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

ChunJun Cao1,2,3, Wissam Chemissany4, Alexander Jahn5,6

  • 1Joint Center for Quantum Information and Computer Science, University of Maryland, College Park, MD, USA.

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|January 3, 2025
PubMed
Summary
This summary is machine-generated.

Researchers created overlapping qubits to mimic local physics in quantum gravity theories with fewer degrees of freedom. Deviations reveal quantum gravity features, showing how effective theories emerge from fundamental ones.

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • Quantum Information

Background:

  • A key challenge in theoretical physics is understanding how local effective theories emerge from fundamental theories of quantum gravity with fewer degrees of freedom.
  • Recent approaches focus on analyzing the Hilbert space maps connecting these theories.

Purpose of the Study:

  • To construct approximately local observables (overlapping qubits) from non-isometric maps between quantum gravity theories.
  • To investigate how local processes in effective theories can be simulated by systems with fewer degrees of freedom.

Main Methods:

  • Construction of approximately local observables using non-isometric Hilbert space maps.
  • Development of tensor network models for de Sitter spacetime to demonstrate the concept.

Main Results:

  • Demonstrated that local processes in effective theories can be "spoofed" by quantum systems with fewer degrees of freedom.
  • Identified deviations from actual locality as signatures of quantum gravity.
  • Tensor network models of de Sitter space showed that exponential expansion and local physics can be mimicked for extended periods before breakdown.

Conclusions:

  • The study establishes a connection between overlapping qubits, Hilbert space dimension, black hole information paradox, holography, and approximate locality in quantum gravity.
  • These findings offer insights into the emergence of spacetime and locality from fundamental quantum gravity principles.