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arXiv · 1901.07448

Matrix Product States: Entanglement, symmetries, and state transformations

David Sauerwein·Andras Molnar·J. Ignacio Cirac·Barbara Kraus
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Abstract

We analyze entanglement in the family of translationally-invariant matrix product states (MPS). We give a criterion to determine when two states can be transformed into each other by SLOCC transformations, a central question in entanglement theory. We use that criterion to determine SLOCC classes, and explicitly carry out this classification for the simplest, non-trivial MPS. We also characterize all symmetries of MPS, both global and local (inhomogeneous). We illustrate our results with examples of states that are relevant in different physical contexts.

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David Sauerwein, Andras Molnar, J. Ignacio Cirac, Barbara Kraus. 2019-01-22. Matrix Product States: Entanglement, symmetries, and state transformations. https://doi.org/10.1103/physrevlett.123.170504

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