Local channels preserving maximal entanglement or Schmidt number

preprint2012arXivOpen access

Abstract

Maximal entanglement and Schmidt number play an important role in various quantum information tasks. In this paper, it is shown that a local channel preserves maximal entanglement state(MES) or preserves pure states with Schmidt number rr(rr is a fixed integer) if and only if it is a local unitary operation.

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