Evolution and Symmetry of Multipartite Entanglement

Details Evolution and Symmetry of Multipartite Entanglement Evolution and Symmetry of Multipartite Entanglement

2010-08-06

arxiv.org/abs/1008.1292v3

PRL 105, 190504 (2010)

Physics

Quantum Physics

5.1 pages, few typos fixed

Scientific paper

We discover a simple factorization law describing how multipartite entanglement of a composite quantum system evolves when one of the subsystems undergoes an arbitrary physical process. This multipartite entanglement decay is determined uniquely by a single factor we call the entanglement resilient factor (ERF). Since the ERF is a function of the quantum channel alone, we find that multipartite entanglement evolves in exactly the same way as bipartite (two qudits) entanglement. For the two qubits case, our factorization law reduces to the main result of Nature Physics 4, 99 (2008). In addition, for a permutation $P$, we provide an operational definition of $P$-asymmetry of entanglement, and find the conditions when a permuted version of a state can be achieved by local means.

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