Abstract
Starting from an interesting coincidence between the bit threads and SS (surface/state) correspondence, both of which are closely related to the holographic RT formula, we introduce a property of bit threads that has not been explicitly proposed before, which can be referred to as thread/state correspondence (see [50] for a brief pre-release version). Using this thread/state correspondence, we can construct the explicit expressions for the SS states corresponding to a set of bulk extremal surfaces in the SS correspondence, and nicely characterize their entanglement structure. Based on this understanding, we use the locking bit thread configurations to construct a holographic qubit threads model as a new toy model of the holographic principle, and show that it is closely related to the holographic tensor networks, the kinematic space, and the connectivity of spacetime.
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Lin, YY., Jin, JC. Thread/State correspondence: from bit threads to qubit threads. J. High Energ. Phys. 2023, 245 (2023). https://doi.org/10.1007/JHEP02(2023)245
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DOI: https://doi.org/10.1007/JHEP02(2023)245