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

Title: Quantum memristors

Abstract

Technology based on memristors, resistors with memory whose resistance depends on the history of the crossing charges, has lately enhanced the classical paradigm of computation with neuromorphic architectures. However, in contrast to the known quantized models of passive circuit elements, such as inductors, capacitors or resistors, the design and realization of a quantum memristor is still missing. Here, we introduce the concept of a quantum memristor as a quantum dissipative device, whose decoherence mechanism is controlled by a continuous-measurement feedback scheme, which accounts for the memory. Indeed, we provide numerical simulations showing that memory effects actually persist in the quantum regime. Our quantization method, specifically designed for superconducting circuits, may be extended to other quantum platforms, allowing for memristor-type constructions in different quantum technologies. As a result, the proposed quantum memristor is then a building block for neuromorphic quantum computation and quantum simulations of non-Markovian systems.

Authors:
 [1];  [1];  [2];  [1];  [3]
  1. Univ. of the Basque Country UPV/EHU, Bilbao (Spain)
  2. Univ. of California, San Diego, La Jolla, CA (United States)
  3. Univ. of the Basque Country UPV/EHU, Bilbao (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain)
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1312950
Grant/Contract Number:  
FG02-05ER46204
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 6; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Pfeiffer, P., Egusquiza, I. L., Di Ventra, M., Sanz, M., and Solano, E. Quantum memristors. United States: N. p., 2016. Web. doi:10.1038/srep29507.
Pfeiffer, P., Egusquiza, I. L., Di Ventra, M., Sanz, M., & Solano, E. Quantum memristors. United States. doi:10.1038/srep29507.
Pfeiffer, P., Egusquiza, I. L., Di Ventra, M., Sanz, M., and Solano, E. Wed . "Quantum memristors". United States. doi:10.1038/srep29507. https://www.osti.gov/servlets/purl/1312950.
@article{osti_1312950,
title = {Quantum memristors},
author = {Pfeiffer, P. and Egusquiza, I. L. and Di Ventra, M. and Sanz, M. and Solano, E.},
abstractNote = {Technology based on memristors, resistors with memory whose resistance depends on the history of the crossing charges, has lately enhanced the classical paradigm of computation with neuromorphic architectures. However, in contrast to the known quantized models of passive circuit elements, such as inductors, capacitors or resistors, the design and realization of a quantum memristor is still missing. Here, we introduce the concept of a quantum memristor as a quantum dissipative device, whose decoherence mechanism is controlled by a continuous-measurement feedback scheme, which accounts for the memory. Indeed, we provide numerical simulations showing that memory effects actually persist in the quantum regime. Our quantization method, specifically designed for superconducting circuits, may be extended to other quantum platforms, allowing for memristor-type constructions in different quantum technologies. As a result, the proposed quantum memristor is then a building block for neuromorphic quantum computation and quantum simulations of non-Markovian systems.},
doi = {10.1038/srep29507},
journal = {Scientific Reports},
number = ,
volume = 6,
place = {United States},
year = {2016},
month = {7}
}

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

Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Memristor-The missing circuit element
journal, January 1971


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

Universal Memcomputing Machines
journal, November 2015

  • Traversa, Fabio Lorenzo; Di Ventra, Massimiliano
  • IEEE Transactions on Neural Networks and Learning Systems, Vol. 26, Issue 11
  • DOI: 10.1109/TNNLS.2015.2391182

Memcomputing NP -complete problems in polynomial time using polynomial resources and collective states
journal, July 2015

  • Traversa, Fabio Lorenzo; Ramella, Chiara; Bonani, Fabrizio
  • Science Advances, Vol. 1, Issue 6
  • DOI: 10.1126/sciadv.1500031

Memristive devices for computing
journal, January 2013

  • Yang, J. Joshua; Strukov, Dmitri B.; Stewart, Duncan R.
  • Nature Nanotechnology, Vol. 8, Issue 1, p. 13-24
  • DOI: 10.1038/nnano.2012.240

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


Digital quantum simulation of fermionic models with a superconducting circuit
journal, July 2015

  • Barends, R.; Lamata, L.; Kelly, J.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8654

Dynamical Casimir Effect Entangles Artificial Atoms
journal, August 2014


Superconducting quantum circuits at the surface code threshold for fault tolerance
journal, April 2014


Detecting bit-flip errors in a logical qubit using stabilizer measurements
journal, April 2015

  • Ristè, D.; Poletto, S.; Huang, M. -Z.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7983

Quantum network theory
journal, March 1984


Quantum tunnelling in a dissipative system
journal, September 1983


Qubit-Based Memcapacitors and Meminductors
journal, July 2016


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


A straightforward introduction to continuous quantum measurement
journal, September 2006


Superconducting Memristors
journal, September 2014


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

Fundamental Speed Limits to the Generation of Quantumness
journal, November 2016

  • Jing, Jun; Wu, Lian-Ao; del Campo, Adolfo
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep38149

    Works referencing / citing this record:

    Quantized Single-Ion-Channel Hodgkin-Huxley Model for Quantum Neurons
    journal, July 2019


    Quantized Single-Ion-Channel Hodgkin-Huxley Model for Quantum Neurons
    journal, July 2019