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arxiv: quant-ph/9504006 · v1 · submitted 1995-04-07 · 🪐 quant-ph

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Higher order Schmidt decompositions

Asher Peres
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classification 🪐 quant-ph
keywords decompositionsschmidtconditionsexistenceextendedgivenhighernecessary
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Necessary and sufficient conditions are given for the existence of extended Schmidt decompositions, with more than two subspaces.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Separability from Multipartite Measures

    quant-ph 2026-05 unverdicted novelty 5.0

    Third-order negativity is a necessary and sufficient criterion for full separability of tripartite pure states and extends to mixed states and qudits.

  2. Separability from Multipartite Measures

    quant-ph 2026-05 unverdicted novelty 4.0

    Third-order negativity provides a necessary and sufficient criterion for full separability of tripartite pure states, with generalizations to mixed states, qudits, and an application to conformal field theory.