Enhanced Quantum Synchronization via Quantum Machine Learning

Cárdenas‐López, Francisco A.; Sanz, Mikel; Retamal, Juan Carlos; Solano, Enrique

doi:10.1002/qute.201800076

Title: Enhanced Quantum Synchronization via Quantum Machine Learning

Journal Article · Mon Jan 07 00:00:00 EST 2019 · Advanced Quantum Technologies

DOI:https://doi.org/10.1002/qute.201800076· OSTI ID:1489888

Cárdenas‐López, Francisco A. ^[1];

^[2]; Retamal, Juan Carlos ^[1]; Solano, Enrique ^[3]

Departamento de Física Universidad de Santiago de Chile (USACH) Avenida Ecuador 3493 9170124 Santiago Chile, Center for the Development of Nanoscience and Nanotechnology Estación Central 9170124 Santiago Chile
Department of Physical Chemistry University of the Basque Country UPV/EHU Apartado 644 48080 Bilbao Spain
Department of Physical Chemistry University of the Basque Country UPV/EHU Apartado 644 48080 Bilbao Spain, IKERBASQUE, Basque Foundation for Science Maria Diaz de Haro 3 48013 Bilbao Spain, Department of Physics Shanghai University 200444 Shanghai China

Abstract The quantum synchronization between a pair of two‐level systems inside two coupled cavities is studied. By using a digital–analog decomposition of the master equation that rules the system dynamics, it is shown that this approach leads to quantum synchronization between both two‐level systems. Moreover, in this digital–analog block decomposition, the fundamental elements of a quantum machine learning protocol can be identified, in which the agent and the environment (learning units) interact through a mediating system, namely, the register. If the algorithm can be additionally equipped with a classical feedback mechanism, which consists of projective measurements in the register, reinitialization of the register state, and local conditional operations on the agent and environment subspace, a powerful and flexible quantum machine learning protocol emerges. Indeed, numerical simulations show that this protocol enhances the synchronization process, even when every subsystem experiences different loss/decoherence mechanisms, and gives the flexibility to choose the synchronization state. Finally, an implementation is proposed, based on current technologies in superconducting circuits.

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Sponsoring Organization:: USDOE

OSTI ID:: 1489888

Journal Information:: Advanced Quantum Technologies, Journal Name: Advanced Quantum Technologies Vol. 2 Journal Issue: 7-8; ISSN 2511-9044

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: Germany

Language:: English

References (59)

