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arxiv: 1009.1223 · v1 · pith:MQYBRJ3Qnew · submitted 2010-09-07 · 🪐 quant-ph · cond-mat.stat-mech· hep-th

Higher-Order-Schmidt-Representations and their Relevance for the Basis-Ambiguity

classification 🪐 quant-ph cond-mat.stat-mechhep-th
keywords compacthigher-order-schmidt-representationsoperatorsaccountbasis-ambiguityclosedcoherentdecomposition
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With the help of a useful mathematical tool, the polar decomposition of closed operators, and a simple observation, i.e. the unique relation between tensor-product states and compact operators, we manage to give a compact and coherent account of the various properties of higher-order-Schmidt-representations.

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