The Trace Distance and Linear Entropy of Qubit States: The Role of Initial Qubit-Environment Correlations

2012/10/01 by Jerzy Dajka, J. Łuczka, Jerzy Luczka
Computer Science · Mathematics · Physics and Astronomy · #Dephasing #Entropy (arrow of time) #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum state #Qubit #Statistical physics #TRACE (psycholinguistics) #Trace distance #quant-ph

paper · pdf · doi:10.1016/s0034-4877(12)60039-1

published as Rep. Math. Phys. 70, 193 (2012)

openalex publication_date 2012/10/01 · arxiv created 2013/04/08 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The role of initial qubit-environment correlations on trace distance between two qubit states is studied in the framework of non--Markovian pure dephasing. The growth of mixedness of reduced state quantified by linear entropy is shown to be related to the degree of initial qubit--environment correlations.

Citations

• Jensen-Shannon divergence as a measure of distinguishability between mixed quantum states
• Distance measures to compare real and ideal quantum processes
• A single quantum cannot be cloned
• Reduced Dynamics Need Not Be Completely Positive
• Initial correlations in open-systems dynamics: The Jaynes-Cummings model
• Dynamics of the dissipative two-state system