The maximum speed of dynamical evolution

Abstract

We discuss the problem of counting the maximum number of distinct states that an isolated physical system can pass through in a given period of time---its maximum speed of dynamical evolution. Previous analyses have given bounds in terms of the standard deviation of the energy of the system; here we give a strict bound that depends only on E-E0, the system's average energy minus its ground state energy. We also discuss bounds on information processing rates implied by our bound on the speed of dynamical evolution. For example, adding one Joule of energy to a given computer can never increase its processing rate by more than about 3x10^33 operations per second.

14 pages, no figures, LaTex2e (elsart). This is the published version, which includes brief semi-classical and relativistic discussions not included in the original preprint

Cited by in corpus (487)

• Quantum-enhanced measurements: beating the standard quantum limit
• Quantum Coherence as a Resource
• Non-Hermitian Physics
• Ultimate physical limits to computation
• Pseudo-Hermitian Representation of Quantum Mechanics
• Complexity Equals Action
• Dynamical quantum phase transitions: a review
• Complexity, action, and black holes
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Enhancing the charging power of quantum batteries
• Quantum speed limit for physical processes
• Quantum speed limit for non-Markovian dynamics
• Optimal Control at the Quantum Speed Limit
• Quantum speed limits in open system dynamics
• Quantum enhanced positioning and clock synchronization
• Quantacell: Powerful charging of quantum batteries
• Quantum limits to dynamical evolution
• The quantum harmonic Otto cycle
• How to quantify coherence: Distinguishing speakable and unspeakable notions
• Geometry and non-adiabatic response in quantum and classical systems
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Quantum Brachistochrone
• The fundamental limit on the rate of quantum dynamics: the unified bound is tight
• Quantum speed limits, coherence and asymmetry
• Noether charge, black hole volume, and complexity
• Colloquium: Quantum Batteries
• Quantum interferometric visibility as a witness of general relativistic proper time
• Generalized Geometric Quantum Speed Limits
• Speed Limit for Classical Stochastic Processes
• Trade-off between speed and cost in shortcuts to adiabaticity
• General optimality of the Heisenberg limit for quantum metrology
• Energy-time uncertainty relation for driven quantum systems
• Quantum thermal machines and batteries
• Quantum thermal absorption machines: refrigerators, engines and clocks
• Quantum speed limit for arbitrary initial states
• Geometric derivation of the quantum speed limit
• Quantum Speed Limits Across the Quantum-to-Classical Transition
• Quantum Speed Limit is Not Quantum
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Quantum speedup in a memory environment
• Local PT symmetry violates the no-signaling principle
• Observation of Fast Evolution in Parity-Time-Symmetric System
• Tightening Quantum Speed Limits for Almost All States
• Fluctuations in extractable work bound the charging power of quantum batteries
• Quantum-enhanced sensing of a mechanical oscillator
• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Optimal control of complex atomic quantum systems
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Scrambling the spectral form factor: unitarity constraints and exact results
• Speed limit for open quantum systems
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Autonomous quantum clocks: does thermodynamics limit our ability to measure time?
