局域PT对称幺正下纠缠不变性的破坏
Violation of Invariance of Entanglement Under Local PT Symmetric Unitary
摘要：
纠缠是量子世界的重要特征之一，任何纠缠度量都必须满足一些基本定律。其中最重要的是纠缠在局域幺正操作下的不变性。我们表明，这不再是真实的本地${\cal {PT}}$对称酉操作。如果两个粒子共享一个最大纠缠态，那么在局域${\cal {PT}}$对称幺正演化下，纯二体态的纠缠熵不再保持不变。进一步证明了如果一方进入${\cal {PT}}$对称量子世界，则通常量子理论中的最大纠缠态对于另一方来说是非最大纠缠态.我们称之为“纠缠失配”效应，它可以导致违反无信号条件。
英文摘要：
Entanglement is one of the key feature of quantum world and any entanglement measure must satisfy some basic laws. Most important of them is the invariance of entanglement under local unitary operations. We show that this is no longer true with local ${\cal {PT}}$ symmetric unitary operations. If two parties share a maximally entangled state, then under local ${\cal {PT}}$ symmetric unitary evolution the entropy of entanglement for pure bipartite states does not remain invariant. Furthermore, we show that if one of the party has access to ${\cal {PT}}$-symmetric quantum world, then a maximally entangled state in usual quantum theory appears as a non-maximally entangled states for the other party. This we call as the "entanglement mismatch" effect which can lead to the violation of the no-signaling condition.
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