Quantum Memristors with Superconducting Circuits
Abstract
Memristors are resistive elements retaining information of their past dynamics. They have garnered substantial interest due to their potential for representing a paradigm change in electronics, information processing and unconventional computing. Given the advent of quantum technologies, a design for a quantum memristor with superconducting circuits may be envisaged. Along these lines, we introduce such a quantum device whose memristive behavior arises from quasiparticle-induced tunneling when supercurrents are cancelled. Here in this paper, for realistic parameters, we find that the relevant hysteretic behavior may be observed using current state-of-the-art measurements of the phase-driven tunneling current. Finally, we develop suitable methods to quantify memory retention in the system.
- Authors:
-
- Yale Univ., New Haven, CT (United States). Dept. of Physics; Univ. of the Basque Country, Donostia (Spain). Dept. of Physical Chemistry; Aalto Univ., Otaniemi (Finland). QCD Labs, COMP Centre of Excellence, Dept. of Applied Physics
- Bavarian Academy of Sciences and Humanities, Garching (Germany). Walther-MeiBner-Inst.; Technische Univ. Munich (Germany). Physics Dept.; Nanosystems Initiative Munich (NIM), Munich (Germany)
- Univ. of California, San Diego, CA (United States). Dept. of Physics
- Univ. of the Basque Country, Donostia (Spain). Dept. of Physical Chemistry
- Univ. of the Basque Country, Donostia (Spain). Dept. of Physical Chemistry; Ikerbasque, Basque Foundation for Science, Bilbao (Spain)
- Publication Date:
- Research Org.:
- Univ. of California, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE; Finnish Cultural Foundation; Basque Government; European Union (EU)
- OSTI Identifier:
- 1362034
- Grant/Contract Number:
- FG02-05ER46204; IT986-16; IS2015-69983-P
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Scientific Reports
- Additional Journal Information:
- Journal Volume: 7; Journal ID: ISSN 2045-2322
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; Quantum information; Superconducting devices
Citation Formats
Salmilehto, J., Deppe, F., Di Ventra, M., Sanz, M., and Solano, E. Quantum Memristors with Superconducting Circuits. United States: N. p., 2017.
Web. doi:10.1038/srep42044.
Salmilehto, J., Deppe, F., Di Ventra, M., Sanz, M., & Solano, E. Quantum Memristors with Superconducting Circuits. United States. https://doi.org/10.1038/srep42044
Salmilehto, J., Deppe, F., Di Ventra, M., Sanz, M., and Solano, E. Tue .
"Quantum Memristors with Superconducting Circuits". United States. https://doi.org/10.1038/srep42044. https://www.osti.gov/servlets/purl/1362034.
@article{osti_1362034,
title = {Quantum Memristors with Superconducting Circuits},
author = {Salmilehto, J. and Deppe, F. and Di Ventra, M. and Sanz, M. and Solano, E.},
abstractNote = {Memristors are resistive elements retaining information of their past dynamics. They have garnered substantial interest due to their potential for representing a paradigm change in electronics, information processing and unconventional computing. Given the advent of quantum technologies, a design for a quantum memristor with superconducting circuits may be envisaged. Along these lines, we introduce such a quantum device whose memristive behavior arises from quasiparticle-induced tunneling when supercurrents are cancelled. Here in this paper, for realistic parameters, we find that the relevant hysteretic behavior may be observed using current state-of-the-art measurements of the phase-driven tunneling current. Finally, we develop suitable methods to quantify memory retention in the system.},
doi = {10.1038/srep42044},
journal = {Scientific Reports},
number = ,
volume = 7,
place = {United States},
year = {Tue Feb 14 00:00:00 EST 2017},
month = {Tue Feb 14 00:00:00 EST 2017}
}
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Works referenced in this record:
Memristive devices and systems
journal, January 1976
- Chua, L. O.
- Proceedings of the IEEE, Vol. 64, Issue 2
Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors
journal, October 2009
- Di Ventra, Massimiliano; Pershin, Yuriy V.; Chua, Leon O.
