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Title: Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study

Abstract

The time evolution of the trace distance between two states of an open quantum system may increase due to initial system-environment correlations, thus exhibiting a breakdown of distance contractivity of the reduced dynamics. We analyze how the time evolution of the distance depends on the chosen distance measure. Here we elucidate the behavior of the trace distance, the Hilbert-Schmidt distance, the Bures distance, the Hellinger distance, and the quantum Jensen-Shannon divergence for two system-environment setups, namely a qubit bilinearly coupled to an infinite and a finite-size environment with the latter composed of harmonic oscillators.

Authors:
; ;  [1];  [2]
  1. Institute of Physics, University of Silesia, 40-007 Katowice (Poland)
  2. (Germany)
Publication Date:
OSTI Identifier:
22068641
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BREAKDOWN; CORRELATIONS; DISTANCE; HARMONIC OSCILLATORS; QUANTUM STATES; QUBITS

Citation Formats

Dajka, Jerzy, Luczka, Jerzy, Haenggi, Peter, and Institute of Physics, University of Augsburg, D-86135 Augsburg. Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.032120.
Dajka, Jerzy, Luczka, Jerzy, Haenggi, Peter, & Institute of Physics, University of Augsburg, D-86135 Augsburg. Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study. United States. doi:10.1103/PHYSREVA.84.032120.
Dajka, Jerzy, Luczka, Jerzy, Haenggi, Peter, and Institute of Physics, University of Augsburg, D-86135 Augsburg. Thu . "Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study". United States. doi:10.1103/PHYSREVA.84.032120.
@article{osti_22068641,
title = {Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study},
author = {Dajka, Jerzy and Luczka, Jerzy and Haenggi, Peter and Institute of Physics, University of Augsburg, D-86135 Augsburg},
abstractNote = {The time evolution of the trace distance between two states of an open quantum system may increase due to initial system-environment correlations, thus exhibiting a breakdown of distance contractivity of the reduced dynamics. We analyze how the time evolution of the distance depends on the chosen distance measure. Here we elucidate the behavior of the trace distance, the Hilbert-Schmidt distance, the Bures distance, the Hellinger distance, and the quantum Jensen-Shannon divergence for two system-environment setups, namely a qubit bilinearly coupled to an infinite and a finite-size environment with the latter composed of harmonic oscillators.},
doi = {10.1103/PHYSREVA.84.032120},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}