Partial islands and subregion complexity in geometric secret-sharing model

Show simple item record Bhattacharya, Aranya Bhattacharyya, Arpan Nandy, Pratik Patra, Ayan K. 2021-10-01T11:45:55Z 2021-10-01T11:45:55Z 2021-09
dc.identifier.citation Bhattacharya, Aranya; Bhattacharyya, Arpan; Nandy, Pratik and Patra, Ayan K., "Partial islands and subregion complexity in geometric secret-sharing model", arXiv, Cornell University Library, DOI: arXiv:/2109.07842, Sep. 2021. en_US
dc.description.abstract We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the "complexity=volume" proposal. The model is constructed using multiboundary wormhole geometries in AdS3. The entanglement curve for secret-sharing captures a crossover between two minimal curves in the geometry apart from the usual eternal Page curve present for the complete radiation entanglement. We compute the complexity dual to the secret-sharing minimal surfaces and study their "time" evolution. When we have access to a small part of the radiation, the complexity shows a jump at the secret-sharing time larger than the Page time. Moreover, the minimal surfaces do not have access to the entire island region for this particular case. They can only access it partially. We describe this inaccessibility in the context of "classical" Markov recovery.
dc.description.statementofresponsibility by Aranya Bhattacharya, Arpan Bhattacharyya, Pratik Nandy and Ayan K. Patra
dc.language.iso en_US en_US
dc.publisher Cornell University Library en_US
dc.subject High Energy Physics - Theory en_US
dc.subject General Relativity en_US
dc.subject Quantum Cosmology en_US
dc.subject Partial islands en_US
dc.subject Subregion complexity en_US
dc.title Partial islands and subregion complexity in geometric secret-sharing model en_US
dc.type Pre-Print en_US
dc.relation.journal arXiv

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