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International Journal of Quantum Information

Minimum remote state preparation of an arbitrary two-level one-atom state via cavity QED

Yahong Wang, Chang‐shui Yu

Published Feb 27, 2015• 0 citations
Publisher

Abstract

In this paper, we propose three schemes for remotely state preparation (RSP) an arbitrary two-level one-atom state via cavity quantum electro dynamics (QED) with minimal resources consumption. In the first case, a Greenberger–Horne–Zeilinger (GHZ) state is used as quantum channel; in the second case, the sender needs to construct an quantum channel with both of the assistant of cavity QED and the knowledge about the state to be remotely prepared. In each scheme, only 1 cbit and 1 ebit are needed with the aid of cavity QED. In the third case, we combine the first two protocols and give a theoretical proposal for controlled RSP with only 2 cbits and 1 ebit resources consumption.

DOI
10.1142/s0219749915500094

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In this paper, we propose three schemes for remotely state preparation (RSP) an arbitrary two-level one-atom state via cavity quantum electro dynamics (QED) with minimal resources consumption. In the first case, a Greenberger–Horne–Zeilinger (GHZ) state is used as quantum channel; in the second case, the sender needs to construct an quantum channel with both of the assistant of cavity QED and the knowledge about the state to be remotely prepared. In each scheme, only 1 cbit and 1 ebit are needed with the aid of cavity QED. In the third case, we combine the first two protocols and give a theoretical proposal for controlled RSP with only 2 cbits and 1 ebit resources consumption.
In this paper, a scheme is proposed for remote state preparation (RSP) with cavity quantum electrodynamics (QED). In our scheme, two observers share two-atom nonmaximally entangled state as quantum channels and can realize remote preparation of state of an atom. We also propose a generalization for remote preparation of N -atom entangled state by ( N +1)-atom GHZ-like state ( N ≥ 2). By this scheme, one single-atom projective measurement is enough for the RSP of a qubit or N -atom entangled state, and the probability of success for RSP is unity. Furthermore, we have considered the case where observers use W-like state as quantum channels to realize RSP of a qubit. We compare our scheme with existing ones.
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.
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 propose a scheme for multiparty-controlled remote preparation of the two-particle state by using two non-maximally Greenberger–Horne–Zeilinger states as quantum channel. Our scheme consists of one sender and n remote receivers. It will be shown that the sender can help either one of the n receivers to remotely preparation the original state with the appropriate probability, and the sender Alice's two-particle projective measurement and the controllers' single-particle product measurements are needed. We also obtained the probability of the successful remote state preparation.
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.