Superconducting quantum bits Clarke, John; Wilhelm, Frank K. Nature, Vol. 453, Issue 7198 https://doi.org/10.1038/nature07128	journal	June 2008
Genetic Algorithms for Digital Quantum Simulations Las Heras, U.; Alvarez-Rodriguez, U.; Solano, E. Physical Review Letters, Vol. 116, Issue 23 https://doi.org/10.1103/PhysRevLett.116.230504	journal	June 2016
Supervised Quantum Learning without Measurements Alvarez-Rodriguez, Unai; Lamata, Lucas; Escandell-Montero, Pablo Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-13378-0	journal	October 2017
Approximate Quantum Adders with Genetic Algorithms: An IBM Quantum Experience Li, Rui; Alvarez-Rodriguez, Unai; Lamata, Lucas Quantum Measurements and Quantum Metrology, Vol. 4, Issue 1 https://doi.org/10.1515/qmetro-2017-0001	journal	July 2017
Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits Barends, R.; Kelly, J.; Megrant, A. Physical Review Letters, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevLett.111.080502	journal	August 2013
Quantum Stochastic Synchronization Goychuk, Igor; Casado-Pascual, Jesús; Morillo, Manuel Physical Review Letters, Vol. 97, Issue 21 https://doi.org/10.1103/PhysRevLett.97.210601	journal	November 2006
Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator Zhirov, O. V.; Shepelyansky, D. L. Physical Review B, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevB.80.014519	journal	July 2009
Spin correlations as a probe of quantum synchronization in trapped-ion phonon lasers Hush, Michael R.; Li, Weibin; Genway, Sam Physical Review A, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevA.91.061401	journal	June 2015
Experimental Realization of a Quantum Support Vector Machine Li, Zhaokai; Liu, Xiaomei; Xu, Nanyang Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.140504	journal	April 2015
Quantum-Enhanced Machine Learning Dunjko, Vedran; Taylor, Jacob M.; Briegel, Hans J. Physical Review Letters, Vol. 117, Issue 13 https://doi.org/10.1103/PhysRevLett.117.130501	journal	September 2016
Quantum autoencoders via quantum adders with genetic algorithms Lamata, L.; Alvarez-Rodriguez, U.; Martín-Guerrero, J. D. Quantum Science and Technology, Vol. 4, Issue 1 https://doi.org/10.1088/2058-9565/aae22b	journal	October 2018
Synchronization and Bistability of a Qubit Coupled to a Driven Dissipative Oscillator Zhirov, O. V.; Shepelyansky, D. L. Physical Review Letters, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevLett.100.014101	journal	January 2008
Quantum Reinforcement Learning IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), Vol. 38, Issue 5 https://doi.org/10.1109/TSMCB.2008.925743	journal	October 2008
Qubit Architecture with High Coherence and Fast Tunable Coupling Chen, Yu; Neill, C.; Roushan, P. Physical Review Letters, Vol. 113, Issue 22 https://doi.org/10.1103/PhysRevLett.113.220502	journal	November 2014
Distributed entanglement Coffman, Valerie; Kundu, Joydip; Wootters, William K. Physical Review A, Vol. 61, Issue 5 https://doi.org/10.1103/PhysRevA.61.052306	journal	April 2000
Mutual information as an order parameter for quantum synchronization Ameri, V.; Eghbali-Arani, M.; Mari, A. Physical Review A, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevA.91.012301	journal	January 2015
Response of the Strongly Driven Jaynes-Cummings Oscillator Bishop, Lev S.; Ginossar, Eran; Girvin, S. M. Physical Review Letters, Vol. 105, Issue 10 https://doi.org/10.1103/PhysRevLett.105.100505	journal	September 2010
Quantum correlations and mutual synchronization Giorgi, Gian Luca; Galve, Fernando; Manzano, Gonzalo Physical Review A, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevA.85.052101	journal	May 2012
Synchronization Transitions in a Disordered Josephson Series Array Wiesenfeld, Kurt; Colet, Pere; Strogatz, Steven H. Physical Review Letters, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevLett.76.404	journal	January 1996
Synchronization, quantum correlations and entanglement in oscillator networks Manzano, Gonzalo; Galve, Fernando; Giorgi, Gian Luca Scientific Reports, Vol. 3, Issue 1 https://doi.org/10.1038/srep01439	journal	March 2013
Basic protocols in quantum reinforcement learning with superconducting circuits Lamata, Lucas Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-01711-6	journal	May 2017
Learning an unknown transformation via a genetic approach Spagnolo, Nicolò; Maiorino, Enrico; Vitelli, Chiara Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-14680-7	journal	October 2017
Monogamy of quantum discord by multipartite correlations Braga, H. C.; Rulli, C. C.; de Oliveira, Thiago R. Physical Review A, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevA.86.062106	journal	December 2012
Laser cooling of a nanomechanical oscillator into its quantum ground state Chan, Jasper; Alegre, T. P. Mayer; Safavi-Naeini, Amir H. Nature, Vol. 478, Issue 7367 https://doi.org/10.1038/nature10461	journal	October 2011
Spontaneous synchronization and quantum correlation dynamics of open spin systems Giorgi, G. L.; Plastina, F.; Francica, G. Physical Review A, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevA.88.042115	journal	October 2013
Feedback Control of a Solid-State Qubit Using High-Fidelity Projective Measurement Ristè, D.; Bultink, C. C.; Lehnert, K. W. Physical Review Letters, Vol. 109, Issue 24 https://doi.org/10.1103/PhysRevLett.109.240502	journal	December 2012
Approaching the Quantum Limit of a Nanomechanical Resonator LaHaye, M. D. Science, Vol. 304, Issue 5667 https://doi.org/10.1126/science.1094419	journal	April 2004
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
Dynamics, synchronization, and quantum phase transitions of two dissipative spins Orth, Peter P.; Roosen, David; Hofstetter, Walter Physical Review B, Vol. 82, Issue 14 https://doi.org/10.1103/PhysRevB.82.144423	journal	October 2010
Entanglement-Based Machine Learning on a Quantum Computer Cai, X. -D.; Wu, D.; Su, Z. -E. Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.110504	journal	March 2015
