Thread/State correspondence: from bit threads to qubit threads
arXiv:2210.08783 · doi:10.1007/JHEP02(2023)245
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~\cite{Lin:2022agc} 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.
51 pages, 13 figures. arXiv admin note: text overlap with arXiv:2208.08963
References in corpus (17)
- A class of quantum many-body states that can be efficiently simulated
- Surface/State Correspondence as a Generalized Holography
- Holographic entanglement contour, bit threads, and the entanglement tsunami
- Nuts and Bolts for Creating Space
- Entanglement in De Sitter Space
- Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
- Holography as deep learning
- Lorentzian threads as 'gatelines' and holographic complexity
- Bit threads, Einstein's equations and bulk locality
- Crossing versus locking: Bit threads and continuum multiflows
- The PEE aspects of entanglement islands from bit threads
- Deriving the PEE proposal from the Locking bit thread configuration
- Surface growth scheme for bulk reconstruction and tensor network
- Perfect tensor hyperthreads
- Bending the Bruhat-Tits Tree II: the p-adic BTZ Black hole and Local Diffeomorphism on the Bruhat-Tits Tree
- Bending the Bruhat-Tits Tree I:Tensor Network and Emergent Einstein Equations
- Hyperthreads in holographic spacetimes