-Body Interactions in Spin-Based Quantum Computers”, Phys. Rev. Lett. 92, 077903 (2004), by A. Mizel and D.A. Lidar [pdf]
• “Quantum Tensor Product Structures are Observable Induced”, Phys. Rev. Lett. 92, 060402 (2004), by P. Zanardi, D.A. Lidar, and S. Lloyd [pdf]

2003

• “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]
• “Dressed Qubits”, Phys. Rev. Lett. 91, 097904 (2003), by L.-A. Wu and D.A. Lidar [pdf]
• “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: [pdf]
• “Comment on “Conservative Quantum Computing” [Phys. Rev. Lett. 89, 057902 (2002)]”, Phys. Rev. Lett. 91, 089801 (2003), by D.A. Lidar [pdf]
• “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]
• “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]
• “Combined Error Correction Techniques for Quantum Computing Architectures”, J. Mod. Optics 50, 1285 (2003), by M.S. Byrd and D.A. Lidar [pdf]
• “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]
• “Empirical Determination of Dynamical Decoupling Operations”, Phys. Rev. A 67, 012324 (2003), by M.S. Byrd and D.A. Lidar [pdf]

2002

• “Universal Quantum Logic from Zeeman and Anisotropic Exchange Interactions”, Phys. Rev. A 66, 062314 (2002), by L.-A. Wu and D.A. Lidar [pdf]
• “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: [pdf]
• “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]
• “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]
• “Qubits as Parafermions”, J. Math. Phys. 43, 4506 (2002) (special issue on quantum information), by L.-A. Wu and D.A. Lidar [pdf]
• “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]
• “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]
• “Bang-Bang Operations from a Geometric Perspective”, Quant. Info. Proc. 1, 19 (2002), by M.S. Byrd and D.A. Lidar [pdf]
• “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]
• “Creating Decoherence-Free Subspaces Using Strong and Fast Pulses”, Phys. Rev. Lett. 88, 207902 (2002), by L.-A. Wu and D.A. Lidar [pdf]
• “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]
• “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]
• “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]
• “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]

Book Chapters

• “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, Vol. 622, Berlin, 2003). Online at quant-ph/0301032 [pdf]

Invited Review

Editorials

• “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]
• “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]

Preprints

• “Near-Optimal Dynamical Decoupling of a Qubit”, [0908.4490] by Jacob R. West, Bryan H. Fong, and Daniel A. Lidar
• “Arbitrarily Accurate Dynamical Control in Open Quantum Systems”, [0908.1526] by Kaveh Khodjasteh, Daniel A. Lidar, and Lorenza Viola
• “The Optimal Control Landscape for the Generation of Unitary Transformations with Constrained Dynamics”, [0906.4533] by Michael Hsieh, Rebing Wu, Herschel Rabitz, and Daniel Lidar.
• “Entanglement and Area Law with a Fractal Boundary”, [0903.4444] by Alioscia Hamma, Daniel A. Lidar and Simone Severini.
• “Classical Ising Model Test for Quantum Circuits”, [0902.4889v1] by J. Geraci, D.A. Lidar.
• “Channel-Optimized Quantum Error Correction”, [0810.2524] by Soraya Taghavi, Robert L. Kosut, and Daniel A. Lidar.
• “Reply to M. Ziman’s “Notes on Optimality of Direct Characterization of Quantum Dynamics””, [quant-ph/0604114] by M. Mohseni and D.A. Lidar,

Proceedings

• “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)
• “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]
• “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]
• “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]