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Quantum memristors

Journal Article · · Scientific Reports
DOI:https://doi.org/10.1038/srep29507· OSTI ID:1312950
 [1];  [2];  [3];  [2];  [4]
  1. Univ. of the Basque Country UPV/EHU, Bilbao (Spain); University of the Basque Country UPV/EHU, Spain
  2. Univ. of the Basque Country UPV/EHU, Bilbao (Spain)
  3. Univ. of California, San Diego, La Jolla, CA (United States)
  4. 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.

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, Journal Name: Scientific Reports Vol. 6; ISSN 2045-2322
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (34)

The missing memristor found journal May 2008
Detecting bit-flip errors in a logical qubit using stabilizer measurements journal April 2015
Quantum network theory journal March 1984
Publisher’s Note: Superconducting Memristors [Phys. Rev. Applied2, 034011 (2014)] journal October 2014
Dynamical Casimir effect entangles artificial atoms text January 2014
Universal Memcomputing Machines text January 2014
Quantum tunnelling in a dissipative system journal September 1983
Quantum Measurement and Control book January 2009
Superconducting quantum circuits at the surface code threshold for fault tolerance journal April 2014
Digital quantum simulation of fermionic models with a superconducting circuit journal July 2015
Memristive devices for computing journal January 2013
Fundamental Speed Limits to the Generation of Quantumness journal November 2016
Quantum Memristors with Superconducting Circuits journal February 2017
A straightforward introduction to continuous quantum measurement journal September 2006
On the physical properties of memristive, memcapacitive and meminductive systems journal May 2013
The Theory of Open Quantum Systems book January 2007
Quantum network theory journal March 1984
Superconducting Memristors journal September 2014
Qubit-Based Memcapacitors and Meminductors journal July 2016
Lagrange formalism of memory circuit elements: Classical and quantum formulations journal April 2012
Dynamical Casimir Effect Entangles Artificial Atoms journal August 2014
Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors journal October 2009
Memristor-The missing circuit element journal January 1971
A Quantum Version of Wielandt's Inequality journal September 2010
Universal Memcomputing Machines journal November 2015
Memcomputing NP -complete problems in polynomial time using polynomial resources and collective states journal July 2015
A quantum version of Wielandt's inequality text January 2009
On the physical properties of memristive, memcapacitive, and meminductive systems text January 2013
Superconducting Memristors text January 2013
Memcomputing NP-complete problems in polynomial time using polynomial resources and collective states text January 2014
Fundamental Speed Limits to the Generation of Quantumness text January 2015
Qubit-based memcapacitors and meminductors text January 2016
Quantum Memristors with Superconducting Circuits text January 2016
A Straightforward Introduction to Continuous Quantum Measurement text January 2006

Cited By (27)

Protected State Transfer via an Approximate Quantum Adder journal July 2017
Analog simulator of integro-differential equations with classical memristors journal September 2019
Quantum Memristors with Superconducting Circuits journal February 2017
Qubit-Based Memcapacitors and Meminductors journal July 2016
Multiqubit and multilevel quantum reinforcement learning with quantum technologies journal July 2018
Advanced-Retarded Differential Equations in Quantum Photonic Systems text January 2016
Basic protocols in quantum reinforcement learning with superconducting circuits text January 2017
Quantum Memristors in Quantum Photonics text January 2017
Quantum Artificial Life in an IBM Quantum Computer text January 2017
Quantum Memristors in Frequency-Entangled Optical Fields text January 2019
Can Biological Quantum Networks Solve NP‐Hard Problems? journal February 2019
Quantum Artificial Life in an IBM Quantum Computer journal October 2018
Invited Article: Quantum memristors in quantum photonics journal August 2018
Quantum autoencoders via quantum adders with genetic algorithms journal October 2018
Thermometry and Memcapacitance with a Qubit-Resonator System journal July 2018
Quantized Single-Ion-Channel Hodgkin-Huxley Model for Quantum Neurons journal July 2019
Double quantum dot memristor journal August 2017
Measuring quantumness: from theory to observability in interferometric setups journal December 2018
Quantum Artificial Life in an IBM Quantum Computer text January 2017
Quantized Three-Ion-Channel Neuron Model for Neural Action Potentials journal January 2020
Measuring quantumness: from theory to observability in interferometric setups text January 2015
Quantum Memristors with Superconducting Circuits text January 2016
Multiqubit and multilevel quantum reinforcement learning with quantum technologies text January 2017
Analog simulator of integro-differential equations with classical memristors text January 2018
Thermometry and memcapacitance with qubit-resonator system text January 2018
Quantized Single-Ion-Channel Hodgkin-Huxley Model for Quantum Neurons text January 2018
Can biological quantum networks solve NP-hard problems? text January 2019

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