For the examplesĬonsidered we find explicit matching of our optimization procedure and theĬareful implementation of the Wick rotation in the boundary CFT. Surfaces which are homologous to the boundary region. Which generalizes the notion of an emergent space from quantum entanglement.įor holographic systems we define the timelike EE as the total complex valuedĪrea of a particular stationary combination of both space and timelike extremal Imply that the imaginary part of the pseudo entropy describes an emergent time References: Harlow’s lectures on quantum information in quantum gravity, available on the arxiv, may be useful. We will start at the beginning with discrete quantum systems and work our way up to quantum gravity. In it says that entanglement entropy in quantum field theory have a universal ultraviolet divergence. Is the von Neumann entropy of a reduced transition matrix. In holographic systems, entanglement entropy is encoded in geometric features of the bulk geometry. 1 I have been reading some slides of Ed Witten about the Reeh-Schlieder theorem and entanglement in QFT ( pdf ). Interpreted as another measure previously considered, the pseudo entropy, which We argue that timelike EE should be correctly AnĮxplicit definition of the timelike EE in 2d field theories is providedįollowed by numerical computations which agree with the analytic continuation Rotation that changes a spacelike boundary subregion to a timelike one. Download a PDF of the paper titled Timelike entanglement entropy, by Kazuki Doi and 4 other authors Download PDF Abstract: We define a new complex-valued measure of information called the timelikeĮntanglement entropy (EE) which in the boundary theory can be viewed as a Wick The use of entropy in quantum physics has guided remarkable advances in the understanding of entanglement and general forms of quantum correlations in composite.
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