Quantum synchronization as a local signature of super- and subradiance Bellomo, B.; Giorgi, G. L.; Palma, G. M. Physical Review A, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevA.95.043807	journal	April 2017
Quantum-information processing with circuit quantum electrodynamics Blais, Alexandre; Gambetta, Jay; Wallraff, A. Physical Review A, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevA.75.032329	journal	March 2007
Solving the quantum many-body problem with artificial neural networks Carleo, Giuseppe; Troyer, Matthias Science, Vol. 355, Issue 6325 https://doi.org/10.1126/science.aag2302	journal	February 2017
Machine learning phases of matter Carrasquilla, Juan; Melko, Roger G. Nature Physics, Vol. 13, Issue 5 https://doi.org/10.1038/nphys4035	journal	February 2017
Cavity optomechanics Aspelmeyer, Markus; Kippenberg, Tobias J.; Marquardt, Florian Reviews of Modern Physics, Vol. 86, Issue 4 https://doi.org/10.1103/RevModPhys.86.1391	journal	December 2014
Dynamical Casimir Effect Entangles Artificial Atoms Felicetti, S.; Sanz, M.; Lamata, L. Physical Review Letters, Vol. 113, Issue 9 https://doi.org/10.1103/PhysRevLett.113.093602	journal	August 2014
Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics Rossatto, D. Z.; Felicetti, S.; Eneriz, H. Physical Review B, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevB.93.094514	journal	March 2016
Quantum dynamics of single trapped ions Leibfried, D.; Blatt, R.; Monroe, C. Reviews of Modern Physics, Vol. 75, Issue 1 https://doi.org/10.1103/RevModPhys.75.281	journal	March 2003
Phase Synchronization of Two Anharmonic Nanomechanical Oscillators Matheny, Matthew H.; Grau, Matt; Villanueva, Luis G. Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.014101	journal	January 2014
Quantum Speedup for Active Learning Agents Paparo, Giuseppe Davide; Dunjko, Vedran; Makmal, Adi Physical Review X, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevX.4.031002	journal	July 2014
Superconducting qubit in a waveguide cavity with a coherence time approaching 0.1 ms Rigetti, Chad; Gambetta, Jay M.; Poletto, Stefano Physical Review B, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevB.86.100506	journal	September 2012
Synchronized activities of coupled oscillators in the cerebral cortex and thalamus at different levels of vigilance [published erratum appears in Cereb Cortex 1997 Dec;7(8):779] Steriade, M. Cerebral Cortex, Vol. 7, Issue 6 https://doi.org/10.1093/cercor/7.6.583	journal	September 1997
An introduction to quantum machine learning Schuld, Maria; Sinayskiy, Ilya; Petruccione, Francesco Contemporary Physics, Vol. 56, Issue 2 https://doi.org/10.1080/00107514.2014.964942	journal	October 2014
Synchronization of Cellular Clocks in the Suprachiasmatic Nucleus Yamaguchi, Shun; Isejima, Hiromi; Matsuo, Takuya Science, Vol. 302, Issue 5649 https://doi.org/10.1126/science.1089287	journal	November 2003
Self-Organized Synchronization in Decentralized Power Grids Rohden, Martin; Sorge, Andreas; Timme, Marc Physical Review Letters, Vol. 109, Issue 6 https://doi.org/10.1103/PhysRevLett.109.064101	journal	August 2012
Quantum speed-up for unsupervised learning Aïmeur, Esma; Brassard, Gilles; Gambs, Sébastien Machine Learning, Vol. 90, Issue 2 https://doi.org/10.1007/s10994-012-5316-5	journal	August 2012
Active learning machine learns to create new quantum experiments Melnikov, Alexey A.; Poulsen Nautrup, Hendrik; Krenn, Mario Proceedings of the National Academy of Sciences, Vol. 115, Issue 6 https://doi.org/10.1073/pnas.1714936115	journal	January 2018
Quantum computing with trapped ions Haffner, H.; Roos, C.; Blatt, R. Physics Reports, Vol. 469, Issue 4 https://doi.org/10.1016/j.physrep.2008.09.003	journal	December 2008
Quantum Support Vector Machine for Big Data Classification Rebentrost, Patrick; Mohseni, Masoud; Lloyd, Seth Physical Review Letters, Vol. 113, Issue 13 https://doi.org/10.1103/PhysRevLett.113.130503	journal	September 2014
Single-qubit quantum memory exceeding ten-minute coherence time Wang, Ye; Um, Mark; Zhang, Junhua Nature Photonics, Vol. 11, Issue 10 https://doi.org/10.1038/s41566-017-0007-1	journal	September 2017
Tunable coupling of transmission-line microwave resonators mediated by an rf SQUID Wulschner, Friedrich; Goetz, Jan; Koessel, Fabian R. EPJ Quantum Technology, Vol. 3, Issue 1 https://doi.org/10.1140/epjqt/s40507-016-0048-2	journal	July 2016
Entanglement tongue and quantum synchronization of disordered oscillators Lee, Tony E.; Chan, Ching-Kit; Wang, Shenshen Physical Review E, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevE.89.022913	journal	February 2014
Charge-insensitive qubit design derived from the Cooper pair box Koch, Jens; Yu, Terri M.; Gambetta, Jay Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.042319	journal	October 2007
Searching for exotic particles in high-energy physics with deep learning Baldi, P.; Sadowski, P.; Whiteson, D. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5308	journal	July 2014
Quantum computational finance: Monte Carlo pricing of financial derivatives Rebentrost, Patrick; Gupt, Brajesh; Bromley, Thomas R. Physical Review A, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevA.98.022321	journal	August 2018
Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries Dodd, Jennifer L.; Nielsen, Michael A.; Bremner, Michael J. Physical Review A, Vol. 65, Issue 4 https://doi.org/10.1103/PhysRevA.65.040301	journal	April 2002
Quantum information processing with superconducting circuits: a review Wendin, G. Reports on Progress in Physics, Vol. 80, Issue 10 https://doi.org/10.1088/1361-6633/aa7e1a	journal	September 2017
Quantum machine learning Biamonte, Jacob; Wittek, Peter; Pancotti, Nicola Nature, Vol. 549, Issue 7671 https://doi.org/10.1038/nature23474	journal	September 2017
Neural-network quantum state tomography Torlai, Giacomo; Mazzola, Guglielmo; Carrasquilla, Juan Nature Physics, Vol. 14, Issue 5 https://doi.org/10.1038/s41567-018-0048-5	journal	February 2018

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