From Pulses to Circuits and Back Again: A Quantum Optimal Control Perspective on Variational Quantum Algorithms

Magann, Alicia B.; Arenz, Christian; Grace, Matthew D.; Ho, Tak-San; Kosut, Robert L.; McClean, Jarrod R.; Rabitz, Herschel A.; Sarovar, Mohan

doi:10.1103/PRXQuantum.2.010101

From Pulses to Circuits and Back Again: A Quantum Optimal Control Perspective on Variational Quantum Algorithms

Journal Article · Mon Jan 11 23:00:00 EST 2021 · PRX Quantum

DOI:https://doi.org/10.1103/PRXQuantum.2.010101· OSTI ID:1759100

; ; ; Ho, Tak-San; ; McClean, Jarrod R.; ;

Not Available

View Journal Article

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: NONE; FG02-02ER15344; FG02-97ER25308; NA0003525

OSTI ID:: 1759100

Journal Information:: PRX Quantum, Journal Name: PRX Quantum Journal Issue: 1 Vol. 2; ISSN PQRUAG; ISSN 2691-3399

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (120)

New perspectives on unitary coupled-cluster theory Taube, Andrew G.; Bartlett, Rodney J. International Journal of Quantum Chemistry, Vol. 106, Issue 15 https://doi.org/10.1002/qua.21198	journal	January 2006
Quantum error correction via convex optimization Kosut, Robert L.; Lidar, Daniel A. Quantum Information Processing, Vol. 8, Issue 5 https://doi.org/10.1007/s11128-009-0120-2	journal	July 2009
Benchmarking the quantum approximate optimization algorithm Willsch, Madita; Willsch, Dennis; Jin, Fengping Quantum Information Processing, Vol. 19, Issue 7 https://doi.org/10.1007/s11128-020-02692-8	journal	June 2020
On the universality of the quantum approximate optimization algorithm Morales, M. E. S.; Biamonte, J. D.; Zimborás, Z. Quantum Information Processing, Vol. 19, Issue 9 https://doi.org/10.1007/s11128-020-02748-9	journal	August 2020
Control systems on Lie groups Jurdjevic, Velimir; Sussmann, Héctor J. Journal of Differential Equations, Vol. 12, Issue 2 https://doi.org/10.1016/0022-0396(72)90035-6	journal	September 1972
Wavepacket dancing: Achieving chemical selectivity by shaping light pulses Kosloff, R.; Rice, S. A.; Gaspard, P. Chemical Physics, Vol. 139, Issue 1 https://doi.org/10.1016/0301-0104(89)90012-8	journal	December 1989
The Lie algebra structure and controllability of spin systems Albertini, Francesca; D'Alessandro, Domenico Linear Algebra and its Applications, Vol. 350, Issue 1-3 https://doi.org/10.1016/S0024-3795(02)00290-2	journal	July 2002
Lie-semigroup structures for reachability and control of open quantum systems: kossakowski-lindblad generators form lie wedge to markovian channels Dirr, G.; Helmke, U.; Kurniawan, I. Reports on Mathematical Physics, Vol. 64, Issue 1-2 https://doi.org/10.1016/S0034-4877(09)90022-2	journal	August 2009
A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction Ho, Tak-San; Rabitz, Herschel; Chu, Shih-I Computer Physics Communications, Vol. 182, Issue 1 https://doi.org/10.1016/j.cpc.2010.08.002	journal	January 2011
Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms Khaneja, Navin; Reiss, Timo; Kehlet, Cindie Journal of Magnetic Resonance, Vol. 172, Issue 2 https://doi.org/10.1016/j.jmr.2004.11.004	journal	February 2005
Why do effective quantum controls appear easy to find? Ho, Tak-San; Rabitz, Herschel Journal of Photochemistry and Photobiology A: Chemistry, Vol. 180, Issue 3 https://doi.org/10.1016/j.jphotochem.2006.03.038	journal	June 2006
Is the Trotterized UCCSD Ansatz Chemically Well-Defined? Grimsley, Harper R.; Claudino, Daniel; Economou, Sophia E. Journal of Chemical Theory and Computation, Vol. 16, Issue 1 https://doi.org/10.1021/acs.jctc.9b01083	journal	November 2019
Coherent control of macroscopic quantum states in a single-Cooper-pair box Nakamura, Y.; Pashkin, Yu. A.; Tsai, J. S. Nature, Vol. 398, Issue 6730 https://doi.org/10.1038/19718	journal	April 1999
