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In this paper, we find the necessary and sufficient condition for the maximal entanglement of the state, $ |\psi>=\mu|\alpha>|\beta>+\lambda|\alpha>|\delta>+ \rho|\gamma>|\beta>+\nu|\gamma>|\delta>,$ constructed by linearly independent…

量子物理 · 物理学 2011-04-28 G. Najarbashi , Y. Maleki

As an important quantum resource, quantum coherence play key role in quantum information processing. It is often concerned with manipulation of families of quantum states rather than individual states in isolation. Given two pairs of…

量子物理 · 物理学 2020-12-01 Zhaofang Bai , Shuanping Du

Superadditivity relations characterize the distributions of coherence in multipartite quantum systems. In this work, we investigate the superadditivity relations related to the $l_1$-norm of coherence $C_{l_1}$ in multiqubit quantum…

量子物理 · 物理学 2021-05-03 Ya-Ya Ren , Zhi-Xi Wang , Shao-Ming Fei

The possibility of the existence of states with a spontaneous interlayer phase coherence in multilayer electron systems in a high perpendicular to the layers magnetic field is investigated. It is shown that phase coherence can be…

介观与纳米尺度物理 · 物理学 2009-11-10 S. I. Shevchenko , D. V. Fil , A. A. Yakovleva

Entanglement concurrence has been widely used for featuring entanglement in quantum experiments. As an entanglement monotone it is related to specific quantum Tsallis entropy. Our goal in this paper is to propose a new parameterized…

量子物理 · 物理学 2021-05-26 Xue Yang , Ming-Xing Luo , Yan-Han Yang , Shao-Ming Fei

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say…

量子物理 · 物理学 2009-11-06 W. Dür , G. Vidal , J. I. Cirac

Various measures have been suggested recently for quantifying the coherence of a quantum state with respect to a given basis. We first use two of these, the l_1-norm and relative entropy measures, to investigate tradeoffs between the…

量子物理 · 物理学 2015-10-08 Shuming Cheng , Michael J. W. Hall

Various parameterizations for the orbits under local unitary transformations of three-qubit pure states are analyzed. The interconvertibility, symmetry properties, parameter ranges, calculability and behavior under measurement are looked…

量子物理 · 物理学 2009-11-07 Robert Gingrich

Experimental determination of entanglement is important not only to characterize the state and use it in quantum information, but also in understanding complicated phenomena such as phase transitions. In this paper we show that in many…

量子物理 · 物理学 2016-01-20 Gaurav Chaudhary , V. Ravishankar

We establish a unified view to the polygamy of multi-party quantum entanglement in arbitrary dimensions. Using quantum Tsallis-$q$ entropy, we provide a one-parameter class of polygamy inequalities of multi-party quantum entanglement. This…

量子物理 · 物理学 2017-01-04 Jeong San Kim

We discuss the relationship between entropic uncertainty relations and entanglement. We present two methods for deriving separability criteria in terms of entropic uncertainty relations. Especially we show how any entropic uncertainty…

量子物理 · 物理学 2009-11-10 Otfried Guehne , Maciej Lewenstein

In this paper we formulate a kind of new geometric measure of quantum correlations. This new measure is in terms of the quantum Tsallis relative entropy and can be viewed as a one-parameter extension quantum discordlike measure that…

量子物理 · 物理学 2018-12-03 Weijing Li

Three entanglement concentration protocols (ECPs) are proposed. The first ECP and a modified version of that are shown to be useful for the creation of maximally entangled cat and GHZ-like states from their non-maximally entangled…

量子物理 · 物理学 2022-06-07 Chitra Shukla , Anindita Banerjee , Anirban Pathak

All mixed states of two qubits can be brought into normal form by the action of SLOCC operations of the kind $\rho'=(A\otimes B)\rho(A\otimes B)^\dagger$. These normal forms can be obtained by considering a Lorentz singular value…

量子物理 · 物理学 2009-11-07 Frank Verstraete , Jeroen Dehaene , Bart De Moor

Entanglement of four qubit pure states defined by the $\eta$-trigonometric functions is studied. We analyze the behavior of two recently proposed symmetric entanglement monotones on the chosen $n=4$ qubit states .

量子物理 · 物理学 2009-02-23 Andrzej M. Frydryszak

We numerically investigate entropic Bell inequalities for a pair of entangled qutrits using information-theoretic distances. We show that for this class of inequalities Tsallis entropy is more suitable than Shannon as it reveals…

量子物理 · 物理学 2015-06-23 Marek Wajs , Pawel Kurzynski , Dagomir Kaszlikowski

We examine the SLOCC classification of the (non-normalized) pure states of four qubits obtained by F. Verstraete et al. The rigorous proofs of their basic results are provided and necessary corrections implemented. We use Invariant Theory…

量子物理 · 物理学 2009-09-01 Oleg Chterental , Dragomir Z. Djokovic

Entanglement is one of the key resources required for quantum computation, so experimentally creating and measuring entangled states is of crucial importance in the various physical implementations of a quantum computer. In superconducting…

Entanglement has been studied extensively for unveiling the mysteries of non-classical correlations between quantum systems. In the bipartite case, there are well known measures for quantifying entanglement such as concurrence, relative…

量子物理 · 物理学 2015-04-30 Volkan Erol , Fatih Ozaydin , Azmi Ali Altintas

Due to some ambiguity in defining mutual Tsallis entropy in the classical probability theory, its generalization to quantum theory is discussed and, as a consequence, two types of generalized quantum discord, called $q$-discords, are…

量子物理 · 物理学 2012-06-04 Jacek Jurkowski