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Title: Enhanced Quantum Synchronization via Quantum Machine Learning

Abstract

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.

Authors:
 [1]; ORCiD logo [2];  [1];  [3]
  1. 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
  2. Department of Physical Chemistry University of the Basque Country UPV/EHU Apartado 644 48080 Bilbao Spain
  3. 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
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1489888
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Advanced Quantum Technologies
Additional Journal Information:
Journal Name: Advanced Quantum Technologies Journal Volume: 2 Journal Issue: 7-8; Journal ID: ISSN 2511-9044
Publisher:
Wiley Blackwell (John Wiley & Sons)
Country of Publication:
Germany
Language:
English

Citation Formats

Cárdenas‐López, Francisco A., Sanz, Mikel, Retamal, Juan Carlos, and Solano, Enrique. Enhanced Quantum Synchronization via Quantum Machine Learning. Germany: N. p., 2019. Web. doi:10.1002/qute.201800076.
Cárdenas‐López, Francisco A., Sanz, Mikel, Retamal, Juan Carlos, & Solano, Enrique. Enhanced Quantum Synchronization via Quantum Machine Learning. Germany. https://doi.org/10.1002/qute.201800076
Cárdenas‐López, Francisco A., Sanz, Mikel, Retamal, Juan Carlos, and Solano, Enrique. Mon . "Enhanced Quantum Synchronization via Quantum Machine Learning". Germany. https://doi.org/10.1002/qute.201800076.
@article{osti_1489888,
title = {Enhanced Quantum Synchronization via Quantum Machine Learning},
author = {Cárdenas‐López, Francisco A. and Sanz, Mikel and Retamal, Juan Carlos and Solano, Enrique},
abstractNote = {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.},
doi = {10.1002/qute.201800076},
journal = {Advanced Quantum Technologies},
number = 7-8,
volume = 2,
place = {Germany},
year = {Mon Jan 07 00:00:00 EST 2019},
month = {Mon Jan 07 00:00:00 EST 2019}
}

Works referenced in this record:

Superconducting quantum bits
journal, June 2008


Genetic Algorithms for Digital Quantum Simulations
journal, June 2016


Supervised Quantum Learning without Measurements
journal, October 2017

  • Alvarez-Rodriguez, Unai; Lamata, Lucas; Escandell-Montero, Pablo
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/s41598-017-13378-0

Approximate Quantum Adders with Genetic Algorithms: An IBM Quantum Experience
journal, July 2017

  • Li, Rui; Alvarez-Rodriguez, Unai; Lamata, Lucas
  • Quantum Measurements and Quantum Metrology, Vol. 4, Issue 1
  • DOI: 10.1515/qmetro-2017-0001

Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits
journal, August 2013


Quantum Stochastic Synchronization
journal, November 2006


Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator
journal, July 2009


Spin correlations as a probe of quantum synchronization in trapped-ion phonon lasers
journal, June 2015


Experimental Realization of a Quantum Support Vector Machine
journal, April 2015


Quantum-Enhanced Machine Learning
journal, September 2016


Quantum autoencoders via quantum adders with genetic algorithms
journal, October 2018

  • Lamata, L.; Alvarez-Rodriguez, U.; Martín-Guerrero, J. D.
  • Quantum Science and Technology, Vol. 4, Issue 1
  • DOI: 10.1088/2058-9565/aae22b

Synchronization and Bistability of a Qubit Coupled to a Driven Dissipative Oscillator
journal, January 2008


Quantum Reinforcement Learning
journal, October 2008

  • Daoyi Dong,
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), Vol. 38, Issue 5
  • DOI: 10.1109/TSMCB.2008.925743

Qubit Architecture with High Coherence and Fast Tunable Coupling
journal, November 2014


Distributed entanglement
journal, April 2000


Mutual information as an order parameter for quantum synchronization
journal, January 2015


Response of the Strongly Driven Jaynes-Cummings Oscillator
journal, September 2010


Quantum correlations and mutual synchronization
journal, May 2012


Synchronization Transitions in a Disordered Josephson Series Array
journal, January 1996