Demonstration of conditional gate operation using superconducting charge qubits Yamamoto, T.; Pashkin, Yu. A.; Astafiev, O. Nature, Vol. 425, Issue 6961 https://doi.org/10.1038/nature02015	journal	October 2003
Quantum error correction in a solid-state hybrid spin register Waldherr, G.; Wang, Y.; Zaiser, S. Nature, Vol. 506, Issue 7487 https://doi.org/10.1038/nature12919	journal	February 2014
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets Kandala, Abhinav; Mezzacapo, Antonio; Temme, Kristan Nature, Vol. 549, Issue 7671 https://doi.org/10.1038/nature23879	journal	September 2017
High-fidelity spin entanglement using optimal control Dolde, Florian; Bergholm, Ville; Wang, Ya Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4371	journal	February 2014
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
Exponential rise of dynamical complexity in quantum computing through projections Burgarth, Daniel Klaus; Facchi, Paolo; Giovannetti, Vittorio Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms6173	journal	October 2014
Barren plateaus in quantum neural network training landscapes McClean, Jarrod R.; Boixo, Sergio; Smelyanskiy, Vadim N. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-07090-4	journal	November 2018
An adaptive variational algorithm for exact molecular simulations on a quantum computer Grimsley, Harper R.; Economou, Sophia E.; Barnes, Edwin Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-10988-2	journal	July 2019
Enhancing quantum control by bootstrapping a quantum processor of 12 qubits Lu, Dawei; Li, Keren; Li, Jun npj Quantum Information, Vol. 3, Issue 1 https://doi.org/10.1038/s41534-017-0045-z	journal	October 2017
Large-scale silicon quantum photonics implementing arbitrary two-qubit processing Qiang, Xiaogang; Zhou, Xiaoqi; Wang, Jianwei Nature Photonics, Vol. 12, Issue 9 https://doi.org/10.1038/s41566-018-0236-y	journal	August 2018
Error mitigation extends the computational reach of a noisy quantum processor Kandala, Abhinav; Temme, Kristan; Córcoles, Antonio D. Nature, Vol. 567, Issue 7749 https://doi.org/10.1038/s41586-019-1040-7	journal	March 2019
Quantum supremacy using a programmable superconducting processor Arute, Frank; Arya, Kunal; Babbush, Ryan Nature, Vol. 574, Issue 7779 https://doi.org/10.1038/s41586-019-1666-5	journal	October 2019
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
Controllability of quantum mechanical systems by root space decomposition of su(N) Altafini, Claudio Journal of Mathematical Physics, Vol. 43, Issue 5 https://doi.org/10.1063/1.1467611	journal	January 2002
Quantum observable homotopy tracking control Rothman, Adam; Ho, Tak-San; Rabitz, Herschel The Journal of Chemical Physics, Vol. 123, Issue 13 https://doi.org/10.1063/1.2042456	journal	October 2005
Optimal control landscapes for quantum observables Rabitz, Herschel; Hsieh, Michael; Rosenthal, Carey The Journal of Chemical Physics, Vol. 124, Issue 20 https://doi.org/10.1063/1.2198837	journal	May 2006
Monotonically convergent optimization in quantum control using Krotov's method Reich, Daniel M.; Ndong, Mamadou; Koch, Christiane P. The Journal of Chemical Physics, Vol. 136, Issue 10 https://doi.org/10.1063/1.3691827	journal	March 2012
Quantum mechanical optimal control of physical observables in microsystems Shi, Shenghua; Rabitz, Herschel The Journal of Chemical Physics, Vol. 92, Issue 1 https://doi.org/10.1063/1.458438	journal	January 1990
Extensions to quantum optimal control algorithms and applications to special problems in state selective molecular dynamics Sundermann, Karsten; de Vivie-Riedle, Regina The Journal of Chemical Physics, Vol. 110, Issue 4 https://doi.org/10.1063/1.477856	journal	January 1999
