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Reversible state transformations under entanglement non-increasing operations give rise to entanglement measures. It is well known that asymptotic local operations and classical communication (LOCC) are required to get a simple operational…

量子物理 · 物理学 2013-05-29 Ashish V. Thapliyal , John A. Smolin

We study exact, non-deterministic conversion of multipartite pure quantum states into one-another via local operations and classical communication (LOCC) and asymptotic entanglement transformation under such channels. In particular, we…

量子物理 · 物理学 2018-08-17 Asger Kjærulff Jensen , Péter Vrana

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

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 focus on the general theory of entanglement swapping, including entanglement swapping of pure and mixed states. We also study the theory of entangled swapping chains, which can be regarded as an application of entangled swapping. For…

量子物理 · 物理学 2025-12-09 Zhaoxu Ji , Huanguo Zhang

Without additional resources, it is often impossible to transform one entangled quantum state into another with local quantum operations and classical communication. Jonathan and Plenio [Phys. Rev. Lett. 83, 3566(1999)] presented an…

量子物理 · 物理学 2007-05-23 Xiaoming Sun , Runyao Duan , Mingsheng Ying

Exact and approximate formulas for the upper bound of the relative energy difference of two Gaussian states with the fixed fidelity between them are derived. The reciprocal formulas for the upper bound of the fidelity for the fixed value of…

量子物理 · 物理学 2015-06-03 V. V. Dodonov

The trade-off relation between the rate and the strong converse exponent for probabilistic asymptotic entanglement transformations between pure multipartite states can in principle be characterised in terms of a class of entanglement…

量子物理 · 物理学 2023-09-21 Dávid Bugár , Péter Vrana

I show that two distant parties can transform pure entangled states to arbitrary pure states by stochastic local operations and classical communication (SLOCC) at the single copy level, if they share bound entangled states. This is the…

量子物理 · 物理学 2007-05-23 Satoshi Ishizaka

Given a bipartite quantum state (in arbitrary dimension) and a decomposition of it as a superposition of two others, we find bounds on the entanglement of the superposition state in terms of the entanglement of the states being superposed.…

量子物理 · 物理学 2009-11-11 Noah Linden , Sandu Popescu , John A. Smolin

Entanglement of formation quantifies the entanglement of a state in terms of the entropy of entanglement of the least entangled pure state needed to prepare it. An analytical expression for this measure exists only for special cases, and…

量子物理 · 物理学 2019-05-29 Spyros Tserkis , Sho Onoe , Timothy C. Ralph

Fully entangled fraction is a definition for bipartite states, which is tightly related to bipartite maximally entangled states, and has clear experimental and theoretical significance. In this work, we generalize it to multipartite case,…

量子物理 · 物理学 2016-02-17 Jianwei Xu

With bichromatic fields it is possible to deterministically produce entangled states of trapped ions. In this paper we present a unified analysis of this process for both weak and strong fields, for slow and fast gates. Simple expressions…

量子物理 · 物理学 2009-11-06 Anders Sorensen , Klaus Molmer

In this paper we present the necessary and sufficient conditions of separability for multipartite pure states. These conditions are very simple, and they don't require Schmidt decomposition or tracing out operations. We also give a…

量子物理 · 物理学 2012-05-08 D. Li , H. Huang , X. Li

In quantum operations, probabilities characterise both the degree of the success of a state transformation and, as density operator eigenvalues, the degree of mixedness of the final state. We give a unified treatment of pure-to-pure state…

量子物理 · 物理学 2009-11-07 Anthony Chefles

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

Monogamy of bipartite correlations leads, for arbitrary pure multi-qubit states, to simple conditions able to indicate various types of multipartite entanglement by being capable to exclude the possibility of k-separability.

量子物理 · 物理学 2013-04-09 Marcin Markiewicz , Wieslaw Laskowski , Tomasz Paterek , Marek Zukowski

We study robustness of bipartite entangled states that are positive under partial transposition (PPT). It is shown that almost all PPT entangled states are unconditionally robust, in the sense, both inseparability and positivity are…

量子物理 · 物理学 2009-11-13 Somshubhro Bandyopadhyay , Sibasish Ghosh , Vwani Roychowdhury

Entanglement in incoherent mixtures of pure states of two qubits is considered via the concurrence measure. A set of pure states is optimal if the concurrence for any mixture of them is the weighted sum of the concurrences of the generating…

量子物理 · 物理学 2011-08-11 K. V. Shuddhodan , M. S. Ramkarthik , Arul Lakshminarayan

In this paper, based on the classfication of multiparticle states and the original definition of semiseparability, we give out the redefinition of semiseparability and inseparability of multiparticle states. By virtue of the redefinition,…

量子物理 · 物理学 2009-11-10 Chang-shui Yu , He-shan Song