scholarly journals Locally indistinguishable orthogonal product bases in arbitrary bipartite quantum system

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Guang-Bao Xu ◽  
Ying-Hui Yang ◽  
Qiao-Yan Wen ◽  
Su-Juan Qin ◽  
Fei Gao
Keyword(s):  
Quantum System ◽  
Bipartite Quantum System ◽  
Orthogonal Product

scholarly journals Extracting classical correlations from a bipartite quantum system

2003 ◽  
Vol 67 (1) ◽  
Author(s):  
S. Hamieh ◽  
J. Qi ◽  
D. Siminovitch ◽  
M. K. Ali
Keyword(s):  
Quantum System ◽  
Bipartite Quantum System ◽  
Classical Correlations

scholarly journals Negative quantum conditional entropy and the entanglement measure of a kind of mixed state of bipartite quantum system

2007 ◽  
Vol 56 (7) ◽  
pp. 3937
Author(s):  
Zhou Bing-Ju ◽  
Liu Xiao-Juan ◽  
Fang Mao-Fa ◽  
Zhou Qing-Ping ◽  
Liu Ming-Wei
Keyword(s):  
Quantum System ◽  
Mixed State ◽  
Conditional Entropy ◽  
Entanglement Measure ◽  
Bipartite Quantum System ◽  
Quantum Conditional Entropy

scholarly journals Structure of states for which each localized dynamics reduces to a localized subdynamics

2017 ◽  
Vol 15 (06) ◽  
pp. 1750043 ◽  
Author(s):  
Iman Sargolzahi ◽  
Sayyed Yahya Mirafzali
Keyword(s):  
Quantum System ◽  
Quantum Dynamics ◽  
Local Environment ◽  
Initial State ◽  
Completely Positive ◽  
Bipartite Quantum System ◽  
System Environment ◽  
Part Formula ◽  
Markov State

We consider a bipartite quantum system [Formula: see text] (including parties [Formula: see text] and [Formula: see text]), interacting with an environment [Formula: see text] through a localized quantum dynamics [Formula: see text]. We call a quantum dynamics [Formula: see text] localized if, e.g. the party [Formula: see text] is isolated from the environment and only [Formula: see text] interacts with the environment: [Formula: see text], where [Formula: see text] is the identity map on the part [Formula: see text] and [Formula: see text] is a completely positive (CP) map on the both [Formula: see text] and [Formula: see text]. We will show that the reduced dynamics of the system is also localized as [Formula: see text], where [Formula: see text] is a CP map on [Formula: see text], if and only if the initial state of the system-environment is a Markov state. We then generalize this result to the two following cases: when both [Formula: see text] and [Formula: see text] interact with a same environment, and when each party interacts with its local environment.

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