Related papers: Non-local computation and the black hole interior

Non-local computation and the black hole interior

URL: http://arxiv.org/abs/2304.11184v3
Date: Thu, 11 Jan 2024 16:36:03 GMT
Title: Non-local computation and the black hole interior
Authors: Alex May and Michelle Xu
Abstract summary: In a two sided black hole, systems falling in from opposite regions can meet inside the black hole and interact. Here, we relate these behind the horizon interactions to non-local quantum computations. We obtain a boundary signature for these interior collisions which is stated in terms of the mutual information.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: In a two sided black hole, systems falling in from opposite asymptotic regions can meet inside the black hole and interact. This is the case even while the two CFTs describing each asymptotic region are non-interacting. Here, we relate these behind the horizon interactions to non-local quantum computations. This gives a quantum circuit perspective on these interactions, which applies whenever the interaction occurs in the past of a certain extremal surface that sits inside the black hole and in arbitrary dimension. Whenever our perspective applies, we obtain a boundary signature for these interior collisions which is stated in terms of the mutual information. We further revisit the connection discussed earlier between bulk interactions in one sided AdS geometries and non-local computation, and recycle some of our techniques to offer a new perspective on making that connection precise.

Related papers

Hamiltonians for Quantum Systems with Contact Interactions [49.1574468325115]
We show that in the limit one obtains the one-body Hamiltonian for the light particle subject to $N$ (non-local) point interactions placed at fixed positions. We will verify that such non-local point interactions do not exhibit the ultraviolet pathologies that are present in the case of standard local point interactions.
arXiv Detail & Related papers (2024-07-09T14:04:11Z)
Hamiltonian for a Bose gas with Contact Interactions [49.1574468325115]
We study the Hamiltonian for a Bose gas in three dimensions of $N geq 3$ spinless particles interacting via zero-range or contact interactions.
arXiv Detail & Related papers (2024-03-19T10:00:12Z)
Signatures of Rotating Black Holes in Quantum Superposition [0.09118034517251884]
We show that a two-level system interacting with a quantum field residing in the spacetime exhibits resonant peaks in its response at certain values of the superposed masses. Our results suggest that deeper insights into quantum-gravitational phenomena may be accessible via tools in relativistic quantum information and curved spacetime quantum field theory.
arXiv Detail & Related papers (2023-10-16T22:24:21Z)
Constraints on physical computers in holographic spacetimes [49.1574468325115]
We show that there are computations on $n$ qubits which cannot be implemented inside of black holes with entropy less than $O(2n)$. We argue computations happening inside the black hole must be implementable in a programmable quantum processor.
arXiv Detail & Related papers (2023-04-19T18:00:50Z)
Bell inequalities with overlapping measurements [52.81011822909395]
We study Bell inequalities where measurements of different parties can have overlap. This allows to accommodate problems in quantum information. The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
arXiv Detail & Related papers (2023-03-03T18:11:05Z)
Causal connectability between quantum systems and the black hole interior in holographic duality [7.226961695849204]
In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. This identification has many puzzles, including the boundary descriptions of the event horizons, the interiors of the black hole, and the singularities.
arXiv Detail & Related papers (2021-10-11T18:00:01Z)
Six-point functions and collisions in the black hole interior [71.67770216265583]
We consider two signals sent from the boundaries into the black hole interior shared between the two regions. We compute three different out-of-time-order six-point functions to quantify various properties of the collision.
arXiv Detail & Related papers (2021-05-26T18:01:23Z)
Size and momentum of an infalling particle in the black hole interior [3.793716747008753]
We discuss relations between operator size, quantum complexity, and the momentum of an infalling particle in the black hole interior. The notion of size here differs slightly from the size which has previously been related to momentum of exterior particles. The fact that both exterior and interior momentum are related to operator size growth is a manifestation of complementarity.
arXiv Detail & Related papers (2021-02-10T19:13:27Z)
Universality, intertwiners and black hole information [0.0]
The central question in this article is how information does leak out from black holes. We propose the existence of certain operators whose correlations extend across the black hole atmosphere and range into the interior. We derive the Page curve and argue that information is transferred to the radiation via black hole intertwiners.
arXiv Detail & Related papers (2020-10-23T17:51:04Z)
Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits [62.997667081978825]
We show that a controlled interaction with the environment may help to create a state, dubbed as em dark'', which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different states act as a computational basis. This approach offers new possibilities for storing, protecting and manipulating quantum information in open systems.
arXiv Detail & Related papers (2020-02-01T15:57:37Z)

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