- Proceedings of the IEEE, Vol. 97, Issue 10
On the physical properties of memristive, memcapacitive and meminductive systems
journal, May 2013
- Di Ventra, Massimiliano; Pershin, Yuriy V.
- Nanotechnology, Vol. 24, Issue 25
Universal Memcomputing Machines
journal, November 2015
- Traversa, Fabio Lorenzo; Di Ventra, Massimiliano
- IEEE Transactions on Neural Networks and Learning Systems, Vol. 26, Issue 11
Memristor-The missing circuit element
journal, January 1971
- Chua, L.
- IEEE Transactions on Circuit Theory, Vol. 18, Issue 5
The missing memristor found
journal, May 2008
- Strukov, Dmitri B.; Snider, Gregory S.; Stewart, Duncan R.
- Nature, Vol. 453, Issue 7191
The elusive memristor: properties of basic electrical circuits
journal, May 2009
- Joglekar, Yogesh N.; Wolf, Stephen J.
- European Journal of Physics, Vol. 30, Issue 4
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
Nonlinear circuit foundations for nanodevices, part I: the four-element torus
journal, November 2003
- Chua, L. O.
- Proceedings of the IEEE, Vol. 9, Issue 11
Memory effects in complex materials and nanoscale systems
journal, April 2011
- Pershin, Yuriy V.; Di Ventra, Massimiliano
- Advances in Physics, Vol. 60, Issue 2
Quantum memristors
journal, July 2016
- Pfeiffer, P.; Egusquiza, I. L.; Di Ventra, M.
- Scientific Reports, Vol. 6, Issue 1
Superconducting Memristors
journal, September 2014
- Peotta, Sebastiano; Di Ventra, Massimiliano
- Physical Review Applied, Vol. 2, Issue 3
Coherent suppression of electromagnetic dissipation due to superconducting quasiparticles
journal, April 2014
- Pop, Ioan M.; Geerlings, Kurtis; Catelani, Gianluigi
- Nature, Vol. 508, Issue 7496
Relaxation and frequency shifts induced by quasiparticles in superconducting qubits
journal, August 2011
- Catelani, G.; Schoelkopf, R. J.; Devoret, M. H.
- Physical Review B, Vol. 84, Issue 6
Decoherence of superconducting qubits caused by quasiparticle tunneling
journal, November 2012
- Catelani, G.; Nigg, S. E.; Girvin, S. M.
- Physical Review B, Vol. 86, Issue 18
Observation of Time-Domain Rabi Oscillations in the Landau-Zener Regime with a Single Electronic Spin
journal, January 2014
- Zhou, Jingwei; Huang, Pu; Zhang, Qi
- Physical Review Letters, Vol. 112, Issue 1
Physical interpretation of the cos ϕ term and implications for detectors
journal, January 1974
- Langenberg, D. N.
- Revue de Physique Appliquée, Vol. 9, Issue 1
Cosine and other terms in the Josephson tunneling current
journal, July 1974
- Harris, Richard E.
- Physical Review B, Vol. 10, Issue 1
Markovianity and non-Markovianity in quantum and classical systems
journal, September 2011
- Vacchini, Bassano; Smirne, Andrea; Laine, Elsi-Mari
- New Journal of Physics, Vol. 13, Issue 9
Suppression of the critical current of a balanced superconducting quantum interference device
journal, February 2008
- Kemppinen, Antti; Manninen, Antti J.; Möttönen, Mikko
- Applied Physics Letters, Vol. 92, Issue 5
A Quantum Version of Wielandt's Inequality
journal, September 2010
- Sanz, Mikel; Perez-Garcia, David; Wolf, Michael M.
- IEEE Transactions on Information Theory, Vol. 56, Issue 9
A quantum version of Wielandt's inequality
text, January 2009
- Sanz, M.; Perez-Garcia, D.; Wolf, M. M.
- arXiv
Memory effects in complex materials and nanoscale systems
text, January 2010
- Pershin, Yuriy V.; Di Ventra, Massimiliano
- arXiv
Quasiparticle relaxation of superconducting qubits in the presence of flux
text, January 2011
- Catelani, G.; Koch, Jens; Frunzio, L.
