Emergence of Fermi-Dirac Thermalization in the Quantum Computer Core

Abstract

We model an isolated quantum computer as a two-dimensional lattice of qubits (spin halves) with fluctuations in individual qubit energies and residual short-range inter-qubit couplings. In the limit when fluctuations and couplings are small compared to the one-qubit energy spacing, the spectrum has a band structure and we study the quantum computer core (central band) with the highest density of states. Above a critical inter-qubit coupling strength, quantum chaos sets in, leading to quantum ergodicity of eigenstates in an isolated quantum computer. The onset of chaos results in the interaction induced dynamical thermalization and the occupation numbers well described by the Fermi-Dirac distribution. This thermalization destroys the noninteracting qubit structure and sets serious requirements for the quantum computer operability.

revtex, 8 pages, 9 figures

Cited by in corpus (31)

• Quantum Quenches, Thermalization and Many-Body Localization
• Entanglement Across a Transition to Quantum Chaos
• Thermalization and ergodicity in many-body open quantum systems
• Spin relaxation in a complex environment
• Dynamical localization simulated on a few qubits quantum computer
• Quantum master equation for the microcanonical ensemble
• Many-body localization and thermalization in the full probability distribution function of observables
• Chaos and Thermalization in the Spin-Boson Dicke Model
• Thermalization in the Two-Body Random Ensemble
• Strength functions, entropies and duality in weakly to strongly interacting fermionic systems
• Out-of-equilibrium dynamics and thermalization of string order
• Thermalization in one- plus two-body ensembles for dense interacting boson systems
• Dynamical thermalization in isolated quantum dots and black holes
• Stability of quantum motion in regular systems: a uniform semiclassical approach
• Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
• Phase-space characterization of complexity in quantum many-body dynamics
• Dynamical thermalization in Bose-Hubbard systems
• Probing internal bath dynamics by a Rabi oscillator-based detector
• Correcting Coherent Errors by Random Operation on Actual Quantum Hardware
• Suppression of quantum chaos in a quantum computer hardware
• Phase diagram for the Grover algorithm with static imperfections
• Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians
• Manifold algorithmic errors in quantum computers with static internal imperfections
• Quantum pathology of static internal imperfections in flawed quantum computers
• Kraus decomposition for chaotic environments
• Internal temperature of quantum chaotic systems at the nanoscale and its detection by a microscopic thermometer
• Effect of a lattice upon an interacting system of electrons in two dimensions: Breakdown of scaling and decay of persistent currents
• Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole
• Breakdown of quantum-classical correspondence and dynamical generation of entanglement
• Classical periodic trajectories and quantum scars in many-spin systems
• Modeling the dynamics of quantum systems coupled to large dimensional baths using effective energy states