Variational quantum algorithms to estimate rank, quantum entropies, fidelity, and Fisher information via purity minimization

Tan, Kok Chuan; Volkoff, Tyler

doi:10.1103/PhysRevResearch.3.033251

Title: Variational quantum algorithms to estimate rank, quantum entropies, fidelity, and Fisher information via purity minimization

Journal Article · 15 September 2021 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.3.033251 · OSTI ID:1820499

Tan, Kok Chuan;

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Sponsoring Organization:: USDOE

OSTI ID:: 1820499

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 3 Vol. 3; ISSN 2643-1564; ISSN PPRHAI

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (26)

Possible generalization of Boltzmann-Gibbs statistics Tsallis, Constantino Journal of Statistical Physics, Vol. 52, Issue 1-2 https://doi.org/10.1007/BF01016429	journal	July 1988
Efficient Trainability of Linear Optical Modules in Quantum Optical Neural Networks Volkoff, Tyler J. Journal of Russian Laser Research, Vol. 42, Issue 3 https://doi.org/10.1007/s10946-021-09958-1	journal	April 2021
Geometry of quantum phase transitions Carollo, Angelo; Valenti, Davide; Spagnolo, Bernardo Physics Reports, Vol. 838 https://doi.org/10.1016/j.physrep.2019.11.002	journal	January 2020
The Theory of Quantum Information Watrous, John https://doi.org/10.1017/9781316848142	book	May 2018
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
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
Cost function dependent barren plateaus in shallow parametrized quantum circuits Cerezo, M.; Sone, Akira; Volkoff, Tyler Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-21728-w	journal	March 2021
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
On quantum Rényi entropies: A new generalization and some properties Müller-Lennert, Martin; Dupuis, Frédéric; Szehr, Oleg Journal of Mathematical Physics, Vol. 54, Issue 12 https://doi.org/10.1063/1.4838856	journal	December 2013
Maximal coherence and the resource theory of purity Streltsov, Alexander; Kampermann, Hermann; Wölk, Sabine New Journal of Physics, Vol. 20, Issue 5 https://doi.org/10.1088/1367-2630/aac484	journal	May 2018
Entanglement spectroscopy with a depth-two quantum circuit Subaşı, Yiğit; Cincio, Lukasz; Coles, Patrick J. Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 4 https://doi.org/10.1088/1751-8121/aaf54d	journal	January 2019
Large gradients via correlation in random parameterized quantum circuits Volkoff, Tyler; Coles, Patrick J. Quantum Science and Technology, Vol. 6, Issue 2 https://doi.org/10.1088/2058-9565/abd891	journal	January 2021
Identifying quantum phase transitions via geometric measures of nonclassicality Tan, Kok Chuan Physical Review A, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevA.102.022421	journal	August 2020
Reversible transformations from pure to mixed states and the unique measure of information Horodecki, Michał; Horodecki, Paweł; Oppenheim, Jonathan Physical Review A, Vol. 67, Issue 6 https://doi.org/10.1103/PhysRevA.67.062104	journal	June 2003
Fisher information and multiparticle entanglement Hyllus, Philipp; Laskowski, Wiesław; Krischek, Roland Physical Review A, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevA.85.022321	journal	February 2012
Coherence, quantum Fisher information, superradiance, and entanglement as interconvertible resources Tan, Kok Chuan; Choi, Seongjeon; Kwon, Hyukjoon Physical Review A, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevA.97.052304	journal	May 2018
Learning unknown pure quantum states Lee, Sang Min; Lee, Jinhyoung; Bang, Jeongho Physical Review A, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevA.98.052302	journal	November 2018
Entanglement spectroscopy on a quantum computer Johri, Sonika; Steiger, Damian S.; Troyer, Matthias Physical Review B, Vol. 96, Issue 19 https://doi.org/10.1103/PhysRevB.96.195136	journal	November 2017
Nonclassicality as a Quantifiable Resource for Quantum Metrology Kwon, Hyukjoon; Tan, Kok Chuan; Volkoff, Tyler Physical Review Letters, Vol. 122, Issue 4 https://doi.org/10.1103/PhysRevLett.122.040503	journal	February 2019
Quantum Fingerprinting Buhrman, Harry; Cleve, Richard; Watrous, John Physical Review Letters, Vol. 87, Issue 16 https://doi.org/10.1103/PhysRevLett.87.167902	journal	September 2001
Subspace-search variational quantum eigensolver for excited states Nakanishi, Ken M.; Mitarai, Kosuke; Fujii, Keisuke Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/PhysRevResearch.1.033062	journal	October 2019
Nonclassical light and metrological power: An introductory review Tan, Kok Chuan; Jeong, Hyunseok AVS Quantum Science, Vol. 1, Issue 1 https://doi.org/10.1116/1.5126696	journal	December 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
Variational Quantum Fidelity Estimation Cerezo, Marco; Poremba, Alexander; Cincio, Lukasz Quantum, Vol. 4 https://doi.org/10.22331/q-2020-03-26-248	journal	March 2020
Hybrid Quantum-Classical Algorithms and Quantum Error Mitigation Endo, Suguru; Cai, Zhenyu; Benjamin, Simon C. Journal of the Physical Society of Japan, Vol. 90, Issue 3 https://doi.org/10.7566/JPSJ.90.032001	journal	March 2021

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