scholarly journals Geometric Phase for Adiabatic Evolutions of General Quantum States

2005 ◽  
Vol 94 (14) ◽  
Author(s):  
Biao Wu ◽  
Jie Liu ◽  
Qian Niu
Keyword(s):  
Geometric Phase ◽  
Quantum States ◽  
General Quantum

Spectral weighted geometric phase for mixed quantum states

2014 ◽  
Vol T163 ◽  
pp. 014027 ◽  
Author(s):  
Ole Andersson ◽  
Hoshang Heydari
Keyword(s):  
Geometric Phase ◽  
Quantum States

The faithful remote preparation of general quantum states

2012 ◽  
Vol 12 (1) ◽  
pp. 279-294 ◽  
Author(s):  
Ming-Xing Luo ◽  
Yun Deng ◽  
Xiu-Bo Chen ◽  
Yi-Xian Yang
Keyword(s):  
Quantum States ◽  
General Quantum ◽  
Remote Preparation

scholarly journals Entanglement-induced geometric phase of quantum states

2010 ◽  
Vol 374 (13-14) ◽  
pp. 1431-1433 ◽  
Author(s):  
Erik Sjöqvist
Keyword(s):  
Geometric Phase ◽  
Quantum States

The one-way information deficit for a class of two-qubit states

2015 ◽  
Vol 13 (02) ◽  
pp. 1550012
Author(s):  
H. Eftekhari ◽  
E. Faizi
Keyword(s):  
Dynamic Behavior ◽  
Quantum States ◽  
Parameter Family ◽  
General Quantum ◽  
The One ◽  
Qubit States ◽  
Additional Assumptions ◽  
Explicit Expressions

So far, one-way information deficit (OWID) has been calculated explicitly only for Bell-diagonal states and the four-parameter family of X-states with additional assumptions and expressions for more general quantum states are not known. In this paper, we derive explicit expressions for OWID for a larger class of two-qubit states, namely, a five-parameter family of two-qubit states. The dynamic behavior of the OWID under decoherence channel is investigated and it is shown that the OWID is more robust against the decoherence than the entanglement.

scholarly journals Quantum Extremal Surfaces and the Holographic Entropy Cone

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Chris Akers ◽  
Sergio Hernández-Cuenca ◽  
Pratik Rath
Keyword(s):  
Mutual Information ◽  
Quantum Systems ◽  
Quantum States ◽  
Quantum Corrections ◽  
Controlled Study ◽  
Extremal Surface ◽  
General Quantum ◽  
Entropy Inequalities

Abstract Quantum states with geometric duals are known to satisfy a stricter set of entropy inequalities than those obeyed by general quantum systems. The set of allowed entropies derived using the Ryu-Takayanagi (RT) formula defines the Holographic Entropy Cone (HEC). These inequalities are no longer satisfied once general quantum corrections are included by employing the Quantum Extremal Surface (QES) prescription. Nevertheless, the structure of the QES formula allows for a controlled study of how quantum contributions from bulk entropies interplay with HEC inequalities. In this paper, we initiate an exploration of this problem by relating bulk entropy constraints to boundary entropy inequalities. In particular, we show that requiring the bulk entropies to satisfy the HEC implies that the boundary entropies also satisfy the HEC. Further, we also show that requiring the bulk entropies to obey monogamy of mutual information (MMI) implies the boundary entropies also obey MMI.

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