Minimum time optimal synthesis for two level quantum systems Albertini, Francesca; D’Alessandro, Domenico Journal of Mathematical Physics, Vol. 56, Issue 1 https://doi.org/10.1063/1.4906137	journal	January 2015
General theory of fractal path integrals with applications to many‐body theories and statistical physics Suzuki, Masuo Journal of Mathematical Physics, Vol. 32, Issue 2 https://doi.org/10.1063/1.529425	journal	February 1991
Quantum control landscapes Chakrabarti, Raj; Rabitz, Herschel International Reviews in Physical Chemistry, Vol. 26, Issue 4 https://doi.org/10.1080/01442350701633300	journal	October 2007
Complete controllability of finite-level quantum systems Fu, H.; Schirmer, S. G.; Solomon, A. I. Journal of Physics A: Mathematical and General, Vol. 34, Issue 8 https://doi.org/10.1088/0305-4470/34/8/313	journal	February 2001
Wavefunction controllability for finite-dimensional bilinear quantum systems Turinici, Gabriel; Rabitz, Herschel Journal of Physics A: Mathematical and General, Vol. 36, Issue 10 https://doi.org/10.1088/0305-4470/36/10/316	journal	February 2003
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
Control of open quantum systems: case study of the central spin model Arenz, Christian; Gualdi, Giulia; Burgarth, Daniel New Journal of Physics, Vol. 16, Issue 6 https://doi.org/10.1088/1367-2630/16/6/065023	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
The roles of drift and control field constraints upon quantum control speed limits Arenz, Christian; Russell, Benjamin; Burgarth, Daniel New Journal of Physics, Vol. 19, Issue 10 https://doi.org/10.1088/1367-2630/aa8242	journal	October 2017
Application of fermionic marginal constraints to hybrid quantum algorithms Rubin, Nicholas C.; Babbush, Ryan; McClean, Jarrod New Journal of Physics, Vol. 20, Issue 5 https://doi.org/10.1088/1367-2630/aab919	journal	May 2018
Dependence of the quantum speed limit on system size and control complexity Lee, Juneseo; Arenz, Christian; Rabitz, Herschel New Journal of Physics, Vol. 20, Issue 6 https://doi.org/10.1088/1367-2630/aac6f3	journal	June 2018
Control landscapes are almost always trap free: a geometric assessment Russell, Benjamin; Rabitz, Herschel; Wu, Re-Bing Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 20 https://doi.org/10.1088/1751-8121/aa6b77	journal	April 2017
Reply to comment on ‘control landscapes are almost always trap free: a geometric assessment’ Russell, Benjamin; Wu, Rebing; Rabitz, Herschel Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 50 https://doi.org/10.1088/1751-8121/aaecf2	journal	November 2018
Comment on ‘Control landscapes are almost always trap free: a geometric assessment’ Zhdanov, Dmitry V. Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 50 https://doi.org/10.1088/1751-8121/aaecf6	journal	November 2018
Quantum control landscape of bipartite systems Kosut, Robert L.; Arenz, Christian; Rabitz, Herschel Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 16 https://doi.org/10.1088/1751-8121/ab0dc9	journal	March 2019
An upper bound on the time required to implement unitary operations Lee, Juneseo; Arenz, Christian; Burgarth, Daniel Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 12 https://doi.org/10.1088/1751-8121/ab7498	journal	March 2020
Compiling quantum circuits to realistic hardware architectures using temporal planners Venturelli, Davide; Do, Minh; Rieffel, Eleanor Quantum Science and Technology, Vol. 3, Issue 2 https://doi.org/10.1088/2058-9565/aaa331	journal	February 2018
Experimental error mitigation via symmetry verification in a variational quantum eigensolver Sagastizabal, R.; Bonet-Monroig, X.; Singh, M. Physical Review A, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevA.100.010302	journal	July 2019
