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Journal of Physics A Mathematical and Theoretical

Deterministic joint remote preparation of an arbitrary three-qubit state via EPR pairs

Qing-Qin Chen, Yan Xia, Jie Song

Published Jan 13, 2012• 30 citations
Publisher

Abstract

A proposal, using six Einstein–Podolsky–Rosen pairs as the shared quantum resource, focuses on realizing the deterministic joint remote preparation of an arbitrary three-qubit state. With the right measurement bases and a series of proper Pauli operators, the state that we intend to joint remotely prepare is deemed to be obtained deterministically.

DOI
10.1088/1751-8113/45/5/055303

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A proposal, using six Einstein–Podolsky–Rosen pairs as the shared quantum resource, focuses on realizing the deterministic joint remote preparation of an arbitrary three-qubit state. With the right measurement bases and a series of proper Pauli operators, the state that we intend to joint remotely prepare is deemed to be obtained deterministically.
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.
We propose several schemes for the joint remote preparation of four-qubit cluster-type states with real coefficients and complex coefficients by using six Einstein–Podolsky–Rosen (EPR) pairs and two six-qubit entangled states as quantum channels respectively. In these schemes, two senders share the original state which they wish to help the receiver to remotely prepare. It is shown that, only if two senders collaborate with each other, and perform four-qubit projective measurements on their own qubits respectively, the receiver can reconstruct the original state by means of some appropriate unitary operations.
We put forward two novel and perfect protocols for preparing an arbitrary single–particle state and simultaneously implementing a rotation operator or an arbitrary unitary operator on that particle. There are schemes for either only teleporting particles or only remotely controlling quantun particles. If one has to remotely control a prepared quantum, then he/ she has to first do remote state preparation and then executes the remote control on the prepared quantum. Both operations ware done separately on two sets of entanglements. However, this intuitive solution is inefficient because many resources are wasted. Thus, we attempt to complete both operations by sharing one three–particle Greenberger–Horne– Zeilinger (GHZ) state. Comparing our two protocols with the corresponding intuitive solutions, respectively, the results show that our protocols are more efficient than the corresponding intuitive solutions. Only Pauli operators, controlled–NOT gate, Bell–state measurement, single–qubit measurement, Einstein–Podolsky–Rosen (EPR) state and GHZ state are used in our schemes, so these schemes are easily realized in physical experiment.