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.
Efficient decoding for the Hayden-Preskill protocol
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
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.
citation-role summary
background 1
citation-polarity summary
verdicts
UNVERDICTED 5roles
background 1polarities
background 1representative citing papers
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.
Generalizes Verlinde-van der Heijden protocol to type III factors in QFT, yielding thermodynamic interpretation and charge quantization via 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.
citing papers explorer
-
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.
-
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.
-
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.
-
A QFT information protocol for charged black holes
Generalizes Verlinde-van der Heijden protocol to type III factors in QFT, yielding thermodynamic interpretation and charge quantization via 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.