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We investigate the asymptotic equipartition property (AEP) in the context of multipartite entanglement measures on pure states. Specifically, we formulate AEP for subadditive entanglement measures that admit certain weak conditions. This is…

量子物理 · 物理学 2025-09-29 Dávid Bugár

We study bipartite entanglement in a general one-particle state, and find that the linear entropy, quantifying the bipartite entanglement, is directly connected to the paricitpation ratio, charaterizing the state localization. The more…

量子物理 · 物理学 2009-11-10 Haibin Li , Xiaoguang Wang , Bambi Hu

We study the separability of permutationally symmetric quantum states. We show that for bipartite symmetric systems most of the relevant entanglement criteria coincide. However, we provide a method to generate examples of bound entangled…

量子物理 · 物理学 2009-05-12 Geza Toth , Otfried Gühne

I study the three parameters bipartite quantum Gaussian state called squeezed asymmetric thermal state, calculate Gaussian entanglement of formation analytically and the up bound of relative entropy of entanglement, compare them with…

量子物理 · 物理学 2007-05-23 Li-zhen Jiang

A bipartite state which is secretly chosen from a finite set of known entangled pure states cannot be immediately useful in standard quantum information processing tasks. To effectively make use of the entanglement contained in this unknown…

量子物理 · 物理学 2015-05-14 Yangjia Li , Runyao Duan , Mingsheng Ying

For a given pure state of a composite quantum system we analyze the product of its projections onto a set of locally orthogonal separable pure states. We derive a bound for this product analogous to the entropic uncertainty relations. For…

量子物理 · 物理学 2015-05-28 Łukasz Rudnicki , Paweł Horodecki , Karol Życzkowski

Ordering physical states is the key to quantifying some physical property of the states uniquely. Bipartite pure entangled states are totally ordered under local operations and classical communication (LOCC) in the asymptotic limit and…

量子物理 · 物理学 2010-05-17 Fumiaki Morikoshi , Marcelo Franca Santos , Vlatko Vedral

We investigate entanglement measures in the infinite-dimensional regime. First, we discuss the peculiarities that may occur if the Hilbert space of a bi-partite system is infinite-dimensional, most notably the fact that the set of states…

量子物理 · 物理学 2009-11-07 Jens Eisert , Christoph Simon , Martin B. Plenio

We discuss the relation between fermion entanglement and bipartite entanglement. We first show that an exact correspondence between them arises when the states are constrained to have a definite local number parity. Moreover, for arbitrary…

量子物理 · 物理学 2017-06-21 N. Gigena , R. Rossignoli

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

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

We show that the classification of bi-partite pure entangled states when local quantum operations are restricted yields a structure that is analogous in many respects to that of mixed-state entanglement. Specifically, we develop this…

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Andrew C. Doherty , Robert W. Spekkens , H. M. Wiseman

We develop an original approach for the quantitative characterisation of the entanglement properties of, possibly mixed, bi- and multipartite quantum states of arbitrary finite dimension. Particular emphasis is given to the derivation of…

量子物理 · 物理学 2009-11-11 Florian Mintert , Andre R. R. Carvalho , Marek Kus , Andreas Buchleitner

I propose the multi-mode squeezed thermal state based on the multi-mode pure entangled state. The correlation matrix of the state is characterized by two parameters. I then analysis the separable condition for this state, and calculating…

量子物理 · 物理学 2009-11-10 Xiao-yu Chen

We study rates asymptotic of transformations between entangled states by local operations and classical communication and a sublinear amount of quantum communication. It is known that additive asymptotically continuous entanglement measures…

量子物理 · 物理学 2021-07-20 Péter Vrana

We prove lower bounds for the entanglement of formation and the squashed entanglement for any a bipartite density matrix in terms of the conditional entropy of the bipartite state with respect to either of its partial traces, and prove that…

量子物理 · 物理学 2015-06-04 Eric A. Carlen , Elliott H. Lieb

The determination of genuine entanglement is a central problem in quantum information processing. We investigate the tripartite state as the tensor product of two bipartite entangled states by merging two systems. We show that the…

量子物理 · 物理学 2021-02-03 Yize Sun , Lin Chen

Quantum entanglement and quantum entropy are crucial concepts in the study of multipartite quantum systems. In this work we show how the notion of concurrence vector, re-expressed in a particularly useful form, provides new insights and…

量子物理 · 物理学 2024-02-16 A. Bernal , J. A. Casas , J. M. Moreno

Bound entanglement is a special form of quantum entanglement that cannot be used for distillation, i.e., the local transformation of copies of arbitrarily entangled states into a smaller number of approximately maximally entangled states.…

量子物理 · 物理学 2025-08-01 Beatrix C. Hiesmayr , Christopher Popp , Tobias C. Sutter

We derive an explicit analytic estimate for the entanglement of a large class of bipartite quantum states which extends into bound entanglement regions. This is done by using an efficiently computable concurrence lower bound, which is…