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Communications in Physics

New Deterministic Protocol for Joint Remote Preparation of Two-qubit States

Nung Van Don, Nguyen Ba An, Cao Thi Bich

Published Oct 29, 2012• 0 citations
Publisher

Abstract

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.

DOI
10.15625/0868-3166/22/3/593

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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.
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.
Abstract Remote state preparation is a secure and faithful method for transmitting known quantum states by means of local operation and classical communication. Existing protocols in the general case succeed just with probabilities of less than 100%. In this paper, we design a protocol to remotely prepare the most general single-qubit state that always succeeds. To achieve unit success probability, the preparer is allowed to use additional local resources and implement adaptive measurements. Our protocol is meaningful because the most expensive resource, i.e. the quantum channel previously shared between the preparer and the receiver, remains the same as in the original protocol (Pati 2000 Phys. Rev. A 63 014302), which, however, succeeds only half the time.