Universidad Complutense de Madrid
E-Prints Complutense

The inverse eigenvalue problem for quantum channels

Impacto

Downloads

Downloads per month over past year



Wolf, Michael and Pérez García, David (2010) The inverse eigenvalue problem for quantum channels. (Submitted)

[img] PDF
363kB

Official URL: http://arxiv.org/abs/1005.4545



Abstract

Given a list of n complex numbers, when can it be the spectrum of a quantum channel, i.e., a completely positive trace preserving map? We provide an explicit solution for the n=4 case and show that in general the characterization of the non-zero part of the spectrum can essentially be given in terms of its classical counterpart - the non-zero spectrum of a stochastic matrix. A detailed comparison between the classical and quantum case is given. We discuss applications of our findings in the analysis of time-series and correlation functions and provide a general characterization of the peripheral spectrum, i.e., the set of eigenvalues of modulus one. We show that while the peripheral eigen-system has the same structure for all Schwarz maps, the constraints imposed on the rest of the spectrum change immediately if one departs from complete positivity.


Item Type:Article
Uncontrolled Keywords:Física matemática, Teoría cuántica, Teoría espectral, Quantum Physics, Mathematical Physics, Spectral Theory
Subjects:Sciences > Physics > Mathematical physics
Sciences > Physics > Quantum theory
ID Code:12156
Deposited On:03 Feb 2011 08:33
Last Modified:04 Dec 2014 10:26

Origin of downloads

Repository Staff Only: item control page