skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum Memristors in Frequency-Entangled Optical Fields

Abstract

A quantum memristor is a passive resistive circuit element with memory, engineered in a given quantum platform. It can be represented by a quantum system coupled to a dissipative environment, in which a system–bath coupling is mediated through a weak measurement scheme and classical feedback on the system. In quantum photonics, such a device can be designed from a beam splitter with tunable reflectivity, which is modified depending on the results of measurements in one of the outgoing beams. Here, we show that a similar implementation can be achieved with frequency-entangled optical fields and a frequency mixer that, working similarly to a beam splitter, produces state superpositions. We show that the characteristic hysteretic behavior of memristors can be reproduced when analyzing the response of the system with respect to the control, for different experimentally attainable states. Since memory effects in memristors can be exploited for classical and neuromorphic computation, the results presented in this work could be a building block for constructing quantum neural networks in quantum photonics, when scaling up.

Authors:
 [1]; ORCiD logo [2];  [3]; ORCiD logo [1]
  1. Univ. of the Basque Country, Donostia (Spain)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  3. Univ. of the Basque Country, Donostia (Spain); Federal Univ. of Goiás (Brazil)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1606049
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Materials
Additional Journal Information:
Journal Volume: 13; Journal Issue: 4; Journal ID: ISSN 1996-1944
Publisher:
MDPI
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; quantum memristors; memristive systems; quantum photonics; quantum neural networks

Citation Formats

Gonzalez-Raya, Tasio, Lukens, Joseph M., Céleri, Lucas C., and Sanz, Mikel. Quantum Memristors in Frequency-Entangled Optical Fields. United States: N. p., 2020. Web. https://doi.org/10.3390/ma13040864.
Gonzalez-Raya, Tasio, Lukens, Joseph M., Céleri, Lucas C., & Sanz, Mikel. Quantum Memristors in Frequency-Entangled Optical Fields. United States. https://doi.org/10.3390/ma13040864
Gonzalez-Raya, Tasio, Lukens, Joseph M., Céleri, Lucas C., and Sanz, Mikel. Sat . "Quantum Memristors in Frequency-Entangled Optical Fields". United States. https://doi.org/10.3390/ma13040864. https://www.osti.gov/servlets/purl/1606049.
@article{osti_1606049,
title = {Quantum Memristors in Frequency-Entangled Optical Fields},
author = {Gonzalez-Raya, Tasio and Lukens, Joseph M. and Céleri, Lucas C. and Sanz, Mikel},
abstractNote = {A quantum memristor is a passive resistive circuit element with memory, engineered in a given quantum platform. It can be represented by a quantum system coupled to a dissipative environment, in which a system–bath coupling is mediated through a weak measurement scheme and classical feedback on the system. In quantum photonics, such a device can be designed from a beam splitter with tunable reflectivity, which is modified depending on the results of measurements in one of the outgoing beams. Here, we show that a similar implementation can be achieved with frequency-entangled optical fields and a frequency mixer that, working similarly to a beam splitter, produces state superpositions. We show that the characteristic hysteretic behavior of memristors can be reproduced when analyzing the response of the system with respect to the control, for different experimentally attainable states. Since memory effects in memristors can be exploited for classical and neuromorphic computation, the results presented in this work could be a building block for constructing quantum neural networks in quantum photonics, when scaling up.},
doi = {10.3390/ma13040864},
journal = {Materials},
number = 4,
volume = 13,
place = {United States},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share:

Works referenced in this record:

The missing memristor found
journal, May 2008

  • Strukov, Dmitri B.; Snider, Gregory S.; Stewart, Duncan R.
  • Nature, Vol. 453, Issue 7191
  • DOI: 10.1038/nature06932

Analog simulator of integro-differential equations with classical memristors
journal, September 2019


Quantum mechanics versus macroscopic realism: Is the flux there when nobody looks?
journal, March 1985


An introduction to quantum machine learning
journal, October 2014


Frequency-domain Hong–Ou–Mandel interference
journal, April 2016


Frequency-encoded photonic qubits for scalable quantum information processing
journal, December 2016


Integrated lithium niobate electro-optic modulators operating at CMOS-compatible voltages
journal, September 2018


Dispersion Trimming in a Reconfigurable Wavelength Selective Switch
journal, January 2008

  • Roelens, M. A. F.; Frisken, S.; Bolger, J. A.
  • Journal of Lightwave Technology, Vol. 26, Issue 1
  • DOI: 10.1109/JLT.2007.912148

Quantum interference and correlation control of frequency-bin qubits
journal, January 2018


Operational Markov Condition for Quantum Processes
journal, January 2018


Invited Article: Quantum memristors in quantum photonics
journal, August 2018

  • Sanz, M.; Lamata, L.; Solano, E.
  • APL Photonics, Vol. 3, Issue 8
  • DOI: 10.1063/1.5036596

Quantum Memristors with Superconducting Circuits
journal, February 2017

  • Salmilehto, J.; Deppe, F.; Di Ventra, M.
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/srep42044

Quantum optical microcombs
journal, February 2019


Completely Positive Divisibility Does Not Mean Markovianity
journal, July 2019


The Quantum Point-Contact Memristor
journal, October 2012


Hodgkin–Huxley axon is made of Memristors
journal, March 2012

  • Chua, Leon; Sbitnev, Valery; Kim, Hyongsuk
  • International Journal of Bifurcation and Chaos, Vol. 22, Issue 03
  • DOI: 10.1142/S021812741230011X

Euler-Lagrange Equations of Networks with Higher-Order Elements
journal, June 2017


Quantum memristors
journal, July 2016

  • Pfeiffer, P.; Egusquiza, I. L.; Di Ventra, M.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep29507

Memristor-The missing circuit element
journal, January 1971


A quantitative description of membrane current and its application to conduction and excitation in nerve
journal, August 1952


Ramsey Interference with Single Photons
journal, November 2016


Perceptrons from memristors
journal, February 2020


One-Way Quantum Computing in the Optical Frequency Comb
journal, September 2008


Lagrange formalism of memory circuit elements: Classical and quantum formulations
journal, April 2012


On the physical properties of memristive, memcapacitive and meminductive systems
journal, May 2013


Reconfigurable radio-frequency arbitrary waveforms synthesized in a silicon photonic chip
journal, January 2015

  • Wang, Jian; Shen, Hao; Fan, Li
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms6957

Memristors for the Curious Outsiders
journal, December 2018


Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing
journal, January 2018


Memristors for Energy-Efficient New Computing Paradigms
journal, August 2016

  • Jeong, Doo Seok; Kim, Kyung Min; Kim, Sungho
  • Advanced Electronic Materials, Vol. 2, Issue 9
  • DOI: 10.1002/aelm.201600090

Quantum machine learning
journal, September 2017

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

Neuromorphic, Digital, and Quantum Computation With Memory Circuit Elements
journal, June 2012


Quantum Information Processing With Frequency-Comb Qudits
journal, December 2019

  • Lu, Hsuan-Hao; Weiner, Andrew M.; Lougovski, Pavel
  • IEEE Photonics Technology Letters, Vol. 31, Issue 23
  • DOI: 10.1109/LPT.2019.2942136

Port-Hamiltonian Formulation of Systems With Memory
journal, June 2012