Realizing the Hayden-Preskill Protocol with Coupled Dicke Models
arXiv:1909.12568 · doi:10.1103/PhysRevResearch.2.043024
Abstract
Hayden and Preskill proposed a thought experiment that Bob can recover the information Alice throws into a black hole if he has a quantum computer entangled with the black hole, and Yoshida and Kitaev recently proposed a concrete decoding scheme. The parallel question is that after a small system is thermalized with a large system, how one can decode the initial state information with the help of two entangled many-body systems. Here we propose to realize this protocol in a physical system of two Dicke models, with two cavity fields prepared in a thermofield double state. We show that the Yoshida-Kitaev protocol allows us to read out the initial spin information after it is scrambled into the cavity. We show that the readout efficiency reaches a maximum when the model parameter is tuned to the regime where the system is the most chaotic, characterized by the shortest scrambling time in the out-of-time-ordered correlation function. Our proposal opens up the possibility of discussing this profound thought experiment in a realistic setting.
5 pages, 4 figures
References in corpus (22)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- A bound on chaos
- Average Entropy of a Subsystem
- Eternal Black Holes in AdS
- Black holes and the butterfly effect
- Black holes as mirrors: quantum information in random subsystems
- Quantum thermalization through entanglement in an isolated many-body system
- Fast Scramblers
- Chaos in quantum channels
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Verified Quantum Information Scrambling
- Out-of-Time-Order Correlation for Many-Body Localization
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Quantum Simulation of Coherent Hawking-Unruh Radiation
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Disentangling Scrambling and Decoherence via Quantum Teleportation
- Emergent prethermalization signatures in out-of-time ordered correlations
- Scrambling and Complexity in Phase Space
- Resilience of scrambling measurements
- Scrambling in the Dicke model