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 Daemonic Ergotropy: Generalised Measurements and Multipartite Settings

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 771 ◽  
Author(s):  
Fabian Bernards ◽  
Matthias Kleinmann ◽  
Otfried Gühne ◽  
Mauro Paternostro
Keyword(s):  
Quantum System ◽  
Information Gain ◽  
Quantum Correlations ◽  
Maximum Energy ◽  
Extraction Protocol ◽  
Original Definition ◽  
Maximum Work ◽  
Classical Correlations ◽  
Projective Measurements ◽  
Classical States

Recently, the concept of daemonic ergotropy has been introduced to quantify the maximum energy that can be obtained from a quantum system through an ancilla-assisted work extraction protocol based on information gain via projective measurements [G. Francica et al., npj Quant. Inf. 3, 12 (2018)]. We prove that quantum correlations are not advantageous over classical correlations if projective measurements are considered. We go beyond the limitations of the original definition to include generalised measurements and provide an example in which this allows for a higher daemonic ergotropy. Moreover, we propose a see-saw algorithm to find a measurement that attains the maximum work extraction. Finally, we provide a multipartite generalisation of daemonic ergotropy that pinpoints the influence of multipartite quantum correlations, and study it for multipartite entangled and classical states.

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 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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