Remote Preparation of an Entangled State in Nonideal Conditions

In this paper, the theoretical investigation of remote preparation of an entangled state is studied in nonideal conditions. Our studies include two parts. In the first part, we consider the remote state preparation (RSP) of an entangled state through two equally noisy quantum channel states, namely, a mixture of Bell states. Studies show there is a particular mixed-state channel for which all pure entangled states remain entangled after this inexact RSP. In the second part, we suppose that noises which quantum channels suffer from can be expressed as the Lindblad operators.The master equation of the system can be expressed in the Lindblad form. Through solving the master equation, we calculate the fidelity as a function of decoherence rates and parameters of the state to be prepared. For a given entangled state, we investigate the influenceof different types of noises on the fidelity.     

Influence of Noises on Remote State Preparation Using GHZ State

Using a quantum channel consisting of a GHZ state exposed to noisy environment, we investigate how to remotely prepare an entangled state and a qubit state, respectively. By solving the master equation in the Lindblad form, the influence of the various types of noises on the GHZ state is first discussed. Then we use the fidelity to describe how close the remotely prepared state and the initial state are. Our results show that the fidelity is a function of the decoherence rates and the angles of the initial state. It is found that for each of the two RSP schemes, the influence of the noise acting simultaneously in x, y, and z directions on the average fidelity is the strongest while the influence of the noise acting in x or z direction on the average fidelity is relatively weaker.     

利用纠缠交换在理想和非理想条件下的远程态制备(英文)

提出了利用纠缠交换技术实现一个纠缠态的远程制备.考虑在量子信道没有遭受噪声影响的条件下,利用一对两粒子纠缠态作为量子信道去实现远程态制备.此外我们考察了噪声存在时的远程态的制备,研究显示不同类型的量子噪声对远程态制备过程的保真度的影响不同.对一个确定量子态,我们考察了消相干效应对其远程制备的影响.     

在四能级系统中实现单粒子及两粒子量子态的远程制备

本文提出两种协议来实现远程态制备.第一个方案描述基于两体最大纠缠信道,如何远程制备四能级系统中的任意单粒子量子态.然后由第一个方案概括出第二个方案,即在四能级系统中实现两粒子纠缠态的远程制备方案.在两种制备的过程中, 需要分别实施一个单粒子投影测量和一个两粒子投影测量.结果表明,两个方案都能以大于25%的几率忠信地实现.此外,对于两类特殊态,即赤道态和实数态,其成功概率大大提高至100%,此时我们几率的协议转变为决定性的协议.     

在四能级系统中实现单粒子及两粒子量子态的远程制备

本文提出两种协议来实现远程态制备.第一个方案描述基于两体最大纠缠信道,如何远程制备四能级系统中的任意单粒子量子态.然后由第一个方案概括出第二个方案,即在四能级系统中实现两粒子纠缠态的远程制备方案.在两种制备的过程中, 需要分别实施一个单粒子投影测量和一个两粒子投影测量.结果表明,两个方案都能以大于25%的几率忠信地实现.此外,对于两类特殊态,即赤道态和实数态,其成功概率大大提高至100%,此时我们几率的协议转变为决定性的协议.     

噪声环境下基于两体纠缠态的远程态制备

本文研究了量子噪声对分别以Einstein-Podolsky-Rosen （EPR）态和两体部分纠缠态作为量子信道来远程制备单比特态的量子过程的影响. 通过求解Lindblad形式的主方程,得到量子信道随时间的演化,采用迹距离来度量不同噪声情况下输出态与初态的接近程度. 研究表明,作用在z方向的噪声对远程态制备的影响最弱,而同时作用在x,y,z方向的噪声对远程态制备的影响最强. 关键词： 远程态制备 迹距离 纠缠态 噪声信道     

Two Schemes for Probabilistic Remote Preparation of a Four-Particle Entangled Cluster-Type State

Using partial entangled states as the quantum channel, two schemes for probabilistic remote preparation of the four-particle cluster-type state with real and complex coefficients are presented. In the first scheme, the sender and the receiver share two partial Bell states and one partial three-qubit GHZ stats as the quantum channel, and the sender can help a remote receiver to prepare a four-particle entangled cluster-type state by using three-qubit projective measurements with certain probability. In the second scheme, the quantum channel is composed of two partial three-qubit GHZ states, the remote state preparation （RSP） can be successfully realized via the positive operator valued measure （POVM）, and the two-particle projective measurements are also needed in this process. The total success probability and classical communication cost are calculated.     