- arXiv
Relaxation and frequency shifts induced by quasiparticles in superconducting qubits
text, January 2011
- Catelani, G.; Schoelkopf, R. J.; Devoret, M. H.
- arXiv
Decoherence of superconducting qubits caused by quasiparticle tunneling
text, January 2012
- Catelani, G.; Nigg, Simon E.; Girvin, S. M.
- arXiv
On the physical properties of memristive, memcapacitive, and meminductive systems
text, January 2013
- Di Ventra, M.; Pershin, Y. V.
- arXiv
Universal Memcomputing Machines
text, January 2014
- Traversa, Fabio L.; Di Ventra, Massimiliano
- arXiv
Non-Poissonian Quantum Jumps of a Fluxonium Qubit due to Quasiparticle Excitations
text, January 2014
- Vool, Uri; Pop, Ioan M.; Sliwa, Katrina
- arXiv
Qubit-based memcapacitors and meminductors
text, January 2016
- Shevchenko, Sergey N.; Pershin, Yuriy V.; Nori, Franco
- arXiv
The missing memristor found
journal, May 2008
- Strukov, Dmitri B.; Snider, Gregory S.; Stewart, Duncan R.
- Nature, Vol. 453, Issue 7191
Coherent suppression of electromagnetic dissipation due to superconducting quasiparticles
journal, April 2014
- Pop, Ioan M.; Geerlings, Kurtis; Catelani, Gianluigi
- Nature, Vol. 508, Issue 7496
Suppression of the critical current of a balanced superconducting quantum interference device
journal, February 2008
- Kemppinen, Antti; Manninen, Antti J.; Möttönen, Mikko
- Applied Physics Letters, Vol. 92, Issue 5
Publisher’s Note: Superconducting Memristors [Phys. Rev. Applied2, 034011 (2014)]
journal, October 2014
- Peotta, Sebastiano; Di Ventra, Massimiliano
- Physical Review Applied, Vol. 2, Issue 4
Quasiparticle Relaxation of Superconducting Qubits in the Presence of Flux
journal, February 2011
- Catelani, G.; Koch, J.; Frunzio, L.
- Physical Review Letters, Vol. 106, Issue 7
Non-Poissonian Quantum Jumps of a Fluxonium Qubit due to Quasiparticle Excitations
journal, December 2014
- Vool, U.; Pop, I. M.; Sliwa, K.
- Physical Review Letters, Vol. 113, Issue 24
Markovian and non-Markovian dynamics in quantum and classical systems
text, January 2011
- Vacchini, Bassano; Smirne, Andrea; Laine, Elsi-Mari
- arXiv
Relaxation and frequency shifts induced by quasiparticles in superconducting qubits
text, January 2011
- Catelani, G.; Schoelkopf, R. J.; Devoret, M. H.
- arXiv
Observation of Time-domain Rabi Oscillations in the Landau-Zener Regime with a Single Electronic Spin
text, January 2013
- Zhou, Jingwei; Huang, Pu; Zhang, Qi
- arXiv
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journal, February 2019
- Wendin, Göran
- Advanced Quantum Technologies, Vol. 2, Issue 7-8
Quantum Artificial Life in an IBM Quantum Computer
journal, October 2018
- Alvarez-Rodriguez, U.; Sanz, M.; Lamata, L.
- Scientific Reports, Vol. 8, Issue 1
Analog simulator of integro-differential equations with classical memristors
journal, September 2019
- Barrios, G. Alvarado; Retamal, J. C.; Solano, E.
- Scientific Reports, Vol. 9, Issue 1
Quantum memristors
journal, July 2016
- Pfeiffer, P.; Egusquiza, I. L.; Di Ventra, M.
- Scientific Reports, Vol. 6, Issue 1
Invited Article: Quantum memristors in quantum photonics
journal, August 2018
- Sanz, M.; Lamata, L.; Solano, E.
- APL Photonics, Vol. 3, Issue 8
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
Thermometry and Memcapacitance with a Qubit-Resonator System
journal, July 2018
- Shevchenko, S. N.; Karpov, D. S.
