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Digital Quantum Simulation of Minimal AdS/CFT.

L García-Álvarez1, I L Egusquiza2, L Lamata1

  • 1Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain.

Physical Review Letters
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PubMed
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We present a digital quantum simulation of a minimal anti-de Sitter/conformal field theory (AdS/CFT) model using the Sachdev-Ye-Kitaev model. This approach enables the study of quantum gravity and information scrambling on quantum computers.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • High Energy Physics

Background:

  • The Sachdev-Ye-Kitaev (SYK) model describes interacting Majorana fermions with all-to-all random couplings.
  • AdS/CFT correspondence relates gravitational theories to quantum field theories.

Purpose of the Study:

  • To propose a digital quantum simulation of a minimal AdS/CFT model.
  • To explore the potential of controllable quantum platforms for simulating quantum gravity.
  • To investigate methods for probing nonequilibrium dynamics and information scrambling.

Main Methods:

  • Encoding nonlocal fermionic operators of the SYK model onto qubits.
  • Implementing the dynamics of the SYK model using digital quantum simulation techniques.
  • Developing protocols for measuring nonequilibrium properties and information scrambling.

Main Results:

  • A feasible digital quantum simulation protocol for a minimal AdS/CFT model is presented.
  • The proposed method allows for efficient implementation of SYK model dynamics.
  • A pathway for probing information scrambling and quantum gravity phenomena is established.

Conclusions:

  • Digital quantum simulation offers a viable route to explore complex quantum systems like AdS/CFT models.
  • Advanced quantum platforms such as trapped ions and superconducting circuits can realize this simulation.
  • The work provides a protocol for studying quantum gravity and information scrambling in a simplified setting.