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International Journal of Quantum Information

N-to-M JOINT REMOTE STATE PREPARATION OF 2-LEVEL STATES

Yuan Su, Xiu‐Bo Chen, Yixian Yang

Published Aug 26, 2011• 12 citations

Abstract

In this paper, we investigate novel protocols for the joint remote state preparation involving several senders and receivers. The highlight of our paper lies in two aspects. First, we focus on the distribution of information among multiple senders and receivers. Second, each receiver can simultaneously reconstruct a qubit state containing the joint information from all senders. These properties imply that our protocols may have many extensive applications in burgeoning quantum network communication. Our protocols cover a variety of class, i.e. two-to-three, N-to-three, and N-to-M. Through introducing the quantum fourier transform, the set of orthogonal basis in the M-dimensional Hilbert space is ingeniously constructed. Moreover, we present all the recovery operations in details. The success probability and the classical communication costs are also given.

DOI: 10.1142/s021974991100812x

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In this paper, we investigate novel protocols for the joint remote state preparation involving several senders and receivers. The highlight of our paper lies in two aspects. First, we focus on the distribution of information among multiple senders and receivers. Second, each receiver can simultaneously reconstruct a qubit state containing the joint information from all senders. These properties imply that our protocols may have many extensive applications in burgeoning quantum network communication. Our protocols cover a variety of class, i.e. two-to-three, N-to-three, and N-to-M. Through introducing the quantum fourier transform, the set of orthogonal basis in the M-dimensional Hilbert space is ingeniously constructed. Moreover, we present all the recovery operations in details. The success probability and the classical communication costs are also given.

We present two schemes for joint remote preparation of an arbitrary four-qubit j\c{hi}i -type entangled state via three three- and (N+1)-qubit GHZ states as the quantum channel, respectively. In these schemes, two senders (or N senders) share the original state which they wish to help the receiver to remotely prepare. To complete the JRSP schemes, several novel sets of mutually orthogonal basis vectors are introduced. It is shown that, only if two senders (or N senders) collaborate with each other, and perform projective measurements under suitable measuring basis on their own qubits respectively, the receiver can reconstruct the original state by means of some appropriate unitary operations and suitable C-NOT gates. Compared with the previous schemes for the JRSP of four-qubit |\c{hi}>-type state, the advantages of the present schemes are that the total successful probability of JRSP can reach 1 and the entanglement resource can be reduced

By joint actions of two separate two-qubit projective measurements, I present a new protocol for remotely preparing a two-qubit state via the shared three bipartite entanglements. The success probability and the classical communication cost are also minutely calculated. Then I concisely generalize it to multi-party case and multi-qubit state case, respectively. In contrast to the previous schemes [Int. J. Theor. Phys.48 (2009) 2005; Int. J. Theor. Phys.46 (2007) 2378; Commun. Theor. Phys.47 (2007) 247], this protocol has distinct advantages overwhelming the above ones as far as quantum resource consumption and quantum operation difficulty or intensity are concerned.