Erasure Tolerant Quantum Memory and the Quantum Null Energy Condition in Holographic Systems

Banerjee, Avik; Kibe, Tanay; Nehal, Mittal,; Mukhopadhyay, Ayan; Roy, Pratik

doi:10.1103/physrevlett.129.191601

“…The advantage of studying Gubser flow in a holographic theory is that we can understand the quantum information theoretic aspects of such a scenario in which a many-body system can escape hydrodynamization, especially the fundamental reason why and how despite lack of hydrodynamization the evolution can reach a phase independent of the initial conditions. Many novel aspects of quantum thermodynamics [45] can be understood via explicit computations of entanglement measures (see for example [46,47]). A preliminary Footnote 1 continued τ = 0 should be close to pure Ad S 5 .…”

Section: Discussionmentioning

confidence: 99%

How Gubser flow ends in a holographic conformal theory

Banerjee,

Mitra,

Mukhopadhyay

et al. 2024

Eur. Phys. J. C

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Gubser flow is an axis-symmetric and boost-invariant evolution in a relativistic quantum field theory which is best studied by mapping $$\textbf{R}^{3,1}$$ R 3 , 1 to $$dS_{3}\times \textbf{R}$$ d S 3 × R when the field theory has conformal symmetry. We show that at late de-Sitter time, which corresponds to large proper time and central region of the future wedge within $$\textbf{R}^{3,1}$$ R 3 , 1 , the holographic conformal field theory plasma can reach a state in which $$\varepsilon = P_T = - P_L$$ ε = P T = - P L , with $$\varepsilon $$ ε , $$P_T$$ P T and $$P_L$$ P L being the energy density, transverse and longitudinal pressures, respectively. We further determine the full sub-leading behaviour of the energy–momentum tensor at late time. Restricting to flows in which the energy density decays at large transverse distance from the central axis in $$\textbf{R}^{3,1}$$ R 3 , 1 , we show that this decay should be faster than any power law. Furthermore, in this case the energy density also vanishes in $$\textbf{R}^{3,1}$$ R 3 , 1 faster than any power as we go back to early proper time. Hydrodynamic behavior can appear in intermediate time.

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“…In fact, recently it was discovered that black holes would eventually decohere any quantum superpositions [27]. Recent studies also included the storage of quantum information at finite temperature in holographic conformal field theories [28]. As Landauer's principle is one of the bridges between thermodynamics and quantum information, understanding it better in more realistic quantum interactions, such as those involving decoherence, is a first tiny step towards the grand goal of quantum gravity.…”

Section: Discussionmentioning

confidence: 99%

Decoherence and Landauer’s principle in qubit-cavity quantum-field-theory interaction

Xu

¹

,

Chen

²

,

Ong

³

2023

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We consider quantum decoherence and Landauer’s principle in qubit-cavity quantum field theory (QFT) interaction, treating the qubit as the system and cavity QFT as the environment. In particular, we investigate the changes that occur in the system with a pure initial state and environment during the decoherence process, with or without energy dissipation, and compare the results with the case in which the initial state of the system is a mixed state and thus decoherence is absent. When we choose an interaction Hamiltonian such that the energy and coherence of the system change simultaneously, the population change of the system and the energy change are the same when the initial state is mixed. However, the decoherence terms increase the von Neumann entropy of the system. In this case the energy change and decoherence of the system are not independent physical processes. The decoherence process maintains unitarity. On the other hand, if the interaction Hamiltonian does not change the energy of the system, there is only the decoherence effect. The environment will be a distribution in the basis of the displaced number state and always increases the energy. Landauer’s principle is satisfied in both cases.

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“…To explore the first question above, we will need to also quantize the bulk scalar fields representing the infalling matter in the interior explicitly. Crucial insights can come from JHEP10(2023)096 checking the validity of the quantum null energy condition [56] which has been shown to implement principles of quantum thermodynamics in holographic setups [57,58]. To explore the second direction, we will need to build on some recent developments which have explored the algebraic structures for semi-classical gravity and also quantum gravity in lower dimensions [59][60][61][62][63][64].…”

Section: Discussionmentioning

confidence: 99%

Black hole complementarity from microstate models: a study of information replication and the encoding in the black hole interior

Kibe,

Mondkar,

Mukhopadhyay

et al. 2023

J. High Energ. Phys.

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We study how the black hole complementarity principle can emerge from quantum gravitational dynamics within a local semiclassical approximation. Further developing and then simplifying a microstate model based on the fragmentation instability of a near-extremal black hole, we find that the key to the replication (but not cloning) of infalling information is the decoupling of various degrees of freedom. The infalling matter decouples from the interior retaining a residual time-dependent quantum state in the hair which encodes the initial state of the matter non-isometrically. The non-linear ringdown of the interior after energy absorption and decoupling also encodes the initial state, and transfers the information to Hawking radiation. During the Hawking evaporation process, the fragmented throats decouple from each other and the hair decouples from the throats. We find that the hair mirrors infalling information after the decoupling time which scales with the logarithm of the entropy (at the time of infall) when the average mass per fragmented throat (a proxy for the temperature) is held fixed. The decoding protocol for the mirrored information does not require knowledge of the interior, and only limited information from the Hawking radiation, as can be argued to be necessitated by the complementarity principle. We discuss the scope of the model to illuminate various aspects of information processing in a black hole.

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Erasure Tolerant Quantum Memory and the Quantum Null Energy Condition in Holographic Systems

Cited by 9 publications

References 52 publications

How Gubser flow ends in a holographic conformal theory

How Gubser flow ends in a holographic conformal theory

Decoherence and Landauer’s principle in qubit-cavity quantum-field-theory interaction

Black hole complementarity from microstate models: a study of information replication and the encoding in the black hole interior

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