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Local state transformation is the problem of transforming an arbitrary number of copies of a bipartite resource state to a bipartite target state under local operations. That is, given two bipartite states, is it possible to transform an…

Quantum Physics · Physics 2024-12-31 Payam Delgosha , Salman Beigi

The efficacies of maximally and that of non-maximally entangled mixed states as teleportation channels have been studied. A new class of non-maximally entangled mixed states have been proposed also. Their advantages as quantum teleportation…

Quantum Physics · Physics 2020-07-22 Sovik Roy

Ask how the quantum compression of ensembles of pure states is affected by the availability of entanglement, and in settings where the encoder has access to side information. We find the optimal asymptotic quantum rate and the optimal…

Quantum Physics · Physics 2020-05-22 Zahra Baghali Khanian , Andreas Winter

We present a measure of entanglement that can be computed effectively for any mixed state of an arbitrary bipartite system. We show that it does not increase under local manipulations of the system, and use it to obtain a bound on the…

Quantum Physics · Physics 2009-11-07 G. Vidal , R. F. Werner

We discuss conditional Renyi and Tsallis entropies for bipartite quantum systems of finite dimension. We investigate the relation between the positivity of conditional entropies and entanglement properties. It is in particular shown that…

Quantum Physics · Physics 2009-11-07 Karl Gerd H. Vollbrecht , Michael M. Wolf

We propose a new protocol of \textit{universal} entanglement concentration, which converts many copies of an \textit{unknown} pure state to an \textit{% exact} maximally entangled state. The yield of the protocol, which is outputted as a…

Quantum Physics · Physics 2013-05-29 Keiji Matsumoto , Masahito Hayashi

Entanglement bits or ``ebits'' have been proposed as a quantitative measure of a fundamental resource in quantum information processing. For such an interpretation to be valid, it is important to show that the same number of ebits in…

Quantum Physics · Physics 2009-10-31 Hoi-Kwong Lo , Sandu Popescu

A necessary and sufficient condition of the possibility of a deterministic local operations and classical communication (LOCC) transformation of three-qubit pure states is given. The condition shows that the three-qubit pure states are a…

Quantum Physics · Physics 2015-05-20 Hiroyasu Tajima

We analyze how entanglement between two components of a bipartite system behaves under the action of local channels of the form $\cE\otimes\cI$. We show that a set of maximally entangled states is by the action of $\cE\otimes\cI$…

Quantum Physics · Physics 2009-11-11 Mario Ziman , Vladimir Buzek

Computing the exact rate at which entanglement can be distilled from noisy quantum states is one of the longest-standing questions in quantum information. We give an exact solution for entanglement distillation under the set of dually…

Quantum Physics · Physics 2024-11-25 Ludovico Lami , Bartosz Regula

Quantum teleportation with additional a priori information about the input state achieves higher fidelity than teleportation of a completely unknown state. However, perfect teleportation of two non-orthogonal input states requires the same…

Quantum Physics · Physics 2009-10-31 L. Henderson , L. Hardy , V. Vedral

We determine all $2\times 2$ quantum states that can serve as useful catalysts for a given probabilistic entanglement transformation, in the sense that they can increase the maximal transformation probability. When higher-dimensional…

Quantum Physics · Physics 2009-11-10 Yuan Feng , Runyao Duan , Mingsheng Ying

The work is intended to represent some interesting and apparently peculiar features of entangled system in both pure as well as mixed states level. In the pure state level, we are largely concerned about the existence and characteristics of…

Quantum Physics · Physics 2008-05-15 Indrani Chattopadhyay

We present a one-shot method for preparing pure entangled states between a sender and a receiver at a minimal cost of entanglement and quantum communication. In the case of preparing unentangled states, an earlier paper showed that a…

Quantum Physics · Physics 2007-05-23 Anura Abeyesinghe , Patrick Hayden , Graeme Smith , Andreas Winter

The maximal overlap with the fully separable state for the multipartite entangled pure state with translational invariance is studied explicitly by some exact and numerical evaluations, focusing on the one-dimensional qubit system and some…

Quantum Physics · Physics 2015-05-19 H. T. Cui , Di Yuan , J. L. Tian

Based on set theoretic ordering properties, a general formulation for constructing a pair of convertibility monotones, which are generalizations of distillable entanglement and entanglement cost, is presented. The new pair of monotones do…

Quantum Physics · Physics 2007-05-23 Masaki Owari , Keiji Matsumoto , Mio Murao

Quantum technologies exploiting bipartite entanglement could be made more efficient by using states having the minimum amount of energy for a given entanglement degree. Here, we study how to generate these states in the case of a bipartite…

Quantum Physics · Physics 2023-09-12 Nicolò Piccione , Benedetto Militello , Anna Napoli , Bruno Bellomo

Quantities invariant under local unitary transformations are of natural interest in the study of entanglement. This paper deduces and studies a particularly simple quantity that is constructed from a combination of two standard permutations…

Quantum Physics · Physics 2021-08-12 Udaysinh T. Bhosale , Arul Lakshminarayan

The ability to teleport entanglement through maximally entangled mixed states as defined by concurrence and linear entropy is studied. We show how the teleported entanglement depends on the quality of the quantum channel used, as defined…

Quantum Physics · Physics 2017-10-03 S. Campbell , M. Paternostro

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…

Quantum Physics · Physics 2024-02-16 A. Bernal , J. A. Casas , J. M. Moreno