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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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M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrődinger-cat State: Nonclassicality and Decoherence
Li Huang, Qin Guo, Li-ying Jiang, Ge Chen, Xue-xiang Xu, Wen Yuan
- Year
- 2014
- Journal
- arXiv preprint
- DOI
- arXiv:1407.7104
- arXiv
- 1407.7104
We introduce a new non-Gaussian state, generated by m times coherent superposition operation $a\cos θ+a^{\dagger }e^{i\varphi }\sin θ$ (MCSO) on odd-Schrodinger-cat state (OSCS). Its normalized constant is turned out to be related with the Hermite polynomial. We further investigate the nonclassical properties of the MCSO-OSCS through Mandel's Q-parameter, quadrature squeezing, the photocount distribution and Wigner function (WF). It is shown that the nonclassicality of the MCSO-OSCS is influenced by the number of times (m) of coherent superpositon operation, the angle $θ$ and the amplitude of the coherent state (|$α_{0}$|). Especially the volume of negative region of WF increases with the increment of parameters m, $θ$ and $α_{0}$. We also investigate the decoherence of the MCSO-OSCS in terms of the fadeaway of the negativity of WF in a thermal environment.
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