Holographic spacetime, black holes and quantum error correcting codes: A review

• URL: http://arxiv.org/abs/2110.14669v2
• Date: Sat, 21 May 2022 06:48:55 GMT
• Title: Holographic spacetime, black holes and quantum error correcting codes: A review
• Authors: Tanay Kibe, Prabha Mandayam and Ayan Mukhopadhyay
• Abstract summary: We review quantum error correction and relevant recovery maps with toy examples based on tensor networks. We discuss how it provides the desired framework for bulk reconstruction in which apparent inconsistencies with properties of the operator algebra are naturally resolved. We motivate and discuss a class of tractable microstate models of black holes which can illuminate how the black hole complementarity principle can emerge operationally.
• Score: 2.347541183179271
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This article reviews the progress in our understanding of the reconstruction of the bulk spacetime in the holographic correspondence from the dual field theory including an account of how these developments have led to the reproduction of the Page curve of the Hawking radiation from black holes. We review quantum error correction and relevant recovery maps with toy examples based on tensor networks, and discuss how it provides the desired framework for bulk reconstruction in which apparent inconsistencies with properties of the operator algebra in the dual field theory are naturally resolved. The importance of understanding the modular flow in the dual field theory has been emphasized. We discuss how the state-dependence of reconstruction of black hole microstates can be formulated in the framework of quantum error correction with inputs from extremal surfaces along with a quantification of the complexity of encoding of bulk operators. Finally, we motivate and discuss a class of tractable microstate models of black holes which can illuminate how the black hole complementarity principle can emerge operationally without encountering information paradoxes, and provide new insights into generation of desirable features of encoding into the Hawking radiation.

Related papers

• Building holographic code from the boundary [4.443525249044746]
  Holographic quantum error-correcting code, the quantum-information structure hypothesized for the AdS/CFT correspondence, has been attracting increasing attention in new directions. We initiate a novel approach for building holographic code that can be applied in potentially broad and interdisciplinary contexts.
  arXiv  Detail & Related papers  (2024-07-14T16:51:17Z)
• On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures [50.24983453990065]
  We show the ability to restore states of quantum systems from evolution induced by quantum dynamical semigroups perturbed by covariant measures. Our procedure describes reconstruction of quantum states transmitted via quantum channels and as a particular example can be applied to reconstruction of photonic states transmitted via optical fibers.
  arXiv  Detail & Related papers  (2023-12-02T09:56:00Z)
• Page Time as a Transition of Information Channels: High-fidelity Information Retrieval for Radiating Black Holes [11.13371546439765]
  In this Letter, we demonstrate that this view can be relaxed in a new postselection model. We investigate information recoverability in a radiating black hole through the non-unitary dynamics that projects the randomly-selected modes from a scrambling unitary. We show that the model has the merit of producing the von Neumann entropy of black holes consistent with the island formula calculation. In this model the Page time gains a new interpretation as the transition point between two channels of information transmission when sufficient amounts of effective modes are annihilated inside the horizon.
  arXiv  Detail & Related papers  (2023-09-05T03:12:48Z)
• Editorial: New Frontiers in Holographic Duality -- From quantum complexity and black holes to hydrodynamics and neutron stars [0.6091702876917281]
  holographic duality has revolutionised our understanding of gauge theories, quantum many-body systems and also quantum black holes. This topical issue is a collection of review articles on recent advances in fundamentals of holographic duality.
  arXiv  Detail & Related papers  (2022-10-07T04:23:09Z)
• The black hole interior from non-isometric codes and complexity [0.0]
  We show how quantum error correction can be used to explain the emergence of the black hole interior. We show that many previous ideas, such as the existence of a large number of "null states", fit naturally into this framework.
  arXiv  Detail & Related papers  (2022-07-13T22:47:45Z)
• Snowmass White Paper: Quantum Aspects of Black Holes and the Emergence of Spacetime [0.0]
  Recently quantum information contained in Hawking radiation has been calculated, verifying a key aspect of the consistency of black hole evaporation with quantum mechanical unitarity. We review these developments and describe some of the deep open questions in this subject. These include the nature of the black hole interior, potential applications to quantum cosmology, the gravitational explanation of the fine structure of black holes, and the development of further connections to quantum information and laboratory quantum simulation.
  arXiv  Detail & Related papers  (2022-01-09T22:01:30Z)
• The Hintons in your Neural Network: a Quantum Field Theory View of Deep Learning [84.33745072274942]
  We show how to represent linear and non-linear layers as unitary quantum gates, and interpret the fundamental excitations of the quantum model as particles. On top of opening a new perspective and techniques for studying neural networks, the quantum formulation is well suited for optical quantum computing.
  arXiv  Detail & Related papers  (2021-03-08T17:24:29Z)
• Holographic tensor network models and quantum error correction: A topical review [78.28647825246472]
  Recent progress in studies of holographic dualities has led to a confluence with concepts and techniques from quantum information theory. A particularly successful approach has involved capturing holographic properties by means of tensor networks.
  arXiv  Detail & Related papers  (2021-02-04T14:09:21Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories [55.53519491066413]
  We find pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace. We analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories.
  arXiv  Detail & Related papers  (2020-09-24T18:00:13Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.