Entanglement for any definition of two subsystems

نویسندگان

چکیده

The notion of entanglement quantum states is usually defined with respect to a fixed bipartition. Indeed, global basis change can always map an entangled state separable one. situation however different when considering set states. In this work we define the "absolutely set" states: for any possible choice basis, at least one in entangled. Hence, all bipartitions, i.e. definition subsystems, features entanglement. We present minimum example phenomenon, four $\mathbb{C}^4 = \mathbb{C}^2 \otimes \mathbb{C}^2$. Moreover, propose quantitative measure absolute To lower-bound quantity, develop method based on polynomial optimization perform convex over unitaries, which independent interest.

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ژورنال

عنوان ژورنال: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physreva.103.052432