Application of Pontryagin's minimum principle to Grover's quantum search problem Lin, Chungwei; Wang, Yebin; Kolesov, Grigory Physical Review A, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevA.100.022327	journal	August 2019
Quantum-classical hybrid algorithm using an error-mitigating N -representability condition to compute the Mott metal-insulator transition Smart, Scott E.; Mazziotti, David A. Physical Review A, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevA.100.022517	journal	August 2019
Combining the synergistic control capabilities of modeling and experiments: Illustration of finding a minimum-time quantum objective Chen, Qi-Ming; Yang, Xiaodong; Arenz, Christian Physical Review A, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevA.101.032313	journal	March 2020
Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications Peirce, Anthony P.; Dahleh, Mohammed A.; Rabitz, Herschel Physical Review A, Vol. 37, Issue 12, p. 4950-4964 https://doi.org/10.1103/PhysRevA.37.4950	journal	June 1988
Relation between quantum computing and quantum controllability Ramakrishna, Viswanath; Rabitz, Herschel Physical Review A, Vol. 54, Issue 2 https://doi.org/10.1103/PhysRevA.54.1715	journal	August 1996
Time optimal control in spin systems Khaneja, Navin; Brockett, Roger; Glaser, Steffen J. Physical Review A, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevA.63.032308	journal	February 2001
Complete controllability of quantum systems Schirmer, S. G.; Fu, H.; Solomon, A. I. Physical Review A, Vol. 63, Issue 6 https://doi.org/10.1103/PhysRevA.63.063410	journal	May 2001
Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer Khaneja, Navin; Glaser, Steffen J.; Brockett, Roger Physical Review A, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevA.65.032301	journal	January 2002
Quantum control via encoded dynamical decoupling Viola, Lorenza Physical Review A, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevA.66.012307	journal	July 2002
Optimal control theory for unitary transformations Palao, José P.; Kosloff, Ronnie Physical Review A, Vol. 68, Issue 6 https://doi.org/10.1103/PhysRevA.68.062308	journal	December 2003
Observable-preserving control of quantum dynamics over a family of related systems Rothman, Adam; Ho, Tak-San; Rabitz, Herschel Physical Review A, Vol. 72, Issue 2 https://doi.org/10.1103/PhysRevA.72.023416	journal	August 2005
Exploring the level sets of quantum control landscapes Rothman, Adam; Ho, Tak-San; Rabitz, Herschel Physical Review A, Vol. 73, Issue 5 https://doi.org/10.1103/PhysRevA.73.053401	journal	May 2006
Optimal control, geometry, and quantum computing Nielsen, Michael A.; Dowling, Mark R.; Gu, Mile Physical Review A, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevA.73.062323	journal	June 2006
Topology of optimally controlled quantum mechanical transition probability landscapes Rabitz, H.; Ho, T. -S.; Hsieh, M. Physical Review A, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevA.74.012721	journal	July 2006
Optimum quantum error recovery using semidefinite programming Fletcher, Andrew S.; Shor, Peter W.; Win, Moe Z. Physical Review A, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevA.75.012338	journal	January 2007
Time-optimal unitary operations Carlini, Alberto; Hosoya, Akio; Koike, Tatsuhiko Physical Review A, Vol. 75, Issue 4 https://doi.org/10.1103/PhysRevA.75.042308	journal	April 2007
Optimal control landscape for the generation of unitary transformations Hsieh, Michael; Rabitz, Herschel Physical Review A, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevA.77.042306	journal	April 2008
