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Local channels preserving maximal entanglement or Schmidt number

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arxiv 1206.3119 v2 pith:IVH6FZS3 submitted 2012-06-14 quant-ph math-phmath.FAmath.MP

classification quant-phmath-phmath.FAmath.MP
keywords entanglementlocalmaximalnumberschmidtpreserveschannelchannels
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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 $r$($r$ is a fixed integer) if and only if it is a local unitary operation.

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