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Open Quantum Systems Decoherence Quantum Simulation

Inverse design of dissipative quantum steady-states with implicit differentiation

arXiv
Authors: Rodrigo A. Vargas-Hernández, Ricky T. Q. Chen, Kenneth A. Jung, Paul Brumer

Year

2020

Paper ID

18988

Status

Preprint

Abstract Read

~2 min

Abstract Words

79

Citations

N/A

Abstract

Inverse design of a property that depends on the steady-state of an open quantum system is commonly done by grid-search type of methods. In this paper we present a new methodology that allows us to compute the gradient of the steady-state of an open quantum system with respect to any parameter of the Hamiltonian using the implicit differentiation theorem. As an example, we present a simulation of a spin-boson model where the steady-state solution is obtained using Redfield theory.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Inverse design of a property that depends on the steady-state of an open quantum system is commonly done by grid-search type of methods.

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