Quantum memristors

Pfeiffer, P.; Egusquiza, I. L.; Di Ventra, M.; Sanz, M.; Solano, E.

doi:10.1038/srep29507

Title: Quantum memristors

Journal Article · Wed Jul 06 00:00:00 EDT 2016 · Scientific Reports

DOI:https://doi.org/10.1038/srep29507· OSTI ID:1312950

Pfeiffer, P. ^[1]; Egusquiza, I. L. ^[1]; Di Ventra, M. ^[2]; Sanz, M. ^[1]; Solano, E. ^[3]

Univ. of the Basque Country UPV/EHU, Bilbao (Spain)
Univ. of California, San Diego, La Jolla, CA (United States)
Univ. of the Basque Country UPV/EHU, Bilbao (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain)

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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-05ER46204

OSTI ID:: 1312950

Journal Information:: Scientific Reports, Vol. 6; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 47 works

Citation information provided by
Web of Science

References (33)

The Theory of Open Quantum Systems Breuer, Heinz-Peter; Petruccione, Francesco Oxford University Press https://doi.org/10.1093/acprof:oso/9780199213900.001.0001	book	January 2007
Memristor-The missing circuit element Chua, L. IEEE Transactions on Circuit Theory, Vol. 18, Issue 5 https://doi.org/10.1109/TCT.1971.1083337	journal	January 1971
The missing memristor found Strukov, Dmitri B.; Snider, Gregory S.; Stewart, Duncan R. Nature, Vol. 453, Issue 7191 https://doi.org/10.1038/nature06932	journal	May 2008
Universal Memcomputing Machines Traversa, Fabio Lorenzo; Di Ventra, Massimiliano IEEE Transactions on Neural Networks and Learning Systems, Vol. 26, Issue 11 https://doi.org/10.1109/TNNLS.2015.2391182	journal	November 2015
Memcomputing NP -complete problems in polynomial time using polynomial resources and collective states Traversa, Fabio Lorenzo; Ramella, Chiara; Bonani, Fabrizio Science Advances, Vol. 1, Issue 6 https://doi.org/10.1126/sciadv.1500031	journal	July 2015
Memristive devices for computing Yang, J. Joshua; Strukov, Dmitri B.; Stewart, Duncan R. Nature Nanotechnology, Vol. 8, Issue 1, p. 13-24 https://doi.org/10.1038/nnano.2012.240	journal	January 2013
On the physical properties of memristive, memcapacitive and meminductive systems Di Ventra, Massimiliano; Pershin, Yuriy V. Nanotechnology, Vol. 24, Issue 25 https://doi.org/10.1088/0957-4484/24/25/255201	journal	May 2013
Digital quantum simulation of fermionic models with a superconducting circuit Barends, R.; Lamata, L.; Kelly, J. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8654	journal	July 2015
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
Superconducting quantum circuits at the surface code threshold for fault tolerance Barends, R.; Kelly, J.; Megrant, A. Nature, Vol. 508, Issue 7497 https://doi.org/10.1038/nature13171	journal	April 2014
Detecting bit-flip errors in a logical qubit using stabilizer measurements Ristè, D.; Poletto, S.; Huang, M. -Z. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7983	journal	April 2015
Quantum network theory Yurke, Bernard; Denker, John S. Physical Review A, Vol. 29, Issue 3 https://doi.org/10.1103/PhysRevA.29.1419	journal	March 1984
Quantum tunnelling in a dissipative system Caldeira, A. O.; Leggett, A. J. Annals of Physics, Vol. 149, Issue 2 https://doi.org/10.1016/0003-4916(83)90202-6	journal	September 1983
Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors Di Ventra, Massimiliano; Pershin, Yuriy V.; Chua, Leon O. Proceedings of the IEEE, Vol. 97, Issue 10 https://doi.org/10.1109/JPROC.2009.2021077	journal	October 2009
