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Related papers: Bound entanglement provides convertibility of pure…

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Entangled states that cannot be distilled to maximal entanglement are called bound entangled and they are often viewed as too weak to break the limitations of classical models. Here, we show a strongly contrasting result: that bound…

Quantum Physics · Physics 2026-03-09 Armin Tavakoli , Carles Roch i Carceller , Lucas Tendick , Tamás Vértesi

We prove, in a multipartite setting, that it's always feasible to exactly transform a genuinely $m$-partite entangled state with sufficient many copies to any other $m$-partite state via local quantum operation and classical communication.…

Quantum Physics · Physics 2007-05-23 Zhengfeng Ji , Runyao Duan , Mingsheng Ying

We consider asymptotic convertibility of an arbitrary sequence of bipartite pure states into another by local operations and classical communication (LOCC). We adopt an information-spectrum approach to address cases where each element of…

Quantum Physics · Physics 2018-03-14 Yong Jiao , Eyuri Wakakuwa , Tomohiro Ogawa

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

We present a practical classification scheme for the four-partite entangled states under stochastic local operations and classical communication (SLOCC). By transforming a four-partite state into a triple-state set composed of two…

Quantum Physics · Physics 2017-08-02 S. M. Zangi , Jun-Li Li , Cong-Feng Qiao

Suppose that two distant parties Alice and Bob share an entangled state $\rho_{AB}$, and they want to exchange the subsystems of $\rho_{AB}$ by local operations and classical communication (LOCC). In general, this LOCC task (i.e. the LOCC…

Quantum Physics · Physics 2015-09-30 Takaya Ikuto , Satoshi Ishizaka

We investigate the asymptotic rates of entanglement transformations for bipartite mixed states by local operations and classical communication (LOCC). We analyse the relations between the rates for different transitions and obtain simple…

Quantum Physics · Physics 2009-10-19 Michal Horodecki , Aditi Sen De , Ujjwal Sen

We investigate the physically allowed probabilities for transforming one N-partite W-class state to another by means of local operations assisted with classical communication (LOCC). Recently, Kintas and Turgut have obtained an upper bound…

Quantum Physics · Physics 2011-08-16 Wei Cui , Eric Chitambar , Hoi-Kwong Lo

Characterizing the transformation and classification of multipartite entangled states is a basic problem in quantum information. We study the problem under two most common environments, local operations and classical communications (LOCC),…

Quantum Physics · Physics 2011-03-02 Lin Chen , Masahito Hayashi

An optimal local conversion strategy between any two pure states of a bipartite system is presented. It is optimal in that the probability of success is the largest achievable if the parties which share the system, and which can communicate…

Quantum Physics · Physics 2009-10-31 Guifre Vidal

We consider a single copy of a pure four-partite state of qubits and investigate its behaviour under the action of stochastic local quantum operations assisted by classical communication (SLOCC). This leads to a complete classification of…

Quantum Physics · Physics 2009-11-07 F. Verstraete , J. Dehaene , B. De Moor , H. Verschelde

Multipartite quantum entanglement serves as a resource for spatially separated parties performing distributed quantum information processing. Any multipartite entangled state can be generated from appropriately distributed bipartite…

Quantum Physics · Physics 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , Barbara Kraus

The distribution of typical bipartite pure states is studied within the framework of state transformation via local operation and classical communication (LOCC). We report the statistics of comparable and incomparable states in different…

Quantum Physics · Physics 2022-11-14 Rivu Gupta , Arghya Maity , Shiladitya Mal , Aditi Sen De

In this paper, we study the entanglement transformation rate between multipartite states under stochastic local operations and classical communication (SLOCC). Firstly, we show that the entanglement transformation rate from…

Quantum Physics · Physics 2014-04-22 Nengkun Yu , Cheng Guo , Runyao Duan

I present a four-party unlockable bound-entangled state, that is, a four-party quantum state which cannot be written in a separable form and from which no pure entanglement can be distilled by local quantum operations and classical…

Quantum Physics · Physics 2009-11-06 John A. Smolin

Incomparability of pure bipartite entangled states under deterministic LOCC is a very strange phenomena. We find two possible ways of getting our desired pure entangled state which is incomparable with the given input state, by collective…

Quantum Physics · Physics 2007-05-23 Indrani Chattopadhyay , Debasis Sarkar

Mutual convertibility of bound entangled states under local quantum operations and classical communication (LOCC) is studied. We focus on states associated with unextendible product bases (UPB) in a system of three qubits. A complete…

Quantum Physics · Physics 2007-05-23 Sergey Bravyi

Any deterministic bipartite entanglement transformation involving finite copies of pure states and carried out using local operations and classical communication (LOCC) results in a net loss of entanglement. We show that for almost all such…

Quantum Physics · Physics 2009-11-07 Somshubhro Bandyopadhyay , Vwani Roychowdhury , Farrokh Vatan

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.…

Quantum Physics · Physics 2025-08-01 Beatrix C. Hiesmayr , Christopher Popp , Tobias C. Sutter

We consider the transformation of multisystem entangled states by local quantum operations and classical communication. We show that, for any reversible transformation, the relative entropy of entanglement for two parties must remain…

Quantum Physics · Physics 2007-05-23 N. Linden , S. Popescu , B. Schumacher , M. Westmoreland