Work

Overlapping qubits from non-isometric maps and de Sitter tensor networks

Year: 2024

Type: article

Abstract: The emergence of a local effective theory from a more fundamental theory of quantum gravity with seemingly fewer degrees of freedom is a major puzzle of theoretical physics. A recent approach to this problem is to consider general features of the Hilbert space maps relating these theories. In this work, we construct approximately local observables, or overlapping qubits, from such non-isometric maps. We show that local processes in effective theories can be spoofed with a quantum system with fewer degrees of freedom, with deviations from actual locality identifiable as features of quantum gravity. For a concrete example, we construct two tensor network models of de Sitter space-time, demonstrating how exponential expansion and local physics can be spoofed for a long period before breaking down. Our results highlight the connection between overlapping qubits, Hilbert space dimension verification, degree-of-freedom counting in black holes, holography, and approximate locality in quantum gravity.

Source: Refubium (Universitätsbibliothek der Freien Universität Berlin)

DOI: 10.17169/refubium-45866

Authors: Cao, ChunJun, Chemissany, Wissam, Jahn, Alexander, Zimborás, Zoltán

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, U.S. Department of Defense, U.S. Department of Energy, National Institute of Standards and Technology

Awards: MURI: 36 MONTHS INCREMENTS OPTION - 24 MONTHS W/ INCREMENT ** FAADC MIGRATION NOTE - ACTION TYPE:"1" TO "A", ASSISTANCE TYPE:"4" TO "04", RECORD TYPE:"2", BUSINESS FUNDS INDICATOR:"NON", INDIVIDUAL RECIPIENT INDICATOR:"NO", RESEARCH AND DEVELOPMENT FUNDS INDICATOR:"YES", COMPETED OPPORTUNITY:"1" TO "C", NUMBER OF PROPOSALS OR APPLICATIONS:"1", AWARDING SUB-TIER AGENCY CODE "5700" DERIVED FROM AWARDING OFFICE CODE "FA9550", FUNDING SUB-TIER AGENCY CODE "5700" DERIVED FROM FUNDING OFFICE CODE "F4FGA0", PPOP COUNTRY CODE:"USA", SMALL BUSINESS INDICATOR:"O", SAM EXCEPTION:"X" **, The Institute for Quantum Information and Matter: Advancing the Entanglement Frontier, QUANTUM ERROR CORRECTION AND SPACETIME GEOMETRY

OpenAlex ID: W6887564537