Landscape of unitary transformations in controlled quantum dynamics Ho, Tak-San; Dominy, Jason; Rabitz, Herschel Physical Review A, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevA.79.013422	journal	January 2009
Local quantum control of Heisenberg spin chains Heule, Rahel; Bruder, C.; Burgarth, Daniel Physical Review A, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevA.82.052333	journal	November 2010
Exploring quantum control landscapes: Topology, features, and optimization scaling Moore, Katharine W.; Rabitz, Herschel Physical Review A, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevA.84.012109	journal	July 2011
Fast-kick-off monotonically convergent algorithm for searching optimal control fields Liao, Sheng-Lun; Ho, Tak-San; Chu, Shih-I Physical Review A, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevA.84.031401	journal	September 2011
Exploring the tradeoff between fidelity and time optimal control of quantum unitary transformations Moore Tibbetts, Katharine W.; Brif, Constantin; Grace, Matthew D. Physical Review A, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevA.86.062309	journal	December 2012
Robust control of quantum gates via sequential convex programming Kosut, Robert L.; Grace, Matthew D.; Brif, Constantin Physical Review A, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevA.88.052326	journal	November 2013
Searching for quantum optimal control fields in the presence of singular critical points Riviello, Gregory; Brif, Constantin; Long, Ruixing Physical Review A, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevA.90.013404	journal	July 2014
Geometric analysis of minimum-time trajectories for a two-level quantum system Romano, Raffaele Physical Review A, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevA.90.062302	journal	December 2014
Characterization of control noise effects in optimal quantum unitary dynamics Hocker, David; Brif, Constantin; Grace, Matthew D. Physical Review A, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevA.90.062309	journal	December 2014
Searching for quantum optimal controls under severe constraints Riviello, Gregory; Tibbetts, Katharine Moore; Brif, Constantin Physical Review A, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevA.91.043401	journal	April 2015
Universal control induced by noise Arenz, Christian; Burgarth, Daniel; Facchi, Paolo Physical Review A, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevA.93.062308	journal	June 2016
Fast and robust quantum control based on Pauli blocking Dowdall, Tom; Benseny, Albert; Busch, Thomas Physical Review A, Vol. 96, Issue 4 https://doi.org/10.1103/PhysRevA.96.043601	journal	October 2017
Quantum approximate optimization algorithm for MaxCut: A fermionic view Wang, Zhihui; Hadfield, Stuart; Jiang, Zhang Physical Review A, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevA.97.022304	journal	February 2018
Accelerated monotonic convergence of optimal control over quantum dynamics Ho, Tak-San; Rabitz, Herschel Physical Review E, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevE.82.026703	journal	August 2010
Robust Quantum Error Correction via Convex Optimization Kosut, Robert L.; Shabani, Alireza; Lidar, Daniel A. Physical Review Letters, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevLett.100.020502	journal	January 2008
High Fidelity Quantum Gates via Dynamical Decoupling West, Jacob R.; Lidar, Daniel A.; Fong, Bryan H. Physical Review Letters, Vol. 105, Issue 23 https://doi.org/10.1103/PhysRevLett.105.230503	journal	December 2010
Are there Traps in Quantum Control Landscapes? Pechen, Alexander N.; Tannor, David J. Physical Review Letters, Vol. 106, Issue 12 https://doi.org/10.1103/PhysRevLett.106.120402	journal	March 2011