High efficient scheme for remote state preparation with cavity QED

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.     

噪声对远程态制备迹距的影响

用一纠缠对作为信道，考察噪声对单个量子比特远程制备的影响。我们采用迹距来描述终态和待制备的初态之间的接近程度，其研究包括两种情况：第一种情况，发送方和接收方采用两Bell态的混合态作为信道去实现远程态制备[RSP],计算发现迹距是两态混合比的函数；第二种情况，假定环境噪声是一种随机波动模式，通过求解Bloch方程，得到系统的密度矩阵，详细讨论在随机噪声模式下，噪声对远程态制备迹距的影响。     

Efficient and Economic Schemes for Remotely Preparing a Four-Qubit Cluster-Type Entangled State

We propose two novel schemes for remotely preparing a four-qubit cluster-type entangled state (FCES) with complex coefficients by using four EPR pairs and two three-qubit GHZ states as the quantum channel, respectively. To complete the remote state preparation (RSP) schemes, several novel sets of four-and two-qubit measuring basis were introduced. In these schemes, after the sender performs two different projective measurements, the receiver should introduce two auxiliary qubits and employ suitable C-NOT gates on his qubits, the original state can be reconstructed with unit successful probability. Compared with the previous schemes for the RSP of a FCES, the advantage of the present schemes is that the entanglement resource can be reduced.     

Remote preparation of a class of three-qubit states

We propose a remote state preparation (RSP) scheme of a three-particle Greenberger-Horne-Zeilinger (GHZ) class state by using three 2-qubit maximally entangled states as the quantum channel. The success probability of preparation and classical communication cost are calculated. Generally speaking, conditioned on Alice’s classical message, with probability 1/4 Bob can successfully prepare the original state by performing one appropriate unitary operation. However, for four kinds of special states, the success probability of preparation can be increased to 1/2 or even 1 after consuming some extra bits.     

Deterministic joint remote preparation of an arbitrary two-qubit state in the presence of noise

Using two tripartite Greenberger-Horne-Zeilinger （GHZ） states as the shared channels, we investigate the noise effects on the deterministic joint remote preparation of an arbitrary two-qubit state. By unitary matrix decomposition procedure, we first construct the quantum logic circuit of the deterministic joint remote state preparation protocol. Then, we analytically derive the fidelity and the average fidelity for the deterministic joint remote preparation of an arbitrary two- qubit state and of four types of special two-qubit states under the influence of the Pauli noises. It is found that the fidelity depends on the noise types, the qubit-environment coupling strength, and the state to be remotely prepared. Moreover, even if the two GHZ channels are subject to the same environmental noises, the average fidelities for remotely preparing different two-qubit states display different time evolution behaviors. The remote preparation of the identical two-qubit states also shows that the average fidelities affected by different noisy environments exhibit different evolution actions.     

Remotely Preparing a Four-Dimensional Quantum State via Positive Operator-Valued Measure

Several protocols for remote preparation of a single-quadbit state and a two-quadbit entangle state with real and complex coefficients are presented via positive operator-valued measure, respectively. In these protocols, two- and three-quadbit non-maximally entangled state(s) have been employed as the quantum channel respectively. To complete the protocols, several novel sets of single- and two-quadbit mutually orthogonal basis vectors are introduced. The advantage of the present protocols is that, if the quantum channel consists of maximally entangled state(s), all the considered RSP can be completed with unit successful probability.     

Effect of feedback control on the entanglement evolution

We study the effect of feedback control on the entanglement evolution of two spins in a dissipative cavity governed by the Lindblad master equation. By numerically solving the master equation, we show that the entanglement can be controlled by the feedback based on the quantum jumps of the field in a leaking cavity. With the feedback added to the spins, the stable states with high degree of entanglement can be obtained in absence of the spontaneous decay of the spins, and the entanglement can also be generated for a period in presence of spontaneous decay of the spins. All the controlled entangled states are closely related to the initial states.     