Synchronization, quantum correlations and entanglement in oscillator networks
journal, March 2013

  • Manzano, Gonzalo; Galve, Fernando; Giorgi, Gian Luca
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep01439

Basic protocols in quantum reinforcement learning with superconducting circuits
journal, May 2017


Learning an unknown transformation via a genetic approach
journal, October 2017


Monogamy of quantum discord by multipartite correlations
journal, December 2012


Laser cooling of a nanomechanical oscillator into its quantum ground state
journal, October 2011

  • Chan, Jasper; Alegre, T. P. Mayer; Safavi-Naeini, Amir H.
  • Nature, Vol. 478, Issue 7367
  • DOI: 10.1038/nature10461

Spontaneous synchronization and quantum correlation dynamics of open spin systems
journal, October 2013


Feedback Control of a Solid-State Qubit Using High-Fidelity Projective Measurement
journal, December 2012


Approaching the Quantum Limit of a Nanomechanical Resonator
journal, April 2004


Digitized adiabatic quantum computing with a superconducting circuit
journal, June 2016


Dynamics, synchronization, and quantum phase transitions of two dissipative spins
journal, October 2010


Entanglement-Based Machine Learning on a Quantum Computer
journal, March 2015


Quantum synchronization as a local signature of super- and subradiance
journal, April 2017


Quantum-information processing with circuit quantum electrodynamics
journal, March 2007


Solving the quantum many-body problem with artificial neural networks
journal, February 2017


Machine learning phases of matter
journal, February 2017

  • Carrasquilla, Juan; Melko, Roger G.
  • Nature Physics, Vol. 13, Issue 5
  • DOI: 10.1038/nphys4035

Cavity optomechanics
journal, December 2014

  • Aspelmeyer, Markus; Kippenberg, Tobias J.; Marquardt, Florian
  • Reviews of Modern Physics, Vol. 86, Issue 4
  • DOI: 10.1103/RevModPhys.86.1391

Dynamical Casimir Effect Entangles Artificial Atoms
journal, August 2014


Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics
journal, March 2016


Quantum dynamics of single trapped ions
journal, March 2003


Phase Synchronization of Two Anharmonic Nanomechanical Oscillators
journal, January 2014


Quantum Speedup for Active Learning Agents
journal, July 2014


Superconducting qubit in a waveguide cavity with a coherence time approaching 0.1 ms
journal, September 2012


An introduction to quantum machine learning
journal, October 2014


Synchronization of Cellular Clocks in the Suprachiasmatic Nucleus
journal, November 2003


Self-Organized Synchronization in Decentralized Power Grids
journal, August 2012


Quantum speed-up for unsupervised learning
journal, August 2012


Active learning machine learns to create new quantum experiments
journal, January 2018

  • Melnikov, Alexey A.; Poulsen Nautrup, Hendrik; Krenn, Mario
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 6
  • DOI: 10.1073/pnas.1714936115

Quantum computing with trapped ions
journal, December 2008


Quantum Support Vector Machine for Big Data Classification
journal, September 2014


Single-qubit quantum memory exceeding ten-minute coherence time
journal, September 2017


Tunable coupling of transmission-line microwave resonators mediated by an rf SQUID
journal, July 2016


Entanglement tongue and quantum synchronization of disordered oscillators
journal, February 2014


Charge-insensitive qubit design derived from the Cooper pair box
journal, October 2007


Searching for exotic particles in high-energy physics with deep learning
journal, July 2014

  • Baldi, P.; Sadowski, P.; Whiteson, D.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5308

Quantum computational finance: Monte Carlo pricing of financial derivatives
journal, August 2018


Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
journal, April 2002


Quantum information processing with superconducting circuits: a review
journal, September 2017


Quantum machine learning
journal, September 2017

  • Biamonte, Jacob; Wittek, Peter; Pancotti, Nicola
  • Nature, Vol. 549, Issue 7671
  • DOI: 10.1038/nature23474

Neural-network quantum state tomography
journal, February 2018