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- W3100805527 abstract "We introduce binding complexity, a new notion of circuit complexity which quantifies the difficulty of distributing entanglement among multiple parties, each consisting of many local degrees of freedom. We define binding complexity of a given state as the minimal number of quantum gates that must act between parties to prepare it. To illustrate the new notion we compute it in a toy model for a scalar field theory, using certain multiparty entangled states which are analogous to configurations that are known in AdS/CFT to correspond to multiboundary wormholes. Pursuing this analogy, we show that our states can be prepared by the Euclidean path integral in $(0+1)$-dimensional quantum mechanics on graphs with wormhole-like structure. We compute the binding complexity of our states by adapting the Euler-Arnold approach to Nielsen's geometrization of gate counting, and find a scaling with entropy that resembles a result for the interior volume of holographic multiboundary wormholes. We also compute the binding complexity of general coherent states in perturbation theory, and show that for double-trace deformations of the Hamiltonian the effects resemble expansion of a wormhole interior in holographic theories." @default.
- W3100805527 created "2020-11-23" @default.
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- W3100805527 date "2019-02-01" @default.
- W3100805527 modified "2023-09-28" @default.
- W3100805527 title "Binding complexity and multiparty entanglement" @default.
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- W3100805527 doi "https://doi.org/10.1007/jhep02(2019)069" @default.
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