Efficient Joint Remote Preparation of an Arbitrary m-qudit State with Partially Entangled States

We present an efficient scheme for multiparty joint remote preparation of an arbitrary m-qudit state by using partially entangled states as the quantum channel. One of the senders first performs a collective unitary transformation on his entangled particles and the auxiliary qubit, and then he performs a Z-basis measurement on the auxiliary qubit for transforming the partially entangled quantum channel into the two types of multi-particle entangled states. In the first case, the quantum channel shared by all the senders and the receiver is the target channel. In the second case, the quantum channel transforms into another partially entangled state which is the resource for the quantum channel transformation in the next round. Compared with other protocols, our scheme has advantage of having high success probability for joint remote preparation of an arbitrary m-qudit state via partially entangled states.     

Efficient scheme for remote preparation of arbitrary n-qubit equatorial states

Recently,a scheme for deterministic remote preparation of arbitrary multi-qubit equatorial states was proposed by Wei et al.[Quantum Inf.Process.1770(2018)].It is worth mentioning that the construction of mutual orthogonal measurement basis plays a key role in quantum remote state preparation.In this paper,a simple and feasible remote preparation of arbitrary n-qubit equatorial states scheme is proposed.In our scheme,the success probability will reach unit.Moreover,there are no coefficient constraint and auxiliary qubits in this scheme.It means that the success probabilities are independent of the coefficients of the entangled channel.The advantage of our scheme is that the mutual orthogonal measurement basis is devised.To accomplish the quantum remote state preparation(RSP)schemes,some new sets of mutually orthogonal measurement basis are introduced.     

Quantum multicast schemes of different quantum states via non-maximally entangled channels with multiparty involvement

Due to the unavoidable interaction between the quantum channel and its ambient environment, it is difficult to generate and maintain the maximally entanglement. Thus, the research on multiparty information transmission via non-maximally entangled channels is of academic value and general application. Here, we utilize the non-maximally entangled channels to implement two multiparty remote state preparation schemes for transmitting different quantum information from one sender to two receivers synchronously. The first scheme is adopted to transmit two different four-qubit cluster-type entangled states to two receivers with a certain probability. In order to improve success probabilities of such multicast remote state preparation using non-maximally entangled channels, we put forward the second scheme, which deals with the situation that is a synchronous transfer of an arbitrary single-qubit state and an arbitrary two-qubit state from one sender to two receivers. In particular, its success probability can reach 100% in principle, and independent of the entanglement degree of the shared non-maximally entangled channel. Notably, in the second scheme, the auxiliary particle is not required.     

用三粒子纠缠态作量子信道远程操纵单比特旋转

提出用三粒子纠缠态作量子信道远程操纵单比特旋转的理论方案。首先，我们利用最大纠缠的GHZ态的性质远程操纵单比特旋转，其保真度和成功几率均为1。 我们还提出了两个用部分纠缠的GHZ态作量子信道实现保真度为1的远程操纵单比特旋转的方案。这些方案的特点是，两地之间还存在一第三者，他作为监控方参与量子远程操纵过程，特别地，当量子信道为部分纠缠态时，他能矫正被非理想量子信道致畸的量子态。除了GHZ型态外，我们还证明了W型态亦可用作量子信道远程操纵单比特旋转，但后者的成功几率总是小于前者。     

Deterministic Remote Entangled State Preparation Using Cluster State in Cavity QED

We propose a scheme to prepare a two-qubit remote entangled state based on four-qubit cluster state in cavity quantum electrodynamics which involves the interaction of the atoms with the cavity. Through using four-particle cluster state as a quantum channel, we shown that the probability and fidelity of the successful remote state preparation can approach unit. In addition, our protocol only need single qubit measurement instead of the conventional Bell-state measurement, then it is quite simple but also very robust to the cavity decay and the influence of the thermal field.     

远程制备双原子纠缠态

提出一种远程制备双原子纠缠态的方案,该方案基于两个原子与单模腔场的同时非共振相互作用.由于双粒子纠缠态比三粒子纠缠态容易制备,方案用两对双原子纠缠态作为量子通道.Alice 拥有的两个相同原子同时与一单模腔场非共振相互作用.Alice已知她要制备的纠缠态,她选择适当的相互作用时间、测量她所拥有的两个原子并通过经典通道通知Bob.Bob引入一个相同的辅助原子和一个单模腔场来实现方案.方案对腔场状态和腔损耗不敏感,基于当前的腔QED 技术,方案能在实验上实现.该方案有望在量子信息过程中有重要的应用价值.