Dynamical Recurrence and the Quantum Control of Coupled Oscillators Genoni, Marco G.; Serafini, Alessio; Kim, M. S. Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.150501	journal	April 2012
Comment on “Are There Traps in Quantum Control Landscapes?” Rabitz, Herschel; Ho, Tak-San; Long, Ruixing Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.198901	journal	May 2012
Pechen and Tannor Reply: Pechen, Alexander N.; Tannor, David J. Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.198902	journal	May 2012
Driving at the Quantum Speed Limit: Optimal Control of a Two-Level System Hegerfeldt, Gerhard C. Physical Review Letters, Vol. 111, Issue 26 https://doi.org/10.1103/PhysRevLett.111.260501	journal	December 2013
Adaptive Hybrid Optimal Quantum Control for Imprecisely Characterized Systems Egger, D. J.; Wilhelm, F. K. Physical Review Letters, Vol. 112, Issue 24 https://doi.org/10.1103/PhysRevLett.112.240503	journal	June 2014
Information Theoretical Analysis of Quantum Optimal Control Lloyd, S.; Montangero, S. Physical Review Letters, Vol. 113, Issue 1 https://doi.org/10.1103/PhysRevLett.113.010502	journal	July 2014
Simulating Hamiltonian Dynamics with a Truncated Taylor Series Berry, Dominic W.; Childs, Andrew M.; Cleve, Richard Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.090502	journal	March 2015
Quantum Brachistochrone Curves as Geodesics: Obtaining Accurate Minimum-Time Protocols for the Control of Quantum Systems Wang, Xiaoting; Allegra, Michele; Jacobs, Kurt Physical Review Letters, Vol. 114, Issue 17 https://doi.org/10.1103/PhysRevLett.114.170501	journal	April 2015
Optimal Hamiltonian Simulation by Quantum Signal Processing Low, Guang Hao; Chuang, Isaac L. Physical Review Letters, Vol. 118, Issue 1 https://doi.org/10.1103/PhysRevLett.118.010501	journal	January 2017
Hybrid Quantum-Classical Approach to Quantum Optimal Control Li, Jun; Yang, Xiaodong; Peng, Xinhua Physical Review Letters, Vol. 118, Issue 15 https://doi.org/10.1103/PhysRevLett.118.150503	journal	April 2017
Efficiently Controllable Graphs Gokler, Can; Lloyd, Seth; Shor, Peter Physical Review Letters, Vol. 118, Issue 26 https://doi.org/10.1103/PhysRevLett.118.260501	journal	June 2017
Controlling Qubit Networks in Polynomial Time Arenz, Christian; Rabitz, Herschel Physical Review Letters, Vol. 120, Issue 22 https://doi.org/10.1103/PhysRevLett.120.220503	journal	May 2018
Reachability Deficits in Quantum Approximate Optimization Akshay, V.; Philathong, H.; Morales, M. E. S. Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/PhysRevLett.124.090504	journal	March 2020
Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit Fogarty, Thomás; Deffner, Sebastian; Busch, Thomas Physical Review Letters, Vol. 124, Issue 11 https://doi.org/10.1103/PhysRevLett.124.110601	journal	March 2020
Teaching lasers to control molecules Judson, Richard S.; Rabitz, Herschel Physical Review Letters, Vol. 68, Issue 10, p. 1500-1503 https://doi.org/10.1103/PhysRevLett.68.1500	journal	March 1992
Iterative Optimization of Quantum Error Correcting Codes Reimpell, M.; Werner, R. F. Physical Review Letters, Vol. 94, Issue 8 https://doi.org/10.1103/PhysRevLett.94.080501	journal	March 2005
Time-Optimal Quantum Evolution Carlini, Alberto; Hosoya, Akio; Koike, Tatsuhiko Physical Review Letters, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevLett.96.060503	journal	February 2006
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
Optimizing Variational Quantum Algorithms Using Pontryagin’s Minimum Principle Yang, Zhi-Cheng; Rahmani, Armin; Shabani, Alireza Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevX.7.021027	journal	May 2017
Driven Quantum Dynamics: Will It Blend? Banchi, Leonardo; Burgarth, Daniel; Kastoryano, Michael J. Physical Review X, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevX.7.041015	journal	October 2017
