Optimizing Variational Quantum Algorithms Using Pontryagin’s Minimum Principle

Yang, Zhi-Cheng; Rahmani, Armin; Shabani, Alireza; Neven, Hartmut; Chamon, Claudio

doi:10.1103/PhysRevX.7.021027

Optimizing Variational Quantum Algorithms Using Pontryagin’s Minimum Principle

Journal Article · Thu May 18 00:00:00 EDT 2017 · Physical Review. X

DOI:https://doi.org/10.1103/PhysRevX.7.021027· OSTI ID:1357856

Yang, Zhi-Cheng; Rahmani, Armin; Shabani, Alireza; Neven, Hartmut; Chamon, Claudio

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-06ER46316

OSTI ID:: 1357856

Alternate ID(s):: OSTI ID: 1389776

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Journal Issue: 2 Vol. 7; ISSN PRXHAE; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (37)

A study of heuristic guesses for adiabatic quantum computation Perdomo-Ortiz, Alejandro; Venegas-Andraca, Salvador E.; Aspuru-Guzik, Alán Quantum Information Processing, Vol. 10, Issue 1 https://doi.org/10.1007/s11128-010-0168-z	journal	March 2010
Quantum Computation and Quantum Information Nielsen, Michael A.; Chuang, Isaac L. Cambridge University Press https://doi.org/10.1017/CBO9780511976667	book	January 2011
Commercialize quantum technologies in five years Mohseni, Masoud; Read, Peter; Neven, Hartmut Nature, Vol. 543, Issue 7644 https://doi.org/10.1038/543171a	journal	March 2017
Digitized adiabatic quantum computing with a superconducting circuit Barends, R.; Shabani, A.; Lamata, L. Nature, Vol. 534, Issue 7606 https://doi.org/10.1038/nature17658	journal	June 2016
Computational multiqubit tunnelling in programmable quantum annealers Boixo, Sergio; Smelyanskiy, Vadim N.; Shabani, Alireza Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10327	journal	January 2016
A variational eigenvalue solver on a photonic quantum processor Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5213	journal	July 2014
From transistor to trapped-ion computers for quantum chemistry Yung, M. -H.; Casanova, J.; Mezzacapo, A. Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep03589	journal	January 2014
Quantum control theory and applications: a survey Petersen, I. R.; Dong, D. IET Control Theory & Applications, Vol. 4, Issue 12 https://doi.org/10.1049/iet-cta.2009.0508	journal	December 2010
Stochastic optimization of a cold atom experiment using a genetic algorithm Rohringer, W.; Bücker, R.; Manz, S. Applied Physics Letters, Vol. 93, Issue 26 https://doi.org/10.1063/1.3058756	journal	December 2008
Control of quantum phenomena: past, present and future Brif, Constantin; Chakrabarti, Raj; Rabitz, Herschel New Journal of Physics, Vol. 12, Issue 7 https://doi.org/10.1088/1367-2630/12/7/075008	journal	July 2010
Quantum adiabatic Markovian master equations Albash, Tameem; Boixo, Sergio; Lidar, Daniel A. New Journal of Physics, Vol. 14, Issue 12 https://doi.org/10.1088/1367-2630/14/12/123016	journal	December 2012
Exploring adiabatic quantum trajectories via optimal control Brif, Constantin; Grace, Matthew D.; Sarovar, Mohan New Journal of Physics, Vol. 16, Issue 6 https://doi.org/10.1088/1367-2630/16/6/065013	journal	June 2014
The theory of variational hybrid quantum-classical algorithms McClean, Jarrod R.; Romero, Jonathan; Babbush, Ryan New Journal of Physics, Vol. 18, Issue 2 https://doi.org/10.1088/1367-2630/18/2/023023	journal	February 2016
Minimum error discrimination for an ensemble of linearly independent pure states Singal, Tanmay; Ghosh, Sibasish Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 16 https://doi.org/10.1088/1751-8113/49/16/165304	journal	March 2016
Role of single-qubit decoherence time in adiabatic quantum computation Amin, M. H. S.; Truncik, C. J. S.; Averin, D. V. Physical Review A, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevA.80.022303	journal	August 2009
Heating dynamics of bosonic atoms in a noisy optical lattice Pichler, Hannes; Schachenmayer, Johannes; Daley, Andrew J. Physical Review A, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevA.87.033606	journal	March 2013
Cooling through optimal control of quantum evolution Rahmani, Armin; Kitagawa, Takuya; Demler, Eugene Physical Review A, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevA.87.043607	journal	April 2013
