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Complete positivity is a ubiquitous assumption in the study of quantum systems interacting with the environment, but the lack of complete positivity of a quantum evolution (called the "negativity") can be used as a measure of the…

量子物理 · 物理学 2013-09-12 James M. McCracken

Entanglement measures quantify the amount of quantum entanglement that is contained in quantum states. Typically, different entanglement measures do not have to be partially ordered. The presence of a definite partial order between two…

量子物理 · 物理学 2022-08-30 Danko D. Georgiev , Stanley P. Gudder

In [X.-W. Hou, Z.-P. Huang, S. Chen, Eur. Phys. J. D 68, 1 (2014)], Hou et al. present, using Tsallis' entropy, possible generalizations of the quantum discord measure, finding original results. As for the mutual informations and discord,…

量子物理 · 物理学 2015-04-09 Guido Bellomo , Angelo Plastino , Anna P. Majtey , Angel R. Plastino

We calculate the quantum discord between two free modes of a scalar field which start in a maximally entangled state and then undergo a relative, constant acceleration. In a regime where there is no distillable entanglement due to the Unruh…

量子物理 · 物理学 2013-05-29 Animesh Datta

A framework for categorizing entropic measures of nonclassical correlations in bipartite quantum states is presented. The measures are based on the difference between a quantum entropic quantity and the corresponding classical quantity…

量子物理 · 物理学 2015-02-17 Matthias D. Lang , Carlton M. Caves , Anil Shaji

A simple relation is introduced for concurrence to describe how much the entanglement of bipartite system is at least left if either (or both) subsystem undergoes an arbitrary physical process. This provides a lower bound for concurrence of…

量子物理 · 物理学 2009-11-13 Chang-shui Yu , X X Yi , He-shan Song

With the aid of a quantum memory, the uncertainty about the measurement outcomes of two incompatible observables of a quantum system can be reduced. We investigate this measurement uncertainty bound by considering an additional quantum…

量子物理 · 物理学 2013-02-15 Ming-Liang Hu , Heng Fan

We explore the role played by the phase in an accurate description of the entanglement of bipartite systems. We first present an appropriate polar decomposition that leads to a truly Hermitian operator for the phase of a single qubit. We…

量子物理 · 物理学 2007-05-23 Luis L. Sanchez-Soto , Julian Delgado , Andrei B. Klimov , Gunnar Bjork

Entanglement swapping is gaining widespread attention due to its application in entanglement distribution among different parts of quantum appliances. We investigate the entanglement swapping for pure and noisy systems, and argue different…

量子物理 · 物理学 2023-03-02 S. M. Zangi , Chitra Shukla , Atta Ur Rahman , Bo Zheng

An analysis of quantum measurement is presented that relies on an information-theoretic description of quantum entanglement. In a consistent quantum information theory of entanglement, entropies (uncertainties) conditional on measurement…

量子物理 · 物理学 2008-02-03 N. J. Cerf , C. Adami

We define a multi-partite entanglement measure for stabilizer states, which can be computed efficiently from a set of generators of the stabilizer group. Our measure applies to qubits, qudits and continuous variables.

量子物理 · 物理学 2007-05-23 David Fattal , Toby S. Cubitt , Yoshihisa Yamamoto , Sergey Bravyi , Isaac L. Chuang

The expected indefinite causal structure in quantum gravity poses a challenge to the notion of entanglement: If two parties are in an indefinite causal relation of being spacelike and timelike, can they still be entangled? If so, how does…

量子物理 · 物理学 2018-02-27 Ding Jia

We review the theory of entanglement measures, concentrating mostly on the finite dimensional two-party case. Topics covered include: single-copy and asymptotic entanglement manipulation; the entanglement of formation; the entanglement…

量子物理 · 物理学 2011-07-06 Martin B. Plenio , S. Virmani

Quantum information theory and quantum computing are theoritical basis of quantum computers. Thanks to entanglement, quantum mechanical systems are provisioned to realize many information processing problems faster than classical…

量子物理 · 物理学 2017-04-19 Volkan Erol

We study two operational approaches to quantifying incompatibility that depart significantly from the well known entropic uncertainty relation (EUR) formalism. Both approaches result in incompatibility measures that yield non-zero values…

量子物理 · 物理学 2015-10-15 Srijita Kundu , Kaustubh Wagh , Prabha Mandayam

Monogamy of entanglement essentially characterizes the entanglement distributions among the subsystems. Generally it is given by summation-form monogamy inequalities. In this paper, we present the product-form monogamy inequalities…

量子物理 · 物理学 2025-12-09 Wen Zhou , Zhong-Xi Shen , Hong-Xing Wu , Zhi-Xi Wang , Shao-Ming Fei

Several ways have been proposed in the literature to define a coherence measure based on Tsallis relative entropy. One of them is defined as a distance between a state and a set of incoherent states with Tsallis relative entropy taken as a…

量子物理 · 物理学 2019-12-12 Anna Vershynina

Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

We demonstrate by an explicit model calculation that the decay of entanglement of two two-state systems (two qubits) is governed by the product of the factors that measure the degree of decoherence of each of the qubits, subject to…

量子物理 · 物理学 2010-10-12 D. Tolkunov , V. Privman , P. K. Aravind

Covariance matrices are a useful tool to investigate correlations and entanglement in quantum systems. They are widely used in continuous variable systems, but recently also for finite dimensional systems powerful entanglement criteria in…

量子物理 · 物理学 2010-04-22 Oleg Gittsovich , Otfried Gühne