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Entanglement, quantum randomness, and complexity beyond scrambling

Abstract Scrambling is a process by which the state of a quantum system is effectively randomized due to the global entanglement that “hides” initially localized quantum information. Closely related notions include quantum chaos and thermalization. Such phenomena play key roles in the study of quantum gravity, many-body physics, quantum statistical mechanics, quantum information...

Quantum algorithms for topological and geometric analysis of data

, California 90089-0484, USAPaolo Zanardi AuthorsSearch for Seth Lloyd in:Nature Research journals • PubMed • Google ScholarSearch for Silvano Garnerone in:Nature Research journals • PubMed • Google ... interests The authors declare no competing financial interests. Corresponding author Correspondence to Seth Lloyd. Rights and permissions This work is licensed under a Creative Commons Attribution 4.0

Unitarity of black hole evaporation in final-state projection models

Seth Lloyd 1 John Preskill 0 0 Institute for Quantum Information and Matter , Caltech, Pasadena, CA 91125, U.S.A 1 Department of Mechanical Engineering , MIT, Cambridge, MA 02139, U.S.A Almheiri

A Turing test for free will

BY SETH LLOYD * 0 1 0 The Santa Fe Institute , 1399 Hyde Park Road, Santa Fe, NM 87501 , USA 1 Department of Mechanical Engineering, Massachusetts Institute of Technology , MIT 3-160, Cambridge, MA