Local cloning of Bell states and distillable entanglement

Ghosh, Sibasish; Kar, Guruprasad; Roy, Anirban

doi:10.1103/physreva.69.052312

Cited by 20 publications

(35 citation statements)

References 16 publications

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“…where A is a local unitary operator defined at (10). This protocol is actually entanglement distillation protocol deriving one e-bits for all mixed state.…”

Section: B Local Copying Of Mixed States and Entanglement Distillationmentioning

confidence: 99%

“…Thus, it is interesting from both viewpoints of entanglement theory and cloning theory to extend cloning problem to the bipartite entangled setting. This is the original motivation of cloning problems with LOCC restriction [9,10].…”

Section: The Local Copying Problemmentioning

confidence: 99%

“…If we allow to use three entangled states as a resource, we can always locally copy any orthogonal set of maximally entangled states by use of quantum teleportation [4], (For the case when we share two entangled states as resources, see [10]. )…”

Section: The Local Copying Problemmentioning

confidence: 99%

“…After this work, there have been many results of the local discrimination problems [21,22,23,24,25,26,27]. Recently, as a similar problem to local discrimination, a new problem, "local copying", was also raised [9,10], as a problem to study a cloning of unknown entangled states under the LOCC restriction with only minimum entanglement resource.…”

Section: Introductionmentioning

confidence: 99%

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Local copying and local discrimination as a study for nonlocality of a set of states

Owari

Hayashi

2006

Phys. Rev. A

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We focus on the non-locality concerning local copying and local discrimination, especially for a set of orthogonal maximally entangled states in prime dimensional systems, as a study of non-locality of a set of states. As a result, for such a set, we completely characterize deterministic local copiability and show that local copying is more difficult than local discrimination. From these result, we can conclude that lack algebraic symmetry causes extra non-locality of a set.

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“…where A is a local unitary operator defined at (10). This protocol is actually entanglement distillation protocol deriving one e-bits for all mixed state.…”

Section: B Local Copying Of Mixed States and Entanglement Distillationmentioning

confidence: 99%

Section: The Local Copying Problemmentioning

confidence: 99%

Section: The Local Copying Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Local copying and local discrimination as a study for nonlocality of a set of states

Owari

Hayashi

2006

Phys. Rev. A

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“…The impossibility of locally cloning a known entangled state has been pointed out and used to define an entanglement measure [14]. Cloning of orthogonal entangled states with local operations and classical communication (LOCC), under the assumption of sharing an entangled blank state has been studied in [15]. This paper addresses the problem of finding the optimal LOCC operation for cloning an unknown entangled state, with a fixed degree of entanglement.…”

Section: Introductionmentioning

confidence: 99%

Usefulness of classical communication for local cloning of entangled states

et al. 2006

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We solve the problem of the optimal cloning of pure entangled two-qubit states with a fixed degree of entanglement using local operations and classical communication. We show, that amazingly, classical communication between the parties can improve the fidelity of local cloning if and only if the initial entanglement is higher than a certain critical value. It is completely useless for weakly entangled states. We also show that bound entangled states with positive partial transpose are not useful as a resource to improve the best local cloning fidelity.

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Local Copying of d×d-dimensional Partially Entangled Pure States

Zui-yi

2009

Int J Theor Phys

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We examine the problem of copying a set of orthogonal, entangled partially (nonmaximally) bipartite pure states with an entangled blank state under the restriction to local operations and classical communication (LOCC), and show a protocol for copying these states by LOCC. The necessary and sufficient condition for locally copying partially entangled pure states is then represented. As a result, we find that the problem of local copying these entangled states can be regarded to some extent as that of catalytic transformation between them by LOCC.

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Local cloning of Bell states and distillable entanglement

Abstract: The necessary and sufficient amount of entanglement required for cloning of orthogonal Bell states by local operation and classical communication is derived, and using this result, we provide here some additional examples of reversible, as well as irreversible states.

Cited by 20 publications

References 16 publications

Local copying and local discrimination as a study for nonlocality of a set of states

Local copying and local discrimination as a study for nonlocality of a set of states

Usefulness of classical communication for local cloning of entangled states

Local Copying of d×d-dimensional Partially Entangled Pure States

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