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International Journal of Quantum Information

COLLECTIVE REMOTE STATE PREPARATION

Nguyen Ba An, Jaewan Kim

Published Oct 1, 2008• 61 citations
Publisher

Abstract

We show that any M ≥ 2 distant parties who independently share the complete classical knowledge of a secret qubit state can collectively prepare the state at another remote location. Two distinct schemes for such a task are proposed: one via a single (M + 1)-partite GHZ-type state and the other via M EPR-type pairs. Analytical expressions of the total success probability are derived explicitly for both the schemes. Of interest is the M-dependence of both the success probability and the receiver's action. We also construct simple quantum circuits for the two-qubit operators whose execution is necessary to accomplish the schemes.

DOI
10.1142/s0219749908004304

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We show that any M ≥ 2 distant parties who independently share the complete classical knowledge of a secret qubit state can collectively prepare the state at another remote location. Two distinct schemes for such a task are proposed: one via a single (M + 1)-partite GHZ-type state and the other via M EPR-type pairs. Analytical expressions of the total success probability are derived explicitly for both the schemes. Of interest is the M-dependence of both the success probability and the receiver's action. We also construct simple quantum circuits for the two-qubit operators whose execution is necessary to accomplish the schemes.
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.
For M -sender independently share the classical knowledge of a quantum state, a scheme for joint remote preparation of an arbitrary two-qubit state by GHZ-type states as the quantum channel is presented. It is shown that the receiver can reconstruct the original state with certain probability under the condition that only and only if all the senders collaborate with each other. The single-qubit and two-qubit projective measurements are needed in our scheme. We also discuss some information-splitting methods which can make the receiver obtain the unknown state.