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Journal of Modern Optics

Generalized remote preparation of thed-levelN-particle GHZ state

Yan Xia, Jie Song, He‐Shan Song

Published Jun 20, 2008• 6 citations
Publisher

Abstract

With one pair of entangled particles as the quantum channel, we present an explicit generalized protocol for preparing remotely a two-level N-particle Greenberger–Horne–Zeilinger (GHZ) state and generalize it to the d-level case. We show that by properly choosing the measurement basis it is possible to achieve unity fidelity remote preparation of the state. This protocol has the advantage of transmitting much fewer particles for remote preparation of the d-level N-particle GHZ state.

DOI
10.1080/09500340701787851

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With one pair of entangled particles as the quantum channel, we present an explicit generalized protocol for preparing remotely a two-level N-particle Greenberger–Horne–Zeilinger (GHZ) state and generalize it to the d-level case. We show that by properly choosing the measurement basis it is possible to achieve unity fidelity remote preparation of the state. This protocol has the advantage of transmitting much fewer particles for remote preparation of the d-level N-particle GHZ state.
We present two schemes for realizing the remote preparation of a Greenberger–Horne–Zeilinger (GHZ) state. The first scheme is to remotely prepare a general N -particle GHZ state with two steps. One is to prepare a qubit state by using finite classical bits from sender to receiver via a two-particle entangled state, and the other is that the receiver introduces N — 1 additional particles and performs N — 1 controlled-not (C-Not) operations. The second scheme is to remotely prepare an N -atom GHZ state via a two-atom entangled state in cavity quantum electrodynamics (QED). The two schemes require only a two-particle entangled state used as a quantum channel, so we reduce the requirement for entanglement.
This paper presents a scheme for probabilistic remote preparation of a three-particle entangled Greenberger- Horne-Zeilinger (GHZ) state via three-particle orthonormal basis projective measurement, and then directly generalize the scheme to multi-particle case. It is shown that by using N pairs of bipartite non-maximally entangled states as the quantum channel and N -particle orthonormal basis projective measurement, the multi-particle remote preparation can be successfully realized with a certain probability.
We propose a new remote state preparation process- After the sender measures her particles，adopting the new process，the receiver can greatly reduce the classical communication cost- With a partial entangled three-particle Greenberger-Horne-Zeilinger (GHZ) state and a partial entangled two-particle state as the quantum channel，we present a scheme for preparing remotely a three-particle GHZ state- Taking this scheme as an example， we show how to use this process in detail and present the application range of this process- Analysis shows: only one classical bit is required for remote preparation of the three-particle GHZ state by using this process-
We propose a remote state preparation (RSP) scheme of three-particle Greenberger–Horne–Zeilinger (GHZ) class states, where quantum channels are composed of two maximally entangled states. With the aid of forward classical bits, the preparation of the original state can be successfully realized with the probability 1/2, the necessary classical communication cost is 0.5 bit on average. If the state to be prepared belongs to some special states, the success probability of preparation can achieve 1 after consuming one extra bit on average. We then generalize this scheme to the case that the quantum channels consist of two non-maximally entangled states.
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.