Computation of Molecular Spectra on a Quantum Processor with an Error-Resilient Algorithm Colless, J. I.; Ramasesh, V. V.; Dahlen, D. Physical Review X, Vol. 8, Issue 1 https://doi.org/10.1103/PhysRevX.8.011021	journal	February 2018
Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator Hempel, Cornelius; Maier, Christine; Romero, Jonathan Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031022	journal	July 2018
Zero Forcing, Linear and Quantum Controllability for Systems Evolving on Networks Burgarth, Daniel; D'Alessandro, Domenico; Hogben, Leslie IEEE Transactions on Automatic Control, Vol. 58, Issue 9 https://doi.org/10.1109/TAC.2013.2250075	journal	September 2013
Channel-Optimized Quantum Error Correction Taghavi, Soraya; Kosut, Robert L.; Lidar, Daniel A. IEEE Transactions on Information Theory, Vol. 56, Issue 3 https://doi.org/10.1109/TIT.2009.2039162	journal	March 2010
Quantum Optimally Controlled Transition Landscapes Rabitz, H. A. Science, Vol. 303, Issue 5666 https://doi.org/10.1126/science.1093649	journal	March 2004
Quantum Computation as Geometry Nielsen, M. A. Science, Vol. 311, Issue 5764 https://doi.org/10.1126/science.1121541	journal	February 2006
Universal Quantum Simulators Lloyd, S. Science, Vol. 273, Issue 5278 https://doi.org/10.1126/science.273.5278.1073	journal	August 1996
Quantum advantage with shallow circuits Bravyi, Sergey; Gosset, David; König, Robert Science, Vol. 362, Issue 6412 https://doi.org/10.1126/science.aar3106	journal	October 2018
Hartree-Fock on a superconducting qubit quantum computer Arute, Frank; Arya, Kunal; Babbush, Ryan Science, Vol. 369, Issue 6507 https://doi.org/10.1126/science.abb9811	journal	August 2020
A dynamic systems approach to fermions and their relation to spins Zimborás, Zoltán; Zeier, Robert; Keyl, Michael EPJ Quantum Technology, Vol. 1, Issue 1 https://doi.org/10.1140/epjqt11	journal	September 2014
A Closer look at Quantum Control Landscapes and Their Implication for Control Optimization De Fouquieres, Pierre; Schirmer, Sophie G. Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 16, Issue 03 https://doi.org/10.1142/S0219025713500215	journal	September 2013
Introduction to Quantum Control and Dynamics D'Alessandro, Domenico https://doi.org/10.1201/9781584888833	book	August 2007
Krotov: A Python implementation of Krotov's method for quantum optimal control Goerz, Michael; Basilewitsch, Daniel; Gago-Encinas, Fernando SciPost Physics, Vol. 7, Issue 6 https://doi.org/10.21468/SciPostPhys.7.6.080	journal	January 2019
Quantum Computing in the NISQ era and beyond Preskill, John Quantum, Vol. 2 https://doi.org/10.22331/q-2018-08-06-79	journal	August 2018
Quantum-assisted quantum compiling Khatri, Sumeet; LaRose, Ryan; Poremba, Alexander Quantum, Vol. 3 https://doi.org/10.22331/q-2019-05-13-140	journal	May 2019
A non-review of Quantum Machine Learning: trends and explorations Dunjko, Vedran; Wittek, Peter Quantum Views, Vol. 4 https://doi.org/10.22331/qv-2020-03-17-32	journal	March 2020

Similar Records

From pulses to circuits and back again: A quantum control perspective on variational quantum algorithms.

Conference · Mon Feb 28 23:00:00 EST 2022 · OSTI ID:2001914

Unitary block optimization for variational quantum algorithms

Journal Article · Tue Apr 26 00:00:00 EDT 2022 · Physical Review Research · OSTI ID:1864883

Surrogate optimization of variational quantum circuits

Journal Article · Tue Sep 02 00:00:00 EDT 2025 · Proc.Nat.Acad.Sci. · OSTI ID:2349026

From Pulses to Circuits and Back Again: A Quantum Optimal Control Perspective on Variational Quantum Algorithms

Citation Formats

References (120)

Similar Records

Related Subjects