Fast closed-loop optimal control of ultracold atoms in an optical lattice Rosi, S.; Bernard, A.; Fabbri, N. Physical Review A, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevA.88.021601	journal	August 2013
Increase of degeneracy improves the performance of the quantum adiabatic algorithm Zhuang, Quntao Physical Review A, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevA.90.052317	journal	November 2014
Dynamics of noisy quantum systems in the Heisenberg picture: Application to the stability of fractional charge Rahmani, Armin Physical Review A, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevA.92.042110	journal	October 2015
Progress towards practical quantum variational algorithms Wecker, Dave; Hastings, Matthew B.; Troyer, Matthias Physical Review A, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevA.92.042303	journal	October 2015
Training a quantum optimizer Wecker, Dave; Hastings, Matthew B.; Troyer, Matthias Physical Review A, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevA.94.022309	journal	August 2016
Quantum implementation of the unitary coupled cluster for simulating molecular electronic structure Shen, Yangchao; Zhang, Xiang; Zhang, Shuaining Physical Review A, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevA.95.020501	journal	February 2017
Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states McClean, Jarrod R.; Kimchi-Schwartz, Mollie E.; Carter, Jonathan Physical Review A, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevA.95.042308	journal	April 2017
Optimal control of Majorana zero modes Karzig, Torsten; Rahmani, Armin; von Oppen, Felix Physical Review B, Vol. 91, Issue 20 https://doi.org/10.1103/PhysRevB.91.201404	journal	May 2015
Quantum annealing in the transverse Ising model Kadowaki, Tadashi; Nishimori, Hidetoshi Physical Review E, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevE.58.5355	journal	November 1998
Quantum Adiabatic Brachistochrone Rezakhani, A. T.; Kuo, W. -J.; Hamma, A. Physical Review Letters, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevLett.103.080502	journal	August 2009
Heavy Tails in the Distribution of Time to Solution for Classical and Quantum Annealing Steiger, Damian S.; Rønnow, Troels F.; Troyer, Matthias Physical Review Letters, Vol. 115, Issue 23 https://doi.org/10.1103/PhysRevLett.115.230501	journal	December 2015
Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field Dutta, Anirban; Rahmani, Armin; del Campo, Adolfo Physical Review Letters, Vol. 117, Issue 8 https://doi.org/10.1103/PhysRevLett.117.080402	journal	August 2016
Solvable Model of a Spin-Glass Sherrington, David; Kirkpatrick, Scott Physical Review Letters, Vol. 35, Issue 26 https://doi.org/10.1103/PhysRevLett.35.1792	journal	December 1975
Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits Eichler, C.; Mlynek, J.; Butscher, J. Physical Review X, Vol. 5, Issue 4 https://doi.org/10.1103/PhysRevX.5.041044	journal	December 2015
Scalable Quantum Simulation of Molecular Energies O’Malley, P. J. J.; Babbush, R.; Kivlichan, I. D. Physical Review X, Vol. 6, Issue 3 https://doi.org/10.1103/PhysRevX.6.031007	journal	July 2016
Adaptive feedback control Astrom, K. J. Proceedings of the IEEE, Vol. 75, Issue 2 https://doi.org/10.1109/PROC.1987.13721	journal	January 1987
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem Farhi, E.; Goldstone, J.; Gutmann, S. Science, Vol. 292, Issue 5516 https://doi.org/10.1126/science.1057726	journal	April 2001
Quantum versus classical annealing of Ising spin glasses Heim, B.; Ronnow, T. F.; Isakov, S. V. Science, Vol. 348, Issue 6231 https://doi.org/10.1126/science.aaa4170	journal	March 2015
Quantum Dynamics with an Ensemble of Hamiltonians Rahmani, Armin Modern Physics Letters B, Vol. 27, Issue 26 https://doi.org/10.1142/S0217984913300196	journal	October 2013
Ising formulations of many NP problems Lucas, Andrew Frontiers in Physics, Vol. 2 https://doi.org/10.3389/fphy.2014.00005	journal	January 2014

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Optimizing Variational Quantum Algorithms Using Pontryagin’s Minimum Principle

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