Qubit-Based Memcapacitors and Meminductors Shevchenko, Sergey N.; Pershin, Yuriy V.; Nori, Franco Physical Review Applied, Vol. 6, Issue 1 https://doi.org/10.1103/PhysRevApplied.6.014006	journal	July 2016
Lagrange formalism of memory circuit elements: Classical and quantum formulations Cohen, Guy Z.; Pershin, Yuriy V.; Di Ventra, Massimiliano Physical Review B, Vol. 85, Issue 16 https://doi.org/10.1103/PhysRevB.85.165428	journal	April 2012
Quantum Measurement and Control Wiseman, Howard M.; Milburn, Gerard J. https://doi.org/10.1017/CBO9780511813948	book	January 2009
A straightforward introduction to continuous quantum measurement Jacobs, Kurt; Steck, Daniel A. Contemporary Physics, Vol. 47, Issue 5 https://doi.org/10.1080/00107510601101934	journal	September 2006
Superconducting Memristors Peotta, Sebastiano; Di Ventra, Massimiliano Physical Review Applied, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevApplied.2.034011	journal	September 2014
Quantum Memristors with Superconducting Circuits Salmilehto, J.; Deppe, F.; Di Ventra, M. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep42044	journal	February 2017
A Quantum Version of Wielandt's Inequality Sanz, Mikel; Perez-Garcia, David; Wolf, Michael M. IEEE Transactions on Information Theory, Vol. 56, Issue 9 https://doi.org/10.1109/TIT.2010.2054552	journal	September 2010
Fundamental Speed Limits to the Generation of Quantumness Jing, Jun; Wu, Lian-Ao; del Campo, Adolfo Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep38149	journal	November 2016
A quantum version of Wielandt's inequality Sanz, M.; Perez-Garcia, D.; Wolf, M. M. arXiv https://doi.org/10.48550/arxiv.0909.5347	text	January 2009
On the physical properties of memristive, memcapacitive, and meminductive systems Di Ventra, M.; Pershin, Y. V. arXiv https://doi.org/10.48550/arxiv.1302.7063	text	January 2013
Superconducting Memristors Peotta, Sebastiano; Di Ventra, Massimiliano arXiv https://doi.org/10.48550/arxiv.1311.2975	text	January 2013
Dynamical Casimir effect entangles artificial atoms Felicetti, S.; Sanz, M.; Lamata, L. arXiv https://doi.org/10.48550/arxiv.1402.4451	text	January 2014
Universal Memcomputing Machines Traversa, Fabio L.; Di Ventra, Massimiliano arXiv https://doi.org/10.48550/arxiv.1405.0931	text	January 2014
Memcomputing NP-complete problems in polynomial time using polynomial resources and collective states Traversa, Fabio L.; Ramella, Chiara; Bonani, Fabrizio arXiv https://doi.org/10.48550/arxiv.1411.4798	text	January 2014
Fundamental Speed Limits to the Generation of Quantumness Jing, Jun; Wu, Lian-Ao; del Campo, Adolfo arXiv https://doi.org/10.48550/arxiv.1510.01106	text	January 2015
Qubit-based memcapacitors and meminductors Shevchenko, Sergey N.; Pershin, Yuriy V.; Nori, Franco arXiv https://doi.org/10.48550/arxiv.1602.07230	text	January 2016
Quantum Memristors with Superconducting Circuits Salmilehto, J.; Deppe, F.; Di Ventra, M. arXiv https://doi.org/10.48550/arxiv.1603.04487	text	January 2016
A Straightforward Introduction to Continuous Quantum Measurement Jacobs, Kurt; Steck, Daniel A. arXiv https://doi.org/10.48550/arxiv.quant-ph/0611067	text	January 2006
Publisher’s Note: Superconducting Memristors [Phys. Rev. Applied2, 034011 (2014)] Peotta, Sebastiano; Di Ventra, Massimiliano Physical Review Applied, Vol. 2, Issue 4 https://doi.org/10.1103/physrevapplied.2.049901	journal	October 2014

