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Journal of Physics A Mathematical and Theoretical

Deterministic joint remote preparation of an arbitrary three-qubit state via Einstein–Podolsky–Rosen pairs with a passive receiver

Yan Xia, Qing-Qin Chen, Nguyen Ba An

Published Jul 30, 2012• 29 citations
Publisher

Abstract

In this work, a useful protocol for deterministic joint remote preparation of an arbitrary three-qubit state using only Einstein–Podolsky–Rosen pairs is put forward. Our protocol, in clear contrast with a previous one, works for a receiver who, due to limited local equipments, is unable to carry out any measurements and controlled-NOT gates as well as to send classical communication. Therefore, the practical merit of our protocol is that it is applicable to situations in which the receiver has insufficient resource to meet the demand.

DOI
10.1088/1751-8113/45/33/335306

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In this work, a useful protocol for deterministic joint remote preparation of an arbitrary three-qubit state using only Einstein–Podolsky–Rosen pairs is put forward. Our protocol, in clear contrast with a previous one, works for a receiver who, due to limited local equipments, is unable to carry out any measurements and controlled-NOT gates as well as to send classical communication. Therefore, the practical merit of our protocol is that it is applicable to situations in which the receiver has insufficient resource to meet the demand.
Designing quantum protocols with unit success probability is highly desirable from a viewpoint of the overall resource cost. In this work, we propose a new deterministic protocol for joint remote preparation of the most general two-qubit state using the same quantum/classical resource as in [An et al., Phys. Lett. A {\bf 375} (2011) 3570] and, at the same time, retaining the passive role of the receiver as in [Xiao et al., J. Phys. B: At. Mol. Opt. Phys. {\bf 44} (2011) 075501], which employs a different kind of nonlocal resource. From a practical point of view, this protocol proves most suitable in situations when only Einstein- Podelsky-Rosen pairs are supplied and the receiver is not capable of performing any measurements nor controlled-NOT gates.
We use the Einstein–Podolsky–Rosen pairs as the quantum channel and adopt the adaptive measurement strategy to allow M > 1 separate parties to cooperatively prepare an arbitrary two-qubit state for a remote receiver, without leakage of the state's full information. Our protocol is flexible and convenient in the sense that the receiver can be assigned even after the distribution of the qubits of the shared quantum channel and once assigned he/she only needs to perform a simple recovery operation. In addition, our protocol always succeeds and is applicable to a certain realistic situation for which other protocols are not suited.