论文标题

高保真量子状态通过pontryagin的最大原则转移

High Fidelity Quantum State Transfer by Pontryagin Maximum Principle

论文作者

Dehaghani, Nahid Binandeh, Pereira, Fernando Lobo

论文摘要

高保真量子状态转移是量子信息处理的重要组成部分。在这方面,我们解决了满足liouville-von neumann方程的量子状态转换过程中最大化忠诚度的问题。通过引入忠诚度为绩效指数,我们旨在最大程度地提高最终状态密度运算符与所需目标状态之一的相似性。为基质值的动态控制系统提供了以最大原理形式的最大原理形式的最佳条件。这些提供了一组完整的关系,以实现最佳控制策略的计算。

High fidelity quantum state transfer is an essential part of quantum information processing. In this regard, we address the problem of maximizing the fidelity in a quantum state transformation process satisfying the Liouville-von Neumann equation. By introducing fidelity as the performance index, we aim at maximizing the similarity of the final state density operator with the one of the desired target state. Optimality conditions in the form of a Maximum Principle of Pontryagin are given for the matrix-valued dynamic control systems propagating the probability density function. These provide a complete set of relations enabling the computation of the optimal control strategy.

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