• Time-information uncertainty relations in thermodynamics
• Environment assisted speed-up of the field evolution in cavity QED
• Quantum limits to the energy resolution of magnetic field sensors
• Discontinuities of the quantum Fisher information and the Bures metric
• Geometrical Bounds of the Irreversibility in Markovian Systems
• Superadiabatic Controlled Evolutions and Universal Quantum Computation
• Bell's Theorem for Temporal Order
• Black holes, complexity and quantum chaos
• Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems
• Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
• Quantum Coherence Sets The Quantum Speed Limit For Mixed States
• An information theoretical analysis of quantum optimal control
• Positioning and clock synchronization through entanglement
• One decade of quantum optimal control in the chopped random basis
• Fundamental decoherence from quantum gravity: a pedagogical review
• Thermodynamic uncertainty relation for general open quantum systems
• Simple expression for the quantum Fisher information matrix
• Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
• Quantum Brachistochrone Problem and the Geometry of the State Space in Pseudo-Hermitian Quantum Mechanics
• Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
• Ultimate Speed Limits to the Growth of Operator Complexity
• Estimation of Gaussian quantum states
• Holographic Foam, Dark Energy and Infinite Statistics
• Speeding up and slowing down the relaxation of a qubit by optimal control
• Elementary Derivation for Passage Times
• Classical-driving-assisted quantum speed-up
• Unifying Quantum and Classical Speed Limits on Observables
• Mechanism for quantum speedup in open quantum systems
• Geometric Speed Limit of Accessible Many-Body State Preparation
• Tight, robust, and feasible quantum speed limits for open dynamics
• Kind of entanglement that speeds up quantum evolution
• Speed limits for quantum gates in multi-qubit systems
• Fast-forwarding of Hamiltonians and Exponentially Precise Measurements
• Quantum lithography, entanglement and Heisenberg-limited parameter estimation
• Quantum-speed-limit time for multiqubit open systems
• Quantum speed limits for leakage and decoherence
• Probing spacetime foam with extragalactic sources
• Shortcut to adiabatic gate teleportation
• The role of entanglement in dynamical evolution
• Galactic Gradients, Postbiological Evolution and the Apparent Failure of SETI
• Quantum Speed Limit For Mixed States Using Experimentally Realizable Metric
• The Basics of Perfect Communication through Quantum Networks
• Geometric quantum speed limits: a case for Wigner phase space
• Speeding up critical system dynamics through optimized evolution
• Exactly solvable two-level quantum systems and Landau-Zener interferometry
• Comment on "Geometric derivation of the quantum speed limit"
• Quantum speed limits and the maximal rate of information production
• On the Connection Between Entanglement and the Speed of Quantum Evolution
• Optimal control of a qubit in an optical cavity
• Zermelo Navigation and a Speed Limit to Quantum Information Processing
• Entanglement of quantum clocks through gravity
• Quantum Speed Limit and optimal evolution time in a two-level system
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Statistical speed of quantum states: Generalized quantum Fisher information and Schatten speed
• Quantum measurement bounds beyond the uncertainty relations
• Action quantum speed limits
• Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
• Strong energy condition and complexity growth bound in holography
• Demonstration of quantum brachistochrones between distant states of an atom
• Entanglement and the Lower Bounds on the Speed of Quantum Evolution
• Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence
• Quantum speed limit for a mixed initial state
• An efficient non-linear Feshbach engine
• Holographic complexity and non-commutative gauge theory
• Quantum Speed Limit for States with a Bounded Energy Spectrum
• Probing Quantum Speed Limits with Ultracold Gases
• The Parity Operator: applications in quantum metrology
• Advances in Quantum Radar and Quantum LiDAR
• Thermodynamic uncertainty relation and thermodynamic speed limit in deterministic chemical reaction networks
• Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential
• Necessary Condition for the Quantum Adiabatic Approximation
• A generalization of Margolus-Levitin bound
• Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
• Quantum Speed Limit and Optimal Control of Many-Boson Dynamics
• Quantum speed limits for information and coherence
• Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
• Time-optimal navigation through quantum wind
• Speed Limits for Macroscopic Transitions
• Detecting metrologically useful asymmetry and entanglement by a few local measurements
• Quantum speed limits and optimal Hamiltonians for driven systems in mixed states
• Quantum Metrological Bounds for Vector Parameter
• Shortcut-to-adiabaticity quantum Otto refrigerator
• Divergences in the rate of complexification
• Reverse Quantum Speed Limit: How Slow Quantum Battery can Discharge?
