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Quantum simulation of dissipative processes without reservoir engineering

Journal Article · · Scientific Reports
DOI:https://doi.org/10.1038/srep09981· OSTI ID:1212705
 [1];  [1];  [2];  [3];  [4]
  1. Univ. of the Basque Country, Bilbao (Spain)
  2. Univ. of Massachusetts, Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Univ. of the Basque Country, Bilbao (Spain); Basque Foundation for Science, Bilbao (Spain)
  4. Univ. of the Basque Country, Bilbao (Spain); Univ. Ulm, Ulm (Germany)
We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify its accuracy.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1212705
Journal Information:
Scientific Reports, Journal Name: Scientific Reports Vol. 5; ISSN 2045-2322
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (17)

Measurement of linear response functions in Nuclear Magnetic Resonance journal October 2017
Fundamental Speed Limits to the Generation of Quantumness text January 2015
A quantum algorithm for the direct estimation of the steady state of open quantum systems text January 2020
Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives journal December 2019
Fundamental Speed Limits to the Generation of Quantumness journal November 2016
Digital-analog quantum simulations with superconducting circuits journal January 2018
Quantum algorithm for the simulation of open-system dynamics and thermalization journal January 2020
Dissipative universal Lindbladian simulation journal February 2016
Time-dependent quantum correlations in phase space journal June 2017
Quantum simulation of quantum channels in nuclear magnetic resonance journal December 2017
Pulsed dynamical decoupling for fast and robust two-qubit gates on trapped ions journal May 2018
Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise journal April 2017
Dissipative Universal Lindbladian Simulation text January 2015
Measurement of linear response functions in Nuclear Magnetic Resonance text January 2016
Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise text January 2016
Time-dependent quantum correlations in phase space text January 2017
Quantum computers as universal quantum simulators: state-of-art and perspectives text January 2019

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