Open AccessThe research of properties of the quantum conditional amplitude operator
Author(s) -
Zhang Dexing
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.1647
Subject(s) - operator (biology) , von neumann entropy , conditional expectation , conditional entropy , unitary state , probability amplitude , mathematics , quantum , conditional quantum entropy , unitary operator , eigenvalues and eigenvectors , conditional probability , quantum discord , pure mathematics , quantum mechanics , physics , quantum entanglement , quantum operation , principle of maximum entropy , open quantum system , statistics , hilbert space , repressor , law , chemistry , biochemistry , political science , transcription factor , gene
This paper analyzes the properties of the quantum conditional amplitude operator.This operator plays a role similar to that of the conditional probability in classical information theory.One argues that the spectrum of the conditional operator that characterizes a quantum bipartite system is invariant under local unitary transformations,and shows its inseparability.It is proven that the conditional amplitude operator of a separable state cannot have an eigenvalue exceeding unity.A related separability condition based on the non-negativity of the von Neumann conditional entropy is obtained.