论文标题
量子状态集之间的局部转换条件
Conditions for local transformations between sets of quantum states
论文作者
论文摘要
我们研究了使用确定性LOCC(本地操作和经典交流)将一组纯二分国家转变为另一种纯正状态的问题。使用状态转换,纠缠和区分性的LOCC约束获得了这种转化的必要条件。这些条件被证明是独立的,但不够。我们讨论他们的满意度,并将所有可能的输入输出对分类相应地分类。我们还证明,在LOCC,可分离和积极的部分转置操作之间存在严格的夹杂物,以解决设置转换问题。
We study the problem of transforming a set of pure bipartite states into another using deterministic LOCC (local operations and classical communication). Necessary conditions for the existence of such a transformation are obtained using LOCC constraints on state transformation, entanglement, and distinguishability. These conditions are shown to be independent but not sufficient. We discuss their satisfiability and classify all possible input-output pairs of sets accordingly. We also prove that strict inclusions hold between LOCC, separable, and positive partial transpose operations for set transformation problems.