• Complexity is Simple
• Bounds in Nonequilibrium Quantum Dynamics
• Speed limits in Liouville space for open quantum systems
• Observing crossover between quantum speed limits
• Optimizing for an arbitrary perfect entangler. II. Application
• Doubly geometric quantum control
• Quantum Speed Limits for Observables
• Quantum speed limits on operator flows and correlation functions
• Operational definition of a quantum speed limit
• Holographic local quench and effective complexity
• On complexity growth in massive gravity theories, the effects of chirality and more
• Reinforcement learning optimization of the charging of a Dicke quantum battery
• From quantum speed limits to energy-efficient quantum gates
• Fast quantum computation at arbitrarily low energy
• Quantum Speed Limits under Continuous Quantum Measurements
• Controlling quantum critical dynamics of isolated systems
• Topological Speed Limit
• From spacetime foam to holographic foam cosmology
• Classical simulation of short-time quantum dynamics
• Quantum Speed Limits for Quantum Information Processing Tasks
• Performance Evaluation of Adiabatic Quantum Computation via Quantum Speed Limits and Possible Applications to Many-Body Systems
• Hybrid Optimization Schemes for Quantum Control
• There is no general connection between the quantum speed limit and non-Markovianity
• Entropic Energy-Time Uncertainty Relation
• Fundamental Speed Limits to the Generation of Quantumness
• Entanglement and the Speed of Evolution in Mixed States
• An improved bound for quantum speed limit time in open quantum systems by introducing an alternative fidelity
• Tight Upper Bound Of The Maximum Speed Of Evolution Of A Quantum State
• Limits on Spacetime Foam
• Energy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem
• Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
• New Constraints on Quantum Gravity from X-ray and Gamma-Ray Observations
• Life as the Explanation of the Measurement Problem
• On the Noether charge and the gravity duals of quantum complexity
• Quantum states of dark solitons in the 1D Bose gas
• Quantum metrology in a non-Markovian quantum evolution
• General solution to inhomogeneous dephasing and smooth pulse dynamical decoupling
• The initial-state dependence of quantum speed limit
• The roles of drift and control field constraints upon quantum control speed limits
• Fast Route to Thermalization
• On Hamiltonians Generating Optimal-Speed Evolutions
• Quantum dynamical speedup in correlated noisy channels
• Rapid Quantum Squeezing by Jumping the Harmonic Oscillator Frequency
• Entanglement and the Quantum Brachistochrone Problem
• Unbounded quantum Fisher information in two-path interferometry with finite photon number
• Speeding up Thermalisation via Open Quantum System Variational Optimisation
• Quantum speed limit constraints on a nanoscale autonomous refrigerator
• Quantum speed limit of a photon under non-Markovian dynamics
• Quantum Evolution Time Limit: a General Non-Markovian Bound
• Computing with a single qubit faster than the computation quantum speed limit
• Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits
• Bounding generalized relative entropies: Nonasymptotic quantum speed limits
• Quantum speed limit for a relativistic electron in a uniform magnetic field
• On Complexity Growth in Minimal Massive 3D Gravity
• Genuine quantum advantage in non-linear bosonic quantum batteries
• The quantum computational speed of a single Cooper Pair box
• Optimising the relaxation route with optimal control
• Elementary proof of the bound on the speed of quantum evolution
• Geometric Algebra and Information Geometry for Quantum Computational Software
• Sub-wavelength lithography over extended areas
• Enhanced quantum state transfer: Circumventing quantum chaotic behavior
• Single-shot simulations of dynamics of quantum dark solitons
• Complexity and entanglement in non-local computation and holography
• Speed limits on correlations in bipartite quantum systems
• Exact Universal Chaos, Speed Limit, Acceleration, Planckian Transport Coefficient, "Collapse" to equilibrium, and Other Bounds in Thermal Quantum Systems
• Time of arrival and localization of relativistic particles
• Quantum coherence and speed limit in the mean-field Dicke model of superradiance
• Convergence rates for quantum evolution & entropic continuity bounds in infinite dimensions
• Quantum speed limit for thermal states
• Holographic complexity and thermodynamics of AdS black holes
• Time-optimal Unitary Operations in Ising Chains II: Unequal Couplings and Fixed Fidelity
• Accelerated adiabatic quantum gates: optimizing speed versus robustness
• A fundamental problem in quantizing general relativity
• Classical and Nonclassical Time Dilation for Quantum Clocks
• Fundamental accuracy-resolution trade-off for timekeeping devices
• Physical time-energy cost of a quantum process determines its information fidelity
• Uncertainty relation of Anandan-Aharonov and Intelligent states
• Intrinsic decoherence in isolated quantum systems
• Hierarchy of quantum correlations under non-Markovian dynamics
• Quantum speed limit based on the bound of Bures angle
• Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
• Thermodynamics and the quantum speed limit in the non-Markovian regime
• Dependence of the Quantum Speed Limit on System Size and Control Complexity
• Quantum control with noisy fields: computational complexity vs. sensitivity to noise
• Quantum speed limit for robust state characterization and engineering
• Controlling decoherence speed limit of a single impurity atom in a Bose-Einstein-condensate reservoir
• Quantum speed limit in quantum sensing
• Quantum Control in Open and Periodically Driven Systems
• Fast Quantum Communication in Linear Networks
• Quantum speed limit for complex dynamics
• Decrease of Fisher information and the information geometry of evolution equations for quantum mechanical probability amplitudes
• Geometry along Evolution of Mixed Quantum States
• Margolus-Levitin quantum speed limit for an arbitrary fidelity
• Quantum Foam, Gravitational Thermodynamics, and the Dark Sector
• Optimal uncertainty relations in a modified Heisenberg algebra
• What is the speed limit of martensitic transformations?
