Markov chains for error accumulation in quantum circuits
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[1] Paul H. Roberts,et al. Random walk on a sphere and on a Riemannian manifold , 1960, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[2] Milton Abramowitz,et al. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .
[3] G. Arfken. Mathematical Methods for Physicists , 1967 .
[4] M. Abramowitz,et al. Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables , 1966 .
[5] C. Grosjean. Theory of recursive generation of systems of orthogonal polynomials: An illustrative example , 1985 .
[6] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[7] Charles H. Bennett,et al. Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.
[8] Charles H. Bennett,et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.
[9] Martin L. Puterman,et al. Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .
[10] Daniel Gottesman,et al. Stabilizer Codes and Quantum Error Correction , 1997, quant-ph/9705052.
[11] J. Preskill. Quantum computing: pro and con , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[12] D. Gottesman. The Heisenberg Representation of Quantum Computers , 1998, quant-ph/9807006.
[13] Ruskai. Pauli exchange errors in quantum computation , 1999, Physical review letters.
[14] A. Fowler,et al. Scalability of Shor’s algorithm with a limited set of rotation gates , 2003, quant-ph/0306018.
[15] Scott Aaronson,et al. Improved Simulation of Stabilizer Circuits , 2004, ArXiv.
[16] H. Gutmann. Description and control of decoherence in quantum bit systems , 2005 .
[17] E. Knill. Quantum computing with realistically noisy devices , 2005, Nature.
[18] M. Anthony,et al. Advanced linear algebra , 2006 .
[19] Thierry Paul,et al. Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.
[20] Philippe Flajolet,et al. Analytic Combinatorics , 2009 .
[21] Joseph Emerson,et al. Scalable and robust randomized benchmarking of quantum processes. , 2010, Physical review letters.
[22] David G. Cory,et al. Modeling Quantum Noise for efficient testing of fault-tolerant circuits , 2012, 1206.5407.
[23] Kenneth R. Brown,et al. Approximation of realistic errors by Clifford channels and Pauli measurements , 2012, 1207.0046.
[24] Andrew W. Cross,et al. Investigating the limits of randomized benchmarking protocols , 2013, 1308.2928.
[25] John A. Smolin,et al. How to efficiently select an arbitrary Clifford group element , 2014, 1406.2170.
[26] P. V. Mieghem,et al. Performance Analysis of Complex Networks and Systems , 2014 .
[27] Igor L. Markov,et al. On the geometry of stabilizer states , 2014, Quantum Inf. Comput..
[28] M Saffman,et al. Randomized benchmarking of single-qubit gates in a 2D array of neutral-atom qubits. , 2015, Physical review letters.
[29] K. Fujii. Stabilizer Formalism and Its Applications , 2015 .
[30] Joel J. Wallman,et al. Robust Characterization of Loss Rates. , 2015, Physical review letters.
[31] Peter Selinger,et al. Generators and relations for n-qubit Clifford operators , 2013, Log. Methods Comput. Sci..
[32] Daniel Gottesman,et al. Quantum computing: Efficient fault tolerance , 2016, Nature.
[33] M. A. Rol,et al. Repeated quantum error correction on a continuously encoded qubit by real-time feedback , 2015, Nature Communications.
[34] Andrea Klug,et al. Bells Theorem Quantum Theory And Conceptions Of The Universe , 2016 .
[35] Kenneth R. Brown,et al. Analytical error analysis of Clifford gates by the fault-path tracer method , 2015, Quantum Inf. Process..
[36] Michael J. Biercuk,et al. Effect of noise correlations on randomized benchmarking , 2015, 1504.05307.
[37] Pierre Brémaud. Discrete Probability Models and Methods , 2017 .
[38] Joel J. Wallman,et al. Randomized benchmarking with gate-dependent noise , 2017, 1703.09835.
[39] Bryan H. Fong,et al. Randomized Benchmarking, Correlated Noise, and Ising Models , 2017, 1703.09747.
[40] Caroline Figgatt,et al. Fault-tolerant quantum error detection , 2016, Science Advances.
[41] Sergey Bravyi,et al. Correcting coherent errors with surface codes , 2017, npj Quantum Information.
[42] Daniel Stilck Francca,et al. Approximate randomized benchmarking for finite groups , 2018, Journal of Physics A: Mathematical and Theoretical.
[43] Bryan Eastin,et al. Randomized benchmarking with restricted gate sets , 2018, Physical Review A.
[44] Jay M. Gambetta,et al. Quantification and characterization of leakage errors , 2017, 1704.03081.
[45] Zachary Dutton,et al. Modeling coherent errors in quantum error correction , 2016, 1612.03908.
[46] Andrew W. Cross,et al. Quantum optimization using variational algorithms on near-term quantum devices , 2017, Quantum Science and Technology.
[47] Steven Flammia,et al. Performance of quantum error correction with coherent errors , 2018, Physical Review A.
[48] Steven T. Flammia,et al. Statistical analysis of randomized benchmarking , 2019, Physical Review A.