Area law for fixed points of rapidly mixing dissipative quantum systems

Abstract

We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure or the system is frustration free.

Document Details

Document Type
Pub Defense Publication
Publication Date
Oct 01, 2015
Source ID
10.1063/1.4932612

Entities

People

  • Angelo Lucia
  • David Perez-garcia
  • Fernando G. S. L. Brandao
  • Spyridon Michalakis
  • Toby S Cubitt

Organizations

  • Air Force Office of Scientific Research
  • California Institute of Technology
  • Complutense University of Madrid
  • Engineering and Physical Sciences Research Council
  • European Research Council
  • Gordon and Betty Moore Foundation
  • John Templeton Foundation
  • Microsoft
  • Ministry of Economy, Industry and Competitiveness
  • Royal Society
  • University College London
  • University of Cambridge

Tags

Readers

  • Approximation Theory.
  • Plasma Physics / Magnetohydrodynamics
  • Systems Analysis and Design

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Dots