We present a scheme for probabilistic remote preparation of an entangled two-qubit state with three parties from a sender to either of two receivers. The quantum channel is composed of a paxtially entangled two-qubit state and a partially entangled three-qubit state. We calculate the successful total probabilities of the scheme in general and particular cases, respectively. We also calculate total classical communication cost in a general case and two particular cases, respectively.
This paper explores the potential of controlling quantum systems by introducing ancillary systems and then performing unitary operation on the resulting composite systems. It generalizes the concept of pure state controllability for quantum systems and establishes the link between the operator controllability of the composite system and the generalized pure state controllability of its subsystem. It is constructively demonstrated that if a composite quantum system can be transferred between any pair of orthonormal pure vectors, then its subsystem is generalized pure-state controllable. Furthermore, the unitary operation and the coherent control can be concretely given to transfer the system from an initial state to the target state. Therefore, these properties may be potentially applied in quantum information, such as manipulating multiple quantum bits and creating entangled pure states. A concrete example has been given to illustrate that a maximally entangled pure state of a quantum system can be generated by introducing an ancillary system and performing open-loop coherent control on the resulting composite system.
文献[Quantum Information and Computation,2005,5(4):350-363]提出量子相干性跟踪控制策略以保持量子位的相干性,该策略本质是开环控制,而开环控制的缺陷就是严重依赖于精确地了解系统的初始条件和模型参数。然而,我们对于系统的知识总是存在不确定性的。本文从鲁棒性的角度分析了量子相干性跟踪控制策略的局限性。首先,我们对该方法的鲁棒性进行了理论分析;接着用仿真实例定量说明了:量子初始条件和模型参数的精度对保持相干性的影响。根据相干性的精度要求,我们可以利用仿真分析的手段,来确定对模型参数和初始状态必须满足的精度条件。总之,我们在应用中必须谨慎采用量子相干性跟踪控制策略。
