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

Journal Article · Thu Sep 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.032120· OSTI ID:22068641

Dajka, Jerzy; Luczka, Jerzy; Haenggi, Peter ^[1]

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1. Institute of Physics, University of Silesia, 40-007 Katowice (Poland)

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.

• OSTI ID: 22068641
• Journal Information: Physical Review. A, Vol. 84, Issue 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BREAKDOWN
CORRELATIONS
DISTANCE
HARMONIC OSCILLATORS
QUANTUM STATES
QUBITS