Cited By (25)

Can Biological Quantum Networks Solve NP‐Hard Problems? Wendin, Göran Advanced Quantum Technologies, Vol. 2, Issue 7-8 https://doi.org/10.1002/qute.201800081	journal	February 2019
Quantum Artificial Life in an IBM Quantum Computer Alvarez-Rodriguez, U.; Sanz, M.; Lamata, L. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-33125-3	journal	October 2018
Analog simulator of integro-differential equations with classical memristors Barrios, G. Alvarado; Retamal, J. C.; Solano, E. Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-49204-y	journal	September 2019
Quantum Memristors with Superconducting Circuits Salmilehto, J.; Deppe, F.; Di Ventra, M. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep42044	journal	February 2017
Invited Article: Quantum memristors in quantum photonics Sanz, M.; Lamata, L.; Solano, E. APL Photonics, Vol. 3, Issue 8 https://doi.org/10.1063/1.5036596	journal	August 2018
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
Thermometry and Memcapacitance with a Qubit-Resonator System Shevchenko, S. N.; Karpov, D. S. Physical Review Applied, Vol. 10, Issue 1 https://doi.org/10.1103/physrevapplied.10.014013	journal	July 2018
Double quantum dot memristor Li, Ying; Holloway, Gregory W.; Benjamin, Simon C. Physical Review B, Vol. 96, Issue 7 https://doi.org/10.1103/physrevb.96.075446	journal	August 2017
Measuring quantumness: from theory to observability in interferometric setups Ferro, Leonardo; Fazio, Rosario; Illuminati, Fabrizio The European Physical Journal D, Vol. 72, Issue 12 https://doi.org/10.1140/epjd/e2018-90522-y	journal	December 2018
Multiqubit and multilevel quantum reinforcement learning with quantum technologies Cárdenas-López, F. A.; Lamata, L.; Retamal, J. C. PLOS ONE, Vol. 13, Issue 7 https://doi.org/10.1371/journal.pone.0200455	journal	July 2018
Quantized Three-Ion-Channel Neuron Model for Neural Action Potentials Gonzalez-Raya, Tasio; Solano, Enrique; Sanz, Mikel Quantum, Vol. 4 https://doi.org/10.22331/q-2020-01-20-224	journal	January 2020
Quantum Artificial Life in an IBM Quantum Computer Alvarez-Rodriguez, U.; Sanz, M.; Lamata, L. Unpublished https://doi.org/10.13140/rg.2.2.35544.80647	text	January 2017
Measuring quantumness: from theory to observability in interferometric setups Ferro, Leonardo; Fazio, Rosario; Illuminati, Fabrizio arXiv https://doi.org/10.48550/arxiv.1501.03099	text	January 2015
Quantum Memristors with Superconducting Circuits Salmilehto, J.; Deppe, F.; Di Ventra, M. arXiv https://doi.org/10.48550/arxiv.1603.04487	text	January 2016
Multiqubit and multilevel quantum reinforcement learning with quantum technologies Cárdenas-López, F. A.; Lamata, L.; Retamal, J. C. arXiv https://doi.org/10.48550/arxiv.1709.07848	text	January 2017
Analog simulator of integro-differential equations with classical memristors Barrios, G. Alvarado; Retamal, J. C.; Solano, E. arXiv https://doi.org/10.48550/arxiv.1803.05945	text	January 2018
Thermometry and memcapacitance with qubit-resonator system Shevchenko, S. N.; Karpov, D. S. arXiv https://doi.org/10.48550/arxiv.1805.06154	text	January 2018
Quantized Single-Ion-Channel Hodgkin-Huxley Model for Quantum Neurons Gonzalez-Raya, Tasio; Cheng, Xiao-Hang; Egusquiza, Iñigo L. arXiv https://doi.org/10.48550/arxiv.1807.10698	text	January 2018
Can biological quantum networks solve NP-hard problems? Wendin, Göran arXiv https://doi.org/10.48550/arxiv.1902.03121	text	January 2019
Protected State Transfer via an Approximate Quantum Adder Gatti, G.; Barberena, D.; Sanz, M. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-06425-3	journal	July 2017
Advanced-Retarded Differential Equations in Quantum Photonic Systems Alvarez-Rodriguez, Unai; Perez-Leija, Armando; Egusquiza, Iñigo L. arXiv https://doi.org/10.48550/arxiv.1606.05143	text	January 2016
Basic protocols in quantum reinforcement learning with superconducting circuits Lamata, Lucas arXiv https://doi.org/10.48550/arxiv.1701.05131	text	January 2017
Quantum Memristors in Quantum Photonics Sanz, M.; Lamata, L.; Solano, E. arXiv https://doi.org/10.48550/arxiv.1709.07808	text	January 2017
Quantum Artificial Life in an IBM Quantum Computer Alvarez-Rodriguez, U.; Sanz, M.; Lamata, L. arXiv https://doi.org/10.48550/arxiv.1711.09442	text	January 2017
Quantum Memristors in Frequency-Entangled Optical Fields Gonzalez-Raya, Tasio; Lukens, Joseph M.; Céleri, Lucas C. arXiv https://doi.org/10.48550/arxiv.1912.10019	text	January 2019

Similar Records

Quantum Memristors in Frequency-Entangled Optical Fields

Journal Article · Sat Feb 01 00:00:00 EST 2020 · Materials · OSTI ID:1312950

Gonzalez-Raya, Tasio; Lukens, Joseph M.; Céleri, Lucas C.; +1 more

Quantum Memristors with Superconducting Circuits

Journal Article · Tue Feb 14 00:00:00 EST 2017 · Scientific Reports · OSTI ID:1312950

Salmilehto, J.; Deppe, F.; Di Ventra, M.; +2 more

Analog simulator of integro-differential equations with classical memristors

Journal Article · Tue Sep 10 00:00:00 EDT 2019 · Scientific Reports · OSTI ID:1312950

Barrios, G. Alvarado; Retamal, J. C.; Solano, E.; +1 more

Related Subjects

97 MATHEMATICS AND COMPUTING

Title: Quantum memristors

Citation Formats

References (33)

Cited By (25)

Similar Records

Related Subjects