• Dynamics of closed quantum systems under stochastic resetting
• Universal Error Bound for Constrained Quantum Dynamics
• Time-Energy Measure for Quantum Processes
• Generalised quantum speed limit for arbitrary time-continuous evolution
• Minimal time required to charge a quantum system
• Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
• Holographic complexity for black branes with momentum relaxation
• Complexity Growth in Flat Spacetimes
• Fundamental Limits on the Speed of Evolution of Quantum States
• Flow of time during energy measurements and the resulting time-energy uncertainty relations
• Turbulence and Holography
• Arbitrarily High Super-Resolving Phase Measurements at Telecommunication Wavelengths
• Experimental Investigation of Geometric Quantum Speed Limits in an Open Quantum System
• Quantum Zeno effect in correlated qubits
• Quantum correlations and speed limit of central spin system
• Exact universal bounds on quantum dynamics and fast scrambling
• Quantum limits on phase-shift detection using multimode interferometers
• Quantum speed limit and divisibility of the dynamical map
• Detecting quantum speedup in closed and open systems
• Gravity from Transactions: Fulfilling the Entropic Gravity Program
• Tight and attainable quantum speed limit for open systems
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Quantum speedup, non-Markovianity and formation of bound state
• On the time optimal thermalization of single mode Gaussian states
• Coherent vs. measurement-based feedback for controlling a single qubit
• Bhatia-Davis formula in the quantum speed limit
• Speed limit for open systems coupled to general environments
• Geometric approach to quantum statistical inference
• Genuine tripartite entanglement in quantum brachistochrone evolution of a three-qubit system
• A model of quantum spacetime
• Quantum speed limit for states and observables of perturbed open systems
• Stronger speed limit for observables: Tight bound for the capacity of entanglement, the modular Hamiltonian and the charging of a quantum battery
• Thermodynamic correlation inequality
• Impact of non-Markovian evolution on characterizations of quantum thermodynamics
• Speed limits to the growth of Krylov complexity in open quantum systems
• Noise and Controllability: suppression of controllability in large quantum systems
• Relativistic quantum speed limit time in dephasing noise
• Quantum speed limit of a noisy continuous-variable system
• Non-uniform magnetic field as a booster for quantum speed limit: faster quantum information processing
• Conservation-law-based global bounds to quantum optimal control
• Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
• Holographic complexity of Born-Infeld black holes
• High-fidelity non-adiabatic cutting and stitching of a spin chain via local control
• Controlling speedup in open quantum systems through the manipulating of system-reservoir bound states
• Relation Between Quantum Speed Limits And Metrics On U(n)
• A New Large-Number Coincidence and a Scaling Law for the Cosmological Constant
• Rapid biexciton state preparation in a quantum dot using on-off pulse-sequences
• Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs
• Quantum speed limits in arbitrary phase spaces
• The time-energy uncertainty relation for quantum events
• Absolute Dynamical Limit to Cooling Weakly-Coupled Quantum Systems
• Quantum Speed Limit in Terms of Coherence Variations
• A comparison between D-wave and a classical approximation algorithm and a heuristic for computing the ground state of an Ising spin glass
• Quantum speed limit time: role of coherence
• Quantum speed limit for a relativistic electron in the noncommutative phase space
• Unified entropies and quantum speed limits for nonunitary dynamics
• Quantum information processing: The case of vanishing interaction energy
• Quantum Speed Limit under Brachistochrone Evolution
• Nuclear spin squeezing via electric quadrupole interaction
• Bounding the Minimum Time of a Quantum Measurement
• Quantum control of continuous systems via nonharmonic potential modulation
• Thermodynamic cost of reversible computing
• Exact solution to quantum dynamical activity
• Generalized speed and cost rate in transitionless quantum driving
• How long does it take to implement a projective measurement?
• Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels
• Quantum thermodynamic derivation of the energy resolution limit in magnetometry
• Quantum Optimal Control of Squeezing in Cavity Optomechanics
• Elementary solution to the time-independent quantum navigation problem
• Quantum speed limit of Jaynes-Cummings model with detuning for arbitrary initial states
• The effect of quantum memory on quantum speed limit time for CP-(in)divisible channels
• Classical (and Quantum) Heuristics for Gravitational Wave Detection
• Theoretical analysis of a nearly optimal analog quantum search
• A Class of Time-Energy Uncertainty Relations for Time-dependent Hamiltonians
• Quantum lower and upper speed limits
• Estimating the time evolution of NMR systems via quantum speed limit-like expression
• Evolution speed in some coupled-spin models
• Enhancing precision thermometry with nonlinear qubits
• Trapped-ion Fock state preparation by potential deformation
• Fundamental speed limits on entanglement dynamics of bipartite quantum systems
• The fastest generation of multipartite entanglement with natural interactions
• Macroscopicity of quantum superpositions on a one-parameter unitary path in Hilbert space
• Classical and quantum speed limits
• Effect of two-qutrit entanglement on quantum speed limit time of a bipartite V-type open system
• Closed systems refuting quantum-speed-limit hypotheses
• Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems
• Enhancement of quantum speed limit time due to cooperative effects in multilevel systems
• The Number of Information Bits Related to the Minimum Quantum and Gravitational Masses in a Vacuum Dominated Universe
• Analyticity constraints bound the decay of the spectral form factor
• Quantifying protocol efficiency: a thermodynamic figure of merit for classical and quantum state-transfer protocols
• Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
• Quantum Speed Limit With Forbidden Speed Intervals
• Speed limits and thermodynamic uncertainty relations for quantum systems governed by non-Hermitian Hamiltonian
• Near-ultrastrong nonlinear light-matter coupling in superconducting circuits
• A holographic bound on the total number of computations in the visible Universe
• Gauge dependence and self-force from Galilean to Einsteinian free fall, compact stars falling into black holes, Hawking radiation and the Pisa tower at the general relativity centennial
• Unitary evolution and the distinguishability of quantum states
• Physical limits on information processing
• Quantum Speed Limits Based on Schatten Norms: Universality and Tightness
• Time-optimal control fields for quantum systems with multiple avoided crossings
• Quantumness and speedup limit of a qubit under transition frequency modulation
• Quantum mechanics and speed limit of ultrafast local control in spin chains
• Geometric characterization for cyclic heat engines far from equilibrium
• A general formulation of time-optimal quantum control and optimality of singular protocols
• Quantum speed limit time for the damped Jaynes-Cummings and Ohmic-like dephasing models in Schwarzschild spacetime
• Phase covariant channel: Quantum speed limit of evolution
• Quantum speed limit from a quantum-state-diffusion method
• Bounds on the breaking time for entanglement-breaking channels
• Quantum speed of evolution in a Markovian bosonic environment
• Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
• Fast Functionalization with High Performance in the Autonomous Information Engine
• Entropy and Gravitation: From Black Hole Computers to Dark Energy and Dark Matter
• Dynamical stability of the weakly nonharmonic propeller-shaped planar Brownian rotator
• Hybrid quantum-classical simulation of quantum speed limits in open quantum systems
• Synthesis of arbitrary, two-mode, high visibility N-photon interference patterns
• Measuring energy by measuring any other observable
• On the Interpretation of Energy as the Rate of Quantum Computation
• Lower bound of minimal time evolution in quantum mechanics
• Quantum speed limits for time evolution of a system subspace
• (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
• Quantum Limit on Computational Time and Speed
• The ideal energy of classical lattice dynamics
• Complexity growth for topological black holes by holographic method
• Classical Limit of the Quantum Zeno Effect by Environmental Decoherence