- Physical Review Applied, Vol. 10, Issue 1
Quantized Single-Ion-Channel Hodgkin-Huxley Model for Quantum Neurons
journal, July 2019
- Gonzalez-Raya, Tasio; Cheng, Xiao-Hang; Egusquiza, Iñigo L.
- Physical Review Applied, Vol. 12, Issue 1
Josephson Thermal Memory
journal, January 2018
- Guarcello, Claudio; Solinas, Paolo; Braggio, Alessandro
- Physical Review Applied, Vol. 9, Issue 1
Josephson flux-flow oscillator: The microscopic tunneling approach
journal, July 2017
- Gulevich, D. R.; Koshelets, V. P.; Kusmartsev, F. V.
- Physical Review B, Vol. 96, Issue 2
Double quantum dot memristor
journal, August 2017
- Li, Ying; Holloway, Gregory W.; Benjamin, Simon C.
- Physical Review B, Vol. 96, Issue 7
Multiqubit and multilevel quantum reinforcement learning with quantum technologies
journal, July 2018
- Cárdenas-López, F. A.; Lamata, L.; Retamal, J. C.
- PLOS ONE, Vol. 13, Issue 7
Quantized Three-Ion-Channel Neuron Model for Neural Action Potentials
journal, January 2020
- Gonzalez-Raya, Tasio; Solano, Enrique; Sanz, Mikel
- Quantum, Vol. 4
Quantum Artificial Life in an IBM Quantum Computer
text, January 2017
- Alvarez-Rodriguez, U.; Sanz, M.; Lamata, L.
- Unpublished
Josephson Flux Flow Oscillator: the Microscopic Tunneling Approach
text, January 2017
- Gulevich, D. R.; Koshelets, V. P.; Kusmartsev, F. V.
- arXiv
Josephson thermal memory
text, January 2017
- Guarcello, Claudio; Solinas, Paolo; Braggio, Alessandro
- arXiv
Multiqubit and multilevel quantum reinforcement learning with quantum technologies
text, January 2017
- Cárdenas-López, F. A.; Lamata, L.; Retamal, J. C.
- arXiv
Analog simulator of integro-differential equations with classical memristors
text, January 2018
- Barrios, G. Alvarado; Retamal, J. C.; Solano, E.
- arXiv
Thermometry and memcapacitance with qubit-resonator system
text, January 2018
- Shevchenko, S. N.; Karpov, D. S.
- arXiv
Quantized Single-Ion-Channel Hodgkin-Huxley Model for Quantum Neurons
text, January 2018
- Gonzalez-Raya, Tasio; Cheng, Xiao-Hang; Egusquiza, Iñigo L.
- arXiv
Perceptrons from memristors
journal, February 2020
- Silva, Francisco; Sanz, Mikel; Seixas, João
- Neural Networks, Vol. 122
Protected State Transfer via an Approximate Quantum Adder
journal, July 2017
- Gatti, G.; Barberena, D.; Sanz, M.
- Scientific Reports, Vol. 7, Issue 1
Algorithmic quantum simulation of memory effects
journal, February 2017
- Alvarez-Rodriguez, U.; Di Candia, R.; Casanova, J.
- Physical Review A, Vol. 95, Issue 2
Multiqubit and multilevel quantum reinforcement learning with quantum technologies
journal, July 2018
- Cárdenas-López, F. A.; Lamata, L.; Retamal, J. C.
- PLOS ONE, Vol. 13, Issue 7
Advanced-Retarded Differential Equations in Quantum Photonic Systems
text, January 2016
- Alvarez-Rodriguez, Unai; Perez-Leija, Armando; Egusquiza, Iñigo L.
- arXiv
Basic protocols in quantum reinforcement learning with superconducting circuits
text, January 2017
- Lamata, Lucas
- arXiv
Quantum Artificial Life in an IBM Quantum Computer
text, January 2017
- Alvarez-Rodriguez, U.; Sanz, M.; Lamata, L.
- arXiv
Quantum machine learning and quantum biomimetics: A perspective
text, January 2020
- Lamata, Lucas
- arXiv
Simulation of memristive synapses and neuromorphic computing on a quantum computer
text, January 2020
- Li, Ying
- arXiv