Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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Efficient decoding for the Hayden-Preskill protocol
11 Pith papers cite this work, alongside 77 external citations. Polarity classification is still indexing.
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abstract
We present two particular decoding procedures for reconstructing a quantum state from the Hawking radiation in the Hayden-Preskill thought experiment. We work in an idealized setting and represent the black hole and its entangled partner by $n$ EPR pairs. The first procedure teleports the state thrown into the black hole to an outside observer by post-selecting on the condition that a sufficient number of EPR pairs remain undisturbed. The probability of this favorable event scales as $1/d_{A}^2$, where $d_A$ is the Hilbert space dimension for the input state. The second procedure is deterministic and combines the previous idea with Grover's search. The decoding complexity is $\mathcal{O}(d_{A}\mathcal{C})$ where $\mathcal{C}$ is the size of the quantum circuit implementing the unitary evolution operator $U$ of the black hole. As with the original (non-constructive) decoding scheme, our algorithms utilize scrambling, where the decay of out-of-time-order correlators (OTOCs) guarantees faithful state recovery.
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Switching Hamiltonians at a tunable time enhances time-averaged separation of local observables between initial states in Ising chains up to N=12.
Entropy injection from an environment enlarges the effective Hilbert space and enhances many-body chaos, demonstrated via analytical computation of relaxation and Lyapunov exponent in a solvable complex Brownian SYK model.
Topology change in canonical JT gravity resolves the firewall paradox by making the connected two-interior branch dominate after Page time, with gravitational constraints annihilating the firewall branch and identifying horizon vacuum and early radiation purity as the same Dirac observable.
Tripartite Haar-random states with balanced subsystems exhibit no distillable bipartite EPR entanglement, with doubly-exponential probability suppression, and imply no non-trivial logical operators in the associated quantum error-correcting code.
A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
A type III generalization of the Verlinde–van der Heijden black hole information retrieval protocol, with teleportation prefactor (d(ρ)/d(ρ′))² fixed by the index-statistics theorem.
Experimental simulation on Quantinuum and IBM processors of a postselected closed timelike curve protocol that decodes scrambled quantum information before its generation, with success governed by out-of-time-ordered correlations.
In a unitary qubit-circuit model of black-hole evaporation, a θ-scrambled initial hole state shifts firewall emergence earlier and, for θ inside an analytic window (Eq. 53), lets radiation carry away the information for every value of Mω.
Post-selection probability and fidelity of bidirectional teleportation are expressed via the Loschmidt echo, revealing initial-state dependence of fidelity and stability of probability in integrable models.
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
citing papers explorer
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Krylov Winding and Emergent Coherence in Operator Growth Dynamics
Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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Enhancing Initial-State Sensitivity through Time-Dependent Hamiltonian Readout in Ising Spin Chains
Switching Hamiltonians at a tunable time enhances time-averaged separation of local observables between initial states in Ising chains up to N=12.
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Enhancing Many-Body Chaos via Entropy Injection from Environment
Entropy injection from an environment enlarges the effective Hilbert space and enhances many-body chaos, demonstrated via analytical computation of relaxation and Lyapunov exponent in a solvable complex Brownian SYK model.
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Smooth horizons from topology change in canonical quantum gravity
Topology change in canonical JT gravity resolves the firewall paradox by making the connected two-interior branch dominate after Page time, with gravitational constraints annihilating the firewall branch and identifying horizon vacuum and early radiation purity as the same Dirac observable.
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Tripartite Haar random state has no bipartite entanglement
Tripartite Haar-random states with balanced subsystems exhibit no distillable bipartite EPR entanglement, with doubly-exponential probability suppression, and imply no non-trivial logical operators in the associated quantum error-correcting code.
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Provable quantum thermalization without statistical averages
A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
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A QFT information protocol for charged black holes
A type III generalization of the Verlinde–van der Heijden black hole information retrieval protocol, with teleportation prefactor (d(ρ)/d(ρ′))² fixed by the index-statistics theorem.
-
Experimental simulation of postselected closed timelike curves for decoding scrambled quantum information
Experimental simulation on Quantinuum and IBM processors of a postselected closed timelike curve protocol that decodes scrambled quantum information before its generation, with success governed by out-of-time-ordered correlations.
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Entanglement and firewalls in quantum circuit model of black hole evaporation
In a unitary qubit-circuit model of black-hole evaporation, a θ-scrambled initial hole state shifts firewall emergence earlier and, for θ inside an analytic window (Eq. 53), lets radiation carry away the information for every value of Mω.
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Post-Selection Probability and Fidelity of Bidirectional Teleportation
Post-selection probability and fidelity of bidirectional teleportation are expressed via the Loschmidt echo, revealing initial-state dependence of fidelity and stability of probability in integrable models.
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Rethinking quantum information in gravity and fields
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.