Quantum Speed Limits Across the Quantum-to-Classical Transition

Abstract

Quantum speed limits set an upper bound to the rate at which a quantum system can evolve. Adopting a phase-space approach we explore quantum speed limits across the quantum to classical transition and identify equivalent bounds in the classical world. As a result, and contrary to common belief, we show that speed limits exist for both quantum and classical systems. As in the quantum domain, classical speed limits are set by a given norm of the generator of time evolution.

5+3pp, 1 figure, accepted in Phys. Rev. Lett

References in corpus (8)

• Quantum speed limit for physical processes
• Quantum speed limits in open system dynamics
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Quantum Speed Limit is Not Quantum
• Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
• Nonexponential quantum decay under environmental decoherence
• A generalization of Margolus-Levitin bound

Cited by in corpus (108)

• Non-Hermitian Physics
• Quantum Fisher information matrix and multiparameter estimation
• Speed Limit for Classical Stochastic Processes
• Quantum Speed Limit is Not Quantum
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Fluctuations in extractable work bound the charging power of quantum batteries
• Speed limit for open quantum systems
• Time-information uncertainty relations in thermodynamics
• Geometrical Bounds of the Irreversibility in Markovian Systems
• Stochastic time-evolution, information geometry and the Cramer-Rao Bound
• The dissipation-time uncertainty relation
• Unified Approach to Classical Speed Limit and Thermodynamic Uncertainty Relation
• Ultimate Speed Limits to the Growth of Operator Complexity
• Unifying Quantum and Classical Speed Limits on Observables
• Tight, robust, and feasible quantum speed limits for open dynamics
• Quantum speed limits and the maximal rate of information production
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Action quantum speed limits
• Demonstration of quantum brachistochrones between distant states of an atom
• Universal Bound on Energy Cost of Bit Reset in Finite Time
• Intramolecular vibrational energy redistribution and the quantum ergodicity transition: a phase space perspective
• Probing Quantum Speed Limits with Ultracold Gases
• Speed Limits for Macroscopic Transitions
• Bounds in Nonequilibrium Quantum Dynamics
• Resource speed limits: Maximal rate of resource variation
• Quantum speed limits on operator flows and correlation functions
• Operational definition of a quantum speed limit
• Topological Speed Limit
• Quantum Speed Limits under Continuous Quantum Measurements
• There is no general connection between the quantum speed limit and non-Markovianity
• Geometric quantum speed limits and short-time accessibility to unitary operations
• Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
• Quantum speed limit constraints on a nanoscale autonomous refrigerator
• Realistic Shortcuts to Adiabaticity in Optical Transfer
• Bounding generalized relative entropies: Nonasymptotic quantum speed limits
• Optimising the relaxation route with optimal control
• Diverging quantum speed limits: a herald of classicality
• Excited-state quantum phase transition and the quantum speed limit
• Speed limits on correlations in bipartite quantum systems
• Convergence rates for quantum evolution & entropic continuity bounds in infinite dimensions
• Quantum speed limit for thermal states
• Thermodynamic speed limits for mechanical work
• Thermodynamics and the quantum speed limit in the non-Markovian regime
• Quantum speed limit for complex dynamics
• Quantum speed limit helps interpret geometric measure of entanglement
• Exact Delta Kick Cooling, Time-Optimal Control of Scale-Invariant Dynamics, and Shortcuts to Adiabaticity Assisted by Kicks
• A thermodynamic uncertainty relation for a system with memory
• Complexity of Pure and Mixed Qubit Geodesic Paths on Curved Manifolds
• Tight and attainable quantum speed limit for open systems
• Decays of unstable quantum systems
• Speed limit for open systems coupled to general environments
• Bhatia-Davis formula in the quantum speed limit
• Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap
• Quantum speed limit of a noisy continuous-variable system
• Single-Atom Verification of the Optimal Trade-Off between Speed and Cost in Shortcuts to Adiabaticity
• Unified entropies and quantum speed limits for nonunitary dynamics
• Quantum Speed Limit under Brachistochrone Evolution
• Quantum speed limits in arbitrary phase spaces
• Quantum Speed Limit in Terms of Coherence Variations
• Rapid biexciton state preparation in a quantum dot using on-off pulse-sequences
• Quantum lower and upper speed limits
• Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems
• Classical and quantum speed limits
• Quantum Speed Limits Based on Schatten Norms: Universality and Tightness
• Analyticity constraints bound the decay of the spectral form factor
• Quantum speed limit from a quantum-state-diffusion method
• Purity Speed Limit of Open Quantum Systems from Magic Subspaces
• Bounds on the breaking time for entanglement-breaking channels
• Hybrid quantum-classical simulation of quantum speed limits in open quantum systems
• Quantum speed of evolution in a Markovian bosonic environment
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Fast Functionalization with High Performance in the Autonomous Information Engine
• Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
• Wigner distribution of Sine Gordon and Kink solitons
• Operational Dynamical Modeling of spin 1/2 relativistic particles: the Dirac equation and its classical limit
• Minimum time connection between non-equilibrium steady states: the Brownian gyrator
• Maximum speed of dissipation
• A new route toward orthogonality
• Understanding two-photon double ionization of helium from the perspective of the characteristic time of dynamic transitions
• Quantum speed limit for the maximum coherent state under squeezed environment
• Quantum acceleration by an ancillary system in non-Markovian environments
• Margolus-Levitin speed limit across quantum to classical regimes based on trace distance
• Quantum Speed Limit for Change of Basis
• Quantum speed limit of a single atom in a squeezed optical cavity mode
• Speed limit, dissipation bound and dissipation-time trade-off in thermal relaxation processes
• Generalized speed limits for classical stochastic systems and their applications to relaxation, annealing, and pumping processes
• Quantum speed limit and stability of coherent states in quantum gravity
• Quantum-imaginarity-based quantum speed limit
• Probing quantum phase transition via quantum speed limit
• A Unifying Quantum Speed Limit For Time-Independent Hamiltonian Evolution
• Optimal synchronisation to a limit cycle
• Active charge and discharge of a capacitor: scaling solution and energy optimization
• Generalized Entropic Quantum Speed Limits
• Correlations and energy in mediated dynamics
• Thermodynamic interpretation to Stochastic Fisher Information and Single-Trajectory Speed Limits
• Coherent Quantum Speed Limits
• Quantum Speed Limits Based on the Sharma-Mittal Entropy
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Quantum-to-Classical Transition via Single-Shot Generalized Measurements
• Quantum speed limit and nonclassicality in open quantum system models using the Wigner function
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• Attainable quantum speed limit for N-dimensional quantum systems
• Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
• Bounds on the rates of statistical divergences and mutual information via stochastic thermodynamics
• The temporal resolution limit in quantum sensing
• Propagation-Distance Limit for a Classical Nonlocal Optical System
• Implementation of multiparticle quantum speed limits on observables
• Approaching the Quantum Speed Limit in Quantum Gates with Geometric Control