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Journal of Physics B Atomic Molecular and Optical Physics

A recursive two-phase general protocol on deterministic remote preparation of a class of multi-qubit states

Min Jiang, Daoyi Dong

Published Sep 21, 2012• 40 citations
Publisher

Abstract

In this work, we present a general scheme to realize a remote preparation of a class of multi-qubit states (RSP) with real parameters using EPR-type pairs in a deterministic way. Our scheme operates essentially by breaking down the RSP protocol into two phases. In the first phase, the remote preparer can pre-adjust the initial channel to a target channel with proper ancilla-assisted unitary transformation operations. In the second phase, a projective measurement on a group of suitably chosen orthogonal bases is performed by the preparer. The results show that our two-phase RSP protocols are entirely feasible to deterministically prepare a class of multi-qubit states with real parameters for the remote receiver via pre-distributed Bell-type channels. In addition, since the pre-distributed channel could be used in a recursive manner, the efficiency of precious qubit resource can be greatly enhanced.

DOI
10.1088/0953-4075/45/20/205506

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In this work, we present a general scheme to realize a remote preparation of a class of multi-qubit states (RSP) with real parameters using EPR-type pairs in a deterministic way. Our scheme operates essentially by breaking down the RSP protocol into two phases. In the first phase, the remote preparer can pre-adjust the initial channel to a target channel with proper ancilla-assisted unitary transformation operations. In the second phase, a projective measurement on a group of suitably chosen orthogonal bases is performed by the preparer. The results show that our two-phase RSP protocols are entirely feasible to deterministically prepare a class of multi-qubit states with real parameters for the remote receiver via pre-distributed Bell-type channels. In addition, since the pre-distributed channel could be used in a recursive manner, the efficiency of precious qubit resource can be greatly enhanced.
In this paper, two efficient proposals are presented by using maximal slice states and orthogonal measurement basis to realize the joint remote state preparation (RSP) of two-qubit and three-qubit states, respectively. Furthermore, this kind of joint RSP schemes could be generalized to the case of arbitrary multi-qubit states, which can be transmitted from two senders to one receiver with the supervision of one manager. The successful probability of this joint RSP scheme is always equal to 100% in spite of that quantum channel is composed of non-maximally entangled states.
This paper offers a theoretical protocol for deterministic controlled remote state preparation of arbitrary real-parameter multi-qubit states, in which the maximally three-qubit entangled states are used as quantum channel. We elaborate the processes of implementing remote state preparation of the real-parameter two- and three-qubit states, and extend the protocol to realize the real-parameter n-qubit states. By performing the appropriate multi-qubit projective measurement basis and multi-qubit unitary operations, the successful probability of our scheme can reach 100%.
In this paper, we present a novel scheme for hierarchical joint remote state preparation (HJRSP) in a deterministic manner, where two senders can jointly and remotely prepare an arbitrary single-qubit at three receivers’ port. A six-particle partially entangled state is pre-shared as the quantum channel. There is a hierarchy among the receivers concerning their powers to reconstruct the target state. Due to various unitary operations and projective measurements, the unit success probability can always be achieved irrespective of the parameters of the pre-shared partially entangled state.
In this paper, we propose a novel scheme for deterministic hierarchical joint remote state preparation (HJRSP). Two senders and three receivers are involved. One sender has the amplitude information of the target state to be prepared at the receiver's port, while the other one has the phase information. There is a hierarchy among the receivers concerning their powers to reconstruct the target state. 6-particle partially entangled state is used as the quantum channel. Participants perform projective measurements under elaborate measurement bases. According to their measurement results, the receiver reconstructs the target state by means of appropriate unitary operation. The higher-power receiver reconstructs the target state independently, and the lower-power receiver reconstructs the target state if and only if all the other receivers help him (her). Different from the previous HJRSP scheme utilizing partially entangled channels, auxiliary qubit is not required in our scheme, and unit success probability can be achieved. It is shown that the success probability is independent of the parameters of the partially entangled quantum channel.
Our concern is to design some deterministic schemes for remotely preparing an arbitrary W -class state from one sender to one of a number of receivers. Compared with previous remote preparation schemes, the real receiver in our schemes is unknown to the sender. Firstly, by introducing a novel entanglement transformation the sender can deterministically prepare an arbitrary W -class state with complex spectra to one of two remote receivers via two four-particle GHZ states as the quantum channel. As for preparing a W -class state with real spectra, by constructing a general and useful measurement basis for the sender, another economical protocol can be designed with unit success probability. These schemes are extended to multiparties via two multi-particle GHZ states as the quantum channel. The classical communication costs of all the schemes are calculated to determine the classical resources required.
We propose two schemes to realize remote state preparation (RSP). The first scheme is designed to prepare an arbitrary single-particle state in a four-level system with the aid of one bipartite maximally entangled channel, which is then generalized to the second scheme, i.e., RSP for a two-particle state in a four-level system. During the two preparations, one single-particle projective measurement and one two-particle projective measurement are performed respectively. Our results show that the preparation for single-particle or two-particle states can be remotely realized with at least 25% successful probability and unit fidelity. Furthermore, with respect to two special ensembles of the prepared states, i.e., real and equatorial-like, the successful probability can be pushed up to 100%. Hence our probabilistic schemes become deterministic ones.