Hermitian Schmidt Decomposition and Twin Observables of Bipartite Mixed States

Physics – Quantum Physics

Scientific paper

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22 pages, Latex2e, supersedes both quant-ph/0106101 and quant-ph/0106038

Scientific paper

10.1088/0305-4470/35/7/314

It is shown that for each mixed state there exists a Schmidt (super state
vector) decomposition in terms of Hermitian operators. Its utilization for
finding all twins is illustrated in full detail in the case of the two
spin-one-half-particle states with maximally disordered subsystems (mixtures of
Bell states).

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