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arXiv:quant-ph/0012110

Entanglement Teleportation Through Cat-like States

Sibasish Ghosh A, Guruprasad Kar, Roy, Anirban, Sarkar, Debasis, Ujjwal Sen

Published Dec 20, 2000• 0 citations
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Abstract

We first consider teleportation of entangled states shared between Claire and Alice to Bob1 and Bob2 when Alice and the two Bobs share a single copy of a GHZ-class state and where {\it all} the four parties are at distant locations. We then generalize this situation to the case of teleportation of entangled states shared between Claire1, Claire2, ....., Claire(N-1) and Alice to Bob1, Bob2, ....., BobN when Alice and the N Bobs share a single copy of a Cat-like state and where again {\it all} the 2N parties are at distant locations.

DOI
10.48550/arxiv.quant-ph/0012110

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We first consider teleportation of entangled states shared between Claire and Alice to Bob1 and Bob2 when Alice and the two Bobs share a single copy of a GHZ-class state and where {\it all} the four parties are at distant locations. We then generalize this situation to the case of teleportation of entangled states shared between Claire1, Claire2, ....., Claire(N-1) and Alice to Bob1, Bob2, ....., BobN when Alice and the N Bobs share a single copy of a Cat-like state and where again {\it all} the 2N parties are at distant locations.
We first consider teleportation of entangled states shared between Claire and Alice to Bob1 and Bob2 when Alice and the two Bobs share a single copy of a GHZ state and where all the four parties are at distant locations. We extend this result to a more general state than GHZ-state and show that still a class of pure entangled states can be teleported, where the entanglement of this class ranges from 0 to e (≤1), depending on the entanglement (defined in the text) of the channel state. We then generalize this situation to the case of teleportation of entangled states shared between Claire1, Claire2, ..., Claire(N - 1) and Alice to Bob1, Bob2, ..., BobN when Alice and the N Bobs share a single copy of a GHZ-class state and where again all the 2N parties are at distant locations.
Summary form only given. Characterizing the entanglement of a general bipartite quantum system is a difficult problem. Most measures involve difficult extremizations and their physical motivation is not always clear. In this paper we propose an experimental measure of entanglement based on a modified version of the familiar teleportation protocol of Bennett et al. (1993). Briefly, teleportation traditionally involves two parties, Alice and Bob. Initially, Alice has a qubit in an unknown quantum state which she would like to communicate to Bob and Bob has two qubits in an entangled Einstein-Podolsky-Rosen (EPR) pair. To accomplish this transfer, Bob shares one qubit of his EPR pair with Alice. She then performs a joint measurement or Bell measurement on her two qubits and relays this information back to Bob over a classical channel. Bob then uses the outcome of Alice's Bell measurement to transform his qubit, with a local unitary transformation, into the original quantum state, always with a fidelity of one.
Quantum teleportation with optimum quantum resources and hardware in a quantum network poses a pressing and demanding need. Here, we offer a protocol for asymmetric two-way controlled quantum teleportation via employing a sixteen-qubit entangled state as a resource in a quantum network consisting of five communicating participants Alice, Bob1, Bob2, Bob3and Eve. Our protocol is designed so that a sending party (Alice) transmit its three single information-qubits to three different parties Bob1, Bob2& Bob3, respectively and at the mean time, these three parties (Bob1, Bob2& Bob3) send their Bell-like information-qubits back to the sender (Alice) under the supervision of administrator (Eve) by invoking projective Bell State measurements, GHZ-state measurements and X-basis measurements and local unitary operations. Furthermore, we have analyzed intrinsic efficiency of the protocol and compare our scheme with other competitive protocols.