Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.87.012121
Title: Dependence of a quantum-mechanical system on its own initial state and the initial state of the environment it interacts with
Authors: Hutter, A.
Wehner, S. 
Issue Date: 2013
Source: Hutter, A., Wehner, S. (2013). Dependence of a quantum-mechanical system on its own initial state and the initial state of the environment it interacts with. Physical Review A - Atomic, Molecular, and Optical Physics 87 (1). ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.87.012121
Abstract: We present a unifying framework to the understanding of when and how quantum-mechanical systems become independent of their initial conditions and adapt macroscopic properties (like temperature) of the environment. By viewing this problem from a quantum information theory perspective, we are able to simplify it in a very natural and easy way. We first show that for any interaction between the system and the environment, and almost all initial states of the system, the question of how long the system retains memory of its initial conditions can be answered by studying the temporal evolution of just one special initial state. This special state thereby depends only on our knowledge of macroscopic parameters of the system. We provide a simple entropic inequality for this state that can be used to determine whether most states of the system have or have not become independent of their initial conditions after time t. We discuss applications of our entropic criterion to thermalization times in systems with an effective light cone and to quantum memories suffering depolarizing noise. We make a similar statement for almost all initial states of the environment and finally provide a sufficient condition for which a system never thermalizes but remains close to its initial state for all times. © 2013 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/39192
ISSN: 10502947
DOI: 10.1103/PhysRevA.87.012121
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

7
checked on Dec 11, 2017

WEB OF SCIENCETM
Citations

8
checked on Dec 11, 2017

Page view(s)

79
checked on Dec 9, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.