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Paper 1
The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2
Ning Bao, Aidan Chatwin-Davies
- Year
- 2016
- Journal
- arXiv preprint
- DOI
- arXiv:1609.01727
- arXiv
- 1609.01727
We present a constructive algorithm for the determination of Ryu-Takayanagi surfaces in AdS3/CFT2 which exploits previously noted connections between holographic entanglement entropy and max-flow/min-cut. We then characterize its complexity as a polynomial time algorithm.
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Systematic Construction of Genuine Multipartite Entanglement Criteria using Uncertainty Relations
A. Saboia, A. T. Avelar, S. P. Walborn, F. Toscano
- Year
- 2014
- Journal
- arXiv preprint
- DOI
- arXiv:1407.7248
- arXiv
- 1407.7248
A general procedure to construct criteria for identifying genuine multipartite continuous variable entanglement is presented. It relies on the proper definition of adequate global operators describing the multipartite system, the positive partial transpose criterion of separability, and quantum mechanical uncertainty relations. As a consequence, each criterion encountered consists of a single inequality that is nicely computable and experimentally feasible, and that when violated is sufficient condition for genuine multipartite entanglement. Additionally we show that the previous work of van Loock and Furusawa [Phys. Rev. A, 67, 052315 (2003)] is a special case of our result that includes strongest criteria to detect entanglement.
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