• Reachable Set Characterization of Open Quantum System by Quantum Speed Limit
• Entanglement-assisted quantum speedup: Beating local quantum speed limits
• Time-Optimal Quantum Driving by Variational Circuit Learning
• A local-time-induced unique pointer basis
• Quantum superpositions of current states in Rydberg-atom networks
• Tight lower bounds on the time it takes to generate a geometric phase
• Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum
• Optimal quantum speed for mixed states
• A new route toward orthogonality
• Dynamical emergence of Markovianity in Local Time Scheme
• Maximum speed of dissipation
• State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal Control
• Time optimal quantum state transfer in a fully-connected quantum computer
• Speed limits to fluctuation dynamics
• Temporal Ordering in Quantum Mechanics
• Dynamical properties of an exactly solvable coupled quantum double-well system: The evolution speed and entanglement
• Modified quantum-speed-limit bounds for open quantum dynamics in quantum channels
• Thermodynamic concentration inequalities and tradeoff relations
• Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States
• On Measuring Cognition and Cognitive Augmentation
• Bounds for nonadiabatic transitions
• Margolus-Levitin speed limit across quantum to classical regimes based on trace distance
• Performance evaluation of invariant-based inverse engineering by quantum speed limit
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Decoding infrared imprints of quantum origins of black holes
• Quantum acceleration by an ancillary system in non-Markovian environments
• Quantum speed limit for the maximum coherent state under squeezed environment
• Distinguishability times and asymmetry monotone-based quantum speed limits in the Bloch ball
• Position dependence of Nielsen complexity for the Thermofield double state
• Quantum Speed Limit for Change of Basis
• Brachistochrone of Entanglement for Spin Chains
• Quantum optimal control within the rotating wave approximation
• On the size of the space spanned by a nonequilibrium state in a quantum spin lattice system
• Speed limit, dissipation bound and dissipation-time trade-off in thermal relaxation processes
• Quantum-imaginarity-based quantum speed limit
• Quantum speed limit of a single atom in a squeezed optical cavity mode
• Exact and lower bounds for the quantum speed limit in finite dimensional systems
• Family of attainable geometric quantum speed limits
• Upper Bounds for the Poincaré Recurrence Time in Quantum Mixed States
• Dynamical quantum phase transitions from random matrix theory
• Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution
• Finite time measurements by Unruh-DeWitt detector and Landauer's principle
• Information, information processing and gravity
• Probing quantum phase transition via quantum speed limit
• Stronger Quantum Speed Limit For Mixed Quantum States
• Optimizing for an arbitrary Schrödinger cat state
• Ultimate Limits to Computation: Anharmonic Oscillator
• A unified model of inflation and dark energy based on the holographic spacetime foam
• Generalized Entropic Quantum Speed Limits
• Time-Energy Costs of Quantum Measurements
• Space-time uncertainty relation from quantum and gravitational principles
• Towards a holographic theory of cosmology -- threads in a tapestry
• Quantum annealing showing an exponentially small success probability despite a constant energy gap with polynomial energy
• Lindbladian-Induced Alignment in Quantum Measurements
• Quantum dynamical speedup for correlated initial states
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• On the Complexity of a Charged Quantum Oscillator
• Hamiltonian Switching Control of Noisy Bipartite Qubit Systems
• Complexity growth rate, grand potential and partition function
• Controlling the quantum computational speed
• Time-of-Flow Distributions in Discrete Quantum Systems: From Operational Protocols to Quantum Speed Limits
• A Unifying Quantum Speed Limit For Time-Independent Hamiltonian Evolution
• The underlying order induced by orthogonality and the quantum speed limit
• Speed of evolution in entangled fermionic systems
• Quantum evolution speed in the finite-temperature bosonic environment
• Coherent Quantum Speed Limits
• Quantum speed-up process of atom in dissipative cavity
