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With any state of a multipartite quantum system its separability polytope is associated. This is an algebro-topological object (non-trivial only for mixed states) which captures the localisation of entanglement of the state. Particular…

量子物理 · 物理学 2015-06-26 Roman R. Zapatrin

We present local invariants of multi-partite pure or mixed states, which can be easily calculated and have a straight-forward physical meaning. As an application, we derive a new entanglement criterion for arbitrary mixed states of $n$…

量子物理 · 物理学 2007-05-23 Hans Aschauer , John Calsamiglia , Marc Hein , Hans J. Briegel

Multipartite entanglement is indispensable in the implementation of quantum technologies and the fundamental test of quantum mechanics. Here we study how the W state and W-like state may be generated in a quantum-dot array by controlling…

量子物理 · 物理学 2021-06-14 Yen-Ju Chen , Chih-Sung Chuu

A concern has been expressed that ``the Jaynes principle can produce fake entanglement'' [R. Horodecki et al., Phys. Rev. A {\bf 59}, 1799 (1999)]. In this paper we discuss the general problem of distilling maximally entangled states from…

量子物理 · 物理学 2009-11-06 Todd A. Brun , Carlton M. Caves , Ruediger Schack

In quantum systems, entanglement corresponds to nonclassical correlation of nonlocal observables. Thus, entanglement (or, to the contrary, separability) of a given quantum state is not uniquely determined by properties of the state, but may…

量子物理 · 物理学 2012-05-21 Iacopo Pozzana

There are various physical scenarios in which one can only implement operations with a certain symmetry. Under such restriction, a system in a symmetry-breaking state can be used as a catalyst, e.g. to prepare another system in a desired…

量子物理 · 物理学 2016-08-29 Iman Marvian , Seth Lloyd

The ability to reach a maximally entangled state from a separable one through the use of a two-qubit unitary operator is analyzed for mixed states. This extension from the known case of pure states shows that there are at least two families…

量子物理 · 物理学 2018-04-06 Zhe Guan , Huan He , Yong-Jian Han , Chuan-Feng Li , Fernando Galve , Guang-Can Guo

Bipartite entanglement purification is the conversion of copies of weakly entangled pairs shared between two separated parties into a smaller number of strongly entangled shared pairs using only local operations and classical communication.…

量子物理 · 物理学 2025-11-14 Matthew Barber , Stefano Pirandola

A system of three or four particle can be entangled in a number of different ways. It may be the case that only subsets of the particles are entangled, and these subsets are not entangled with each other. It may also be the case that the…

量子物理 · 物理学 2026-04-02 Mark Hillery

In the context of quantifying entanglement we study those functions of a multipartite state which do not increase under the set of local transformations. A mathematical characterization of these monotone magnitudes is presented. They are…

量子物理 · 物理学 2015-06-26 Guifre Vidal

If we want to transform the quantum state of a system to another using local measurement processes, what is the probability of success? This probability is bounded by quantifying entanglement in both the states. In this paper, we construct…

量子物理 · 物理学 2026-03-18 Abhijit Gadde , Shraiyance Jain , Harshal Kulkarni

Quantum entanglement of pure states of a bipartite system is defined as the amount of local or marginal ({\em i.e.}referring to the subsystems) entropy. For mixed states this identification vanishes, since the global loss of information…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

We studied pure state transformations using local operations assisted by finitely many rounds of classical communication ($LOCC_{\mathbb{N}}$) in C. Spee, J.I. de Vicente, D. Sauerwein, B. Kraus, arXiv:1606.04418 (2016). Here, we first of…

量子物理 · 物理学 2017-02-01 J. I. de Vicente , C. Spee , D. Sauerwein , B. Kraus

We present a theory of entanglement transformations of Gaussian pure states with local Gaussian operations and classical communication. This is the experimentally accessible set of operations that can be realized with optical elements such…

量子物理 · 物理学 2007-05-23 G. Giedke , J. Eisert , J. I. Cirac , M. B. Plenio

Transformations involving only local operations assisted with classical communication are investigated for multipartite entangled pure states having tensor rank 2. All necessary and sufficient conditions for the possibility of…

量子物理 · 物理学 2010-01-22 S. Turgut , Y. Gul , N. K. Pak

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

One spin excitation states are involved in the transmission of quantum states and entanglement through a quantum spin chain, the localization properties of these states are crucial to achieve the transfer of information from one extreme of…

量子物理 · 物理学 2015-05-14 Analia Zwick , Omar Osenda

Catalytic coherence transformations allow the otherwise impossible state transformations using only incoherent operations with the aid of an auxiliary system with finite coherence which is not being consumed in anyway. Here we find the…

量子物理 · 物理学 2016-04-21 Kaifeng Bu , Uttam Singh , Junde Wu

A quantum telecloning process combining quantum teleportation and optimal quantum cloning from one input to M outputs is presented. The scheme relies on the establishment of particular multiparticle entangled states, which function as…

量子物理 · 物理学 2011-08-11 M. Murao , D. Jonathan , M. B. Plenio , V. Vedral

We demonstrate to what extent many copies of maximally entangled two-qubit states enable for generating a greater amount of certified randomness than that can be certified from a single copy. Although it appears that greater the dimension…

量子物理 · 物理学 2023-01-02 Shyam Sundar Mahato , A. K. Pan