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Essay: Emergent Holographic Spacetime from Quantum Information.

Tadashi Takayanagi1

  • 1Inamori Research Institute for Science, Yukawa Institute for Theoretical Physics, Center for Gravitational Physics and Quantum Information, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan and , 620 Suiginya-cho, Shimogyo-ku, Kyoto 600-8411, Japan.

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Holographic duality links gravity and quantum systems. Quantum information explains how spacetime geometry emerges from entangled qubits, guiding research toward quantum gravity.

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Area of Science:

  • Quantum Gravity
  • String Theory
  • Quantum Information Theory

Background:

  • Holographic duality connects gravitational theories with quantum many-body systems.
  • Quantum information theory is key to linking microscopic quantum structures with spacetime geometry.
  • Entanglement entropy in quantum systems corresponds to extremal surface areas in gravitational spacetimes.

Purpose of the Study:

  • Discuss open problems and future prospects in holographic duality and quantum gravity.
  • Explore the relationship between quantum circuits and holographic spacetimes.
  • Extend holography to cosmological spacetimes and investigate the emergence of time.

Main Methods:

  • Utilizing quantum complexity theories to understand quantum circuits corresponding to holographic spacetimes.
  • Studying concrete examples of holography within string theory.
  • Applying quantum information concepts, including pseudoentropy and timelike entanglement, to explore emergent time.

Main Results:

  • Gravitational spacetimes can emerge from large numbers of entangled qubits.
  • Entanglement entropy provides a calculable link between quantum systems and spacetime geometry.
  • Quantum information offers tools to extend holography and understand emergent time.

Conclusions:

  • Further research is needed to fully understand quantum gravity through holographic principles.
  • Connecting quantum circuits to specific holographic spacetimes is a crucial next step.
  • Pseudoentropy and timelike entanglement are proposed as valuable tools for exploring emergent time in cosmology.