• Quantum Speed Limits Based on the Sharma-Mittal Entropy
• Note on the Margolus-Levitin quantum speed limit for arbitrary fidelity
• Rebuilding the Habitable Zone from the Bottom Up with Computational Zones
• Time-energy uncertainty relation in nonrelativistic quantum mechanics
• Quantum State Driving along Arbitrary Trajectories
• Context-Dependent Time-Energy Uncertainty Relations from Projective Quantum Measurements
• On the dual structure of the Schrödinger dynamics
• Physics of computation and light sheet concept in the measurement of (4+n)-dimensional spacetime geometry
• Effective information bounds in modified quantum mechanics
• Quantum Speed Limits from Symmetries in Quantum Control
• Optimal bounds on the speed of subspace evolution
• Correlations and energy in mediated dynamics
• Quantum speed of evolution of neutral mesons
• Probing the quantum speed limit and entanglement in flavor oscillations of neutrino-antineutrino system in curved spacetime
• Constraints on physical computers in holographic spacetimes
• Speed excess and total acceleration: a kinematical approach to entanglement
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Efficient criteria of quantumness for a large system of qubits
• Effect of measurements on quantum speed limit
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Fractionally Quantized Recurrence Detection Times in Monitored Quantum Many-Body Systems
• Relational de Sitter State Counting with an SU(3) Clock
• Quantum speed limit and nonclassicality in open quantum system models using the Wigner function
• Relativistic Quantum-Speed Limit for Gaussian Systems and Prospective Experimental Verification
• Application of Optimal Control to Time-Resolution Protocol for Quantum Sensing
• Bounds on the rates of statistical divergences and mutual information via stochastic thermodynamics
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems
• Quantum speed limits for an open system in contact with a thermal bath
• Subsystem Evolution Speed as Indicator of Relaxation
• Attainable quantum speed limit for N-dimensional quantum systems
• Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
• Robustness of a universal gate set implementation in transmon systems via Chopped Random Basis optimal control
• Discrimination between evolution operators
• Systems that saturate the Margolus-Levitin quantum speed limit
• Comments on Information Erasure in Black Hole
• Geometric speed limit of state preparation and curved control spaces
• Bounding fidelity in quantum feedback control: theory and applications to Dicke state preparation
• Propagation-Distance Limit for a Classical Nonlocal Optical System
• Control cost and quantum speed limit time in controlled almost exact state transmission in open systems
• Quantum speed limit for observables from quantum asymmetry
• Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols
• Quantum speedup from nonclassical polarization
• Implementation of multiparticle quantum speed limits on observables
• Optimal Work Extraction from Finite-Time Closed Quantum Dynamics
• A unified fidelity-based framework for quantum speed limits in open quantum systems
• Optimal-speed unitary quantum time evolutions and propagation of light with maximal degree of coherence
• Quantum Transition Rates in Arbitrary Physical Processes
• The temporal resolution limit in quantum sensing
• Gravitational quantum speed limit
• Thermal Quantum Speed Limit for Classical-Driving Open Systems
• Quantum speed limit time in a magnetic resonance
• Isoperimetric Inequalities in Quantum Geometry
• Speeding up Lindblad dynamics via time-rescaling engineering
• Trajectory-independent speed limits for controlled open quantum systems
• Approaching the Quantum Speed Limit in Quantum Gates with Geometric Control
• Nonlinear speed-ups in ultracold quantum gases
• Quantum Speed Limits and the Ultimate Scaling of the Quantum Sensors
• Tight bounds of quantum speed limit for noisy dynamics via maximum rotation angles
• Random Walk of Bipartite Spins in a Classicalized Holographic Tensor Network
• Influence of gravity on the quantum speed limit in neutrino oscillations
• A Geometric Quantum Speed Limit: Theoretical Insights and Photonic Implementation
• Modulating quantum evolution of moving-qubit by using classical driving
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems