Quantum reservoir probing: an inverse paradigm of quantum reservoir computing for exploring quantum many-body physics
arXiv:2308.00898 · doi:10.21468/SciPostPhys.18.6.198
Abstract
Quantum reservoir computing (QRC) is a brain-inspired computational paradigm, exploiting natural dynamics of a quantum system for information processing. To date, a multitude of quantum systems have been utilized in the QRC, with diverse computational capabilities demonstrated accordingly. This study proposes a reciprocal research direction: probing quantum systems themselves through their information processing performance in the QRC framework. Building upon this concept, here we develop quantum reservoir probing (QRP), an inverse extension of the QRC. The QRP establishes an operator-level linkage between physical properties and performance in computing. A systematic scan of this correspondence reveals intrinsic quantum dynamics of the reservoir system from computational and informational perspectives. Unifying quantum information and quantum matter, the QRP holds great promise as a potent tool for exploring various aspects of quantum many-body physics. In this study, we specifically apply it to analyze information propagation in a one-dimensional quantum Ising chain. We demonstrate that the QRP not only distinguishes between ballistic and diffusive information propagation, reflecting the system's dynamical characteristics, but also identifies system-specific information propagation channels, a distinct advantage over conventional methods.
14 pages, 9 figures
References in corpus (58)
- Thermalization and its mechanism for generic isolated quantum systems
- A bound on chaos
- Recent Advances in Physical Reservoir Computing: A Review
- Black holes and the butterfly effect
- Black holes as mirrors: quantum information in random subsystems
- Fast Scramblers
- Exploring the many-body localization transition in two dimensions
- Operator Spreading in Random Unitary Circuits
- Chaos in quantum channels
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Two-dimensional conformal field theory and the butterfly effect
- Chaos and complexity by design
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Strong and weak thermalization of infinite non-integrable quantum systems
- Large-scale photonic Ising machine by spatial light modulation
- Harnessing disordered quantum dynamics for machine learning
- Solution of a minimal model for many-body quantum chaos
- Exploring Localization in Nuclear Spin Chains
- Slow scrambling in disordered quantum systems
- Scrambling and thermalization in a diffusive quantum many-body system
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Scrambling and entanglement spreading in long-range spin chains
- Out-of-time-ordered correlators in quantum Ising chain
- Information propagation in isolated quantum systems
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Quantum reservoir processing
- Out-of-time-order correlations in many-body localized and thermal phases
- Boosting computational power through spatial multiplexing in quantum reservoir computing
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
- Probing quantum information propagation with out-of-time-ordered correlators
- Operator entanglement entropy of the time evolution operator in chaotic systems
- Quantum reservoir computing with a single nonlinear oscillator
- Dynamical phase transitions in quantum reservoir computing
- Locality, Quantum Fluctuations, and Scrambling
- Temporal Information Processing on Noisy Quantum Computers
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Gaussian states of continuous-variable quantum systems provide universal and versatile reservoir computing
- Natural quantum reservoir computing for temporal information processing
- Finite-size scaling of out-of-time-ordered correlators at late times
- Information Processing Capacity of Spin-Based Quantum Reservoir Computing Systems
- Probing excited-state quantum phase transition in a quantum many body system via out-of-time-ordered correlator
- Spin waves propagating through a stripe magnetic domain structure and their applications to reservoir computing
- Observation of thermalization and information scrambling in a superconducting quantum processor
- Strange metal from local quantum chaos
- Reservoir Computing Approach to Quantum State Measurement
- Dissipation as a resource for Quantum Reservoir Computing
- Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
- Scrambling and quantum chaos indicators from long-time properties of operator distributions
- Machine learning with controllable quantum dynamics of a nuclear spin ensemble in a solid
- Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
- Benchmarking the role of particle statistics in Quantum Reservoir Computing
- Quantum reservoir probing of quantum phase transitions
- Information spreading and scrambling in disorder-free multiple-spin interacting models
- Thermally-robust spatiotemporal parallel reservoir computing by frequency filtering in frustrated magnets