Causal unitary qubit model of black hole evaporation
- URL: http://arxiv.org/abs/2104.14901v2
- Date: Fri, 7 May 2021 10:40:49 GMT
- Title: Causal unitary qubit model of black hole evaporation
- Abstract summary: The model operates on four qubits and is defined in terms of quantum gates and a quantum circuit.
The corresponding von Neumann entanglement entropy yields a crude (four-qubit) approximation of the Page curve.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A new simple qubit model of black hole evaporation is proposed. The model
operates on four qubits and is defined in terms of quantum gates and a quantum
circuit. The chief features of the model include explicit unitarity and (most
notably) causality which is understood as the impossibility of the transfer of
information from the interior of the black hole through its horizon. The
corresponding von Neumann entanglement entropy yields a crude (four-qubit)
approximation of the Page curve.
Related papers
- Approximate locality, black hole complementarity and overlapping qubits [48.69448060707062]
We construct a toy model of an evaporating black hole using approximately local degrees of freedom acting on overlapping" qubits.<n>The operators corresponding to the radiation and the interior are identified as two distinct representations of the same fundamental algebra.
arXiv Detail & Related papers (2026-08-10T18:01:01Z) - Quantum model for black holes and clocks [41.99844472131922]
We consider a stationary quantum system consisting of two non-interacting yet entangled subsystems, $$ and $$.<n>We identify a quantum theory characterizing $$ such that, in the quantum-to-classical crossover of the composite system, $$ behaves as a test particle within the gravitational field of a Schwarzschild Black Hole.<n>This leads us to discuss how the quantum model for $$ endows the SBH with all the characteristics of a "perfect" clock.
arXiv Detail & Related papers (2026-01-12T11:26:06Z) - Quantum Circuit Model of Black Hole Evaporation with Controlled Causal Leakage [0.0]
We study the evolution of entanglement entropy, mutual information, and entanglement negativity throughout the evaporation process.<n>We find that even small violations of semi-causality produce a non-zero residual entropy and persistent negativity across the horizon.
arXiv Detail & Related papers (2025-11-18T10:54:49Z) - Horizon quantum geometries and decoherence [49.1574468325115]
There is mounting theoretical evidence that black hole horizons induce decoherence on a quantum system.<n>This phenomenon has been shown to owe its existence to soft modes.<n>We show that the discreteness of the energy levels associated to the different geometric configurations might have strong impact on the results.
arXiv Detail & Related papers (2025-07-24T18:00:30Z) - Effects of quantum geometry on the decoherence induced by black holes [49.1574468325115]
In the present note we point out that quantum aspects of the geometry itself of the quantum black hole could significantly affect the results.<n>For selected values of the quantum of area proposed on various grounds in the literature, the decoherence induced by the horizon turns out to be limited to negligibly small values.
arXiv Detail & Related papers (2025-07-22T18:00:25Z) - Limits to the validity of quantum-optical models of the effects of gravitational redshift on photonic quantum states [39.58317527488534]
We analyze the domain of validity of a quantum optical model describing the effects of gravitational redshift on the quantum state of photons that propagate in curved spacetime.
We find that the model is consistent for small redshift, but fails for larger redshifts.
arXiv Detail & Related papers (2025-02-27T21:16:43Z) - The Ising model as a window on quantum gravity with matter [0.0]
We argue that the Ising model CFT can be used to obtain some clear insights into 3D (quantum) gravity with matter.
We provide an explanation in terms of the properties of bulk matter fields interacting with the BTZ black hole.
arXiv Detail & Related papers (2025-02-26T10:22:25Z) - Black Hole Waterfall: a unitary phenomenological model for black hole evaporation with Page curve [0.0]
We present a unitary model for black hole evaporation based on the analogy of the laboratory process of spontaneous down conversion (SPDC)
The model incorporates an additional new feature that allows for the interior Hawking partner-particles (idlers) behind the horizon to further generate new Hawking particle pairs of lower energy.
arXiv Detail & Related papers (2025-01-01T20:19:02Z) - Quantumness and quantum to classical transition in the generalized Rabi
model [17.03191662568079]
We define the quantumness of a Hamiltonian by the free energy difference between its quantum and classical descriptions.
We show that the Jaynes-Cummings and anti Jaynes-Cummings models exhibit greater quantumness than the Rabi model.
arXiv Detail & Related papers (2023-11-12T18:24:36Z) - Unitary (semi)causal quantum-circuit representation of black hole
evaporation [0.0]
A general structure of unitary evolution (evaporation) of the black hole has been derived and presented in the language of quantum circuits.
The resulting consequences for the evolution of the corresponding entanglement entropy and the entropy curve have been determined.
arXiv Detail & Related papers (2023-10-07T09:01:53Z) - 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) - Quantum simulation of Hawking radiation and curved spacetime with a
superconducting on-chip black hole [18.605453401936643]
We report a fermionic lattice-model-type realization of an analogue black hole by using a chain of 10 superconducting transmon qubits with interactions mediated by 9 transmon-type tunable couplers.
The quantum walks of quasi-particle in the curved spacetime reflect the gravitational effect near the black hole, resulting in the behaviour of stimulated Hawking radiation.
arXiv Detail & Related papers (2021-11-22T10:17:23Z) - Quantum vacuum excitation of a quasi-normal mode in an analog model of
black hole spacetime [19.767470853445776]
We use a driven-dissipative quantum fluid of microcavity polaritons as an analog model of a quantum field theory on a black-hole spacetime.
We show that, in addition to the Hawking effect at the sonic horizon, quantum fluctuations may result in a sizeable stationary excitation of a quasi-normal mode of the field theory.
arXiv Detail & Related papers (2021-10-27T14:16:12Z) - What can we learn about islands and state paradox from quantum
information theory? [10.24376036299883]
We show that the Page curve can still be realized even if information is lost and the information paradox can be attributed to the measurement problem.
Though speculative, the similarities between the black hole information problem and the measurement problem may suggest some link in the origins of the two fundamental issues of distant fields.
arXiv Detail & Related papers (2021-07-20T02:03:09Z) - Decoherence of Dirac-particle quantumness for fermionic fields in a
dilatonic black hole [5.025019042624117]
We develop a general Bloch vector representation of quantum channel in black hole spacetimes beyond single mode approximation.
The interplay between the external reservoir noise and dilaton black hole on the dynamical behavior of quantum coherence and steerability is investigated.
arXiv Detail & Related papers (2021-05-20T12:58:30Z) - Island in the Presence of Higher Derivative Terms [0.0]
We compute entanglement entropy of Hawking radiation for black holes containing certain gravitational models containing higher derivative terms.
One observes that the resultant entropy follows the Page curve, thanks to the contribution of the island.
arXiv Detail & Related papers (2020-05-18T13:44:03Z) - Lagrangian description of Heisenberg and Landau-von Neumann equations of
motion [55.41644538483948]
An explicit Lagrangian description is given for the Heisenberg equation on the algebra of operators of a quantum system, and for the Landau-von Neumann equation on the manifold of quantum states which are isospectral with respect to a fixed reference quantum state.
arXiv Detail & Related papers (2020-05-04T22:46:37Z) - A dynamical mechanism for the Page curve from quantum chaos [8.020530603813416]
We show that the Page curve can result from a simple dynamical input in the evolution of the black hole.
We conjecture that void formation may provide a microscopic explanation for the recent semi-classical prescription of including islands in the calculation of the entanglement entropy of the radiation.
arXiv Detail & Related papers (2020-02-13T19:00:03Z)
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.