Distribution of entanglement and correlations in all finite dimensions
| Autor: | Eltschka, Christopher, Siewert, Jens |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Quantum 2, 64 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.22331/q-2018-05-22-64 |
| Popis: | The physics of a many-particle system is determined by the correlations in its quantum state. Therefore, analyzing these correlations is the foremost task of many-body physics. Any 'a priori' constraint for the properties of the global vs. the local states---the so-called marginals---would help in order to narrow down the wealth of possible solutions for a given many-body problem, however, little is known about such constraints. We derive an equality for correlation-related quantities of any multipartite quantum system composed of finite-dimensional local parties. This relation defines a necessary condition for the compatibility of the marginal properties with those of the joint state. While the equality holds both for pure and mixed states, the pure-state version containing only entanglement measures represents a fully general monogamy relation for entanglement. These findings have interesting implications in terms of conservation laws for correlations, and also with respect to topology. Comment: 11 pages, 3 figures, accepted for publication in Quantum |
| Databáze: | arXiv |
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