Retrieving information from a black hole using quantum machine learning

Abstract

In a seminal paper[JHEP09(2007)120], Hayden and Preskill showed that information can be retrieved from a black hole that is sufficiently scrambling, assuming that the retriever has perfect control of the emitted Hawking radiation and perfect knowledge of the internal dynamics of the black hole. In this paper, we show that for $t-$doped Clifford black holes - that is, black holes modeled by random Clifford circuits doped with an amount $t$ of non-Clifford resources - an information retrieval decoder can be learned with fidelity scaling as $\exp (-\alpha t)$ using quantum machine learning while having access only to out-of-time-order correlation functions. We show that the crossover between learnability and non-learnability is driven by the amount of non-stabilizerness present in the black hole and sketch a different approach to quantum complexity.

References in corpus (13)

• Black holes as mirrors: quantum information in random subsystems
• Application of a resource theory for magic states to fault-tolerant quantum computing
• Beyond Barren Plateaus: Quantum Variational Algorithms Are Swamped With Traps
• Magic state distillation in all prime dimensions using quantum Reed-Muller codes
• Jarzynski-like equality for the out-of-time-ordered correlator
• Quantum chaos and thermalization in gapped systems
• Optimizing quantum process tomography with unitary 2-designs
• Measuring magic on a quantum processor
• Magic-state resource theory for the ground state of the transverse-field Ising model
• Timescales in the quench dynamics of many-body quantum systems: Participation ratio vs out-of-time ordered correlator
• Conditional Mutual Information of Bipartite Unitaries and Scrambling
• Irreversibility and Entanglement Spectrum Statistics in Quantum Circuits
• Random Matrix Theory of the Isospectral twirling

Cited by in corpus (18)

• Resource theory of quantum scrambling
• Stabilizer entropy dynamics after a quantum quench
• Learning efficient decoders for quasi-chaotic quantum scramblers
• Unscrambling Quantum Information with Clifford decoders
• Stabilizer entropy in non-integrable quantum evolutions
• Phase transition in Stabilizer Entropy and efficient purity estimation
• Magic of quantum hypergraph states
• Generalization of Quantum Machine Learning Models Using Quantum Fisher Information Metric
• Quantifying non-stabilizerness via information scrambling
• Stabilizer entropy of quantum tetrahedra
• Entanglement complexity of the Rokhsar-Kivelson-sign wavefunctions
• Maximal Magic for Two-qubit States
• Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics
• Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks
• Non-stabilizerness and entanglement from cat-state injection
• Magic of discrete lattice gauge theories
• Harvesting stabilizer entropy and non-locality from a quantum field
• Disentangling quantum autoencoder