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arXiv:quant-ph/0311013

Generalized protocol for distribution and concentration of Quantum information

Mukhopadhyay, Partha

Published Nov 4, 2003• 0 citations
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Abstract

Alice can distribute a quantum state $|ϕ>$ to $N$ spatially separated parties(say Bobs) by telecloning. It is possible for Charlie to reconstruct the quantum state to him if he shares same kind of telecloning quantum channel with Bobs using only LOCC. For N=3 reconstruction can be done faithfully using Smolin's 4 party unlockable bound entangled state as shared channel. In this note we investigate, in multiparty setting, the general structure of quantum channel and protocol by which faithful distribution and concentration of quantum information can be done.

DOI
10.48550/arxiv.quant-ph/0311013

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Alice can distribute a quantum state ∣ϕ>|ϕ>∣ϕ> to NNN spatially separated parties(say Bobs) by telecloning. It is possible for Charlie to reconstruct the quantum state to him if he shares same kind of telecloning quantum channel with Bobs using only LOCC. For N=3 reconstruction can be done faithfully using Smolin's 4 party unlockable bound entangled state as shared channel. In this note we investigate, in multiparty setting, the general structure of quantum channel and protocol by which faithful distribution and concentration of quantum information can be done.
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We present a generalization of quantum teleportation that distributes quantum information from a sender's d-level particle to No{N}_{o}No​ particles held by remote receivers via an initially shared multiparticle entangled state. This entangled state functions as a multiparty quantum information distribution channel between the sender and the receivers. The structure of the distribution channel determines how quantum information is processed. Our generalized teleportation scheme allows multiple receivers at arbitrary locations, and can be used for applications such as optimal quantum information broadcasting, asymmetric telecloning, and quantum error correction.
Telecloning and its reverse process, referred to as remote information concentration (RIC), have attracted considerable interest because of their potential applications in quantum-information processing. We here present a general scheme for RIC in ddd-level systems (qudits), in which the quantum information initially distributed in many spatially separated qudits can be remotely and deterministically concentrated to a single qudit via an entangled channel without performing any global operations. We show that the entangled channel of RIC can be different types of entangled states, including mixed states as well as pure ones. More interestingly, these mixed states include a bound entangled state which has a similar form to the generalized Smolin state but has different characteristics from it. We also show that there exists a multipartite entangled state which can be used to implement both telecloning and RIC in the two-level system. Our many-to-one RIC protocol could be slightly modified to perform some types of many-to-many RIC tasks.