Quantum Speed Limits under Continuous Quantum Measurements

Abstract

The pace of evolution of physical systems is fundamentally constrained by quantum speed limits (QSL), which have found broad applications in quantum science and technology. We consider the speed of evolution for quantum systems undergoing stochastic dynamics due to continuous measurements. It is shown that that there are trajectories for which standard QSL are violated, and we provide estimates for the range of velocities in an ensemble of realizations of continuous measurement records. We determine the dispersion of the speed of evolution and characterize the full statistics of single trajectories. By characterizing the dispersion of the Bures angle, we further show that continuous quantum measurements induce Brownian dynamics in Hilbert space.

arXiv commentmain text: 7 pages, 3 figures; appendix: 4 pages, 2 figures

References in corpus (58)

• Quantum Coherence as a Resource
• Ultimate physical limits to computation
• Open Quantum Systems. An Introduction
• The maximum speed of dynamical evolution
• Quantum discord for two-qubit X-states
• The elusive Heisenberg limit in quantum enhanced metrology
• Generalized uncertainty relations: Theory, examples, and Lorentz invariance
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• A Straightforward Introduction to Continuous Quantum Measurement
• Computational capacity of the universe
• Enhancing the charging power of quantum batteries
• Feedback-control of quantum systems using continuous state-estimation
• 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
• Observing single quantum trajectories of a superconducting qubit
• Continuous quantum measurement and Itô formalism
• Quantum limits to dynamical evolution
• Experimental violation of a Bell's inequality in time with weak measurement
• Measurements continuous in time and a posteriori states in quantum
• Deterministic entanglement of superconducting qubits by parity measurement and feedback
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• More bang for your buck: Towards super-adiabatic quantum engines
• Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
• Continuous quantum error correction via quantum feedback control
• Quantum speed limits, coherence and asymmetry
• Generalized Geometric Quantum Speed Limits
• Quantum Trajectories and Quantum Measurement Theory
• Trade-off between speed and cost in shortcuts to adiabaticity
• Selective quantum evolution of a qubit state due to continuous measurement
• Mapping the optimal route between two quantum states
• Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
• Mixed-state evolution in the presence of gain and loss
• Quantum Speed Limits Across the Quantum-to-Classical Transition
• Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Quantum Speed Limit is Not Quantum
• Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
• Nonlinear quantum metrology of many-body open systems
• Observing quantum state diffusion by heterodyne detection of fluorescence
• Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems
• Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing
• Efficient Quantum State Estimation by Continuous Weak Measurement and Dynamical Control
• Quantum error correction for continuously detected errors
• Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
• Stochastic pure state representation for open quantum systems
• Quantum speed limits for leakage and decoherence
• Bayesian parameter estimation by continuous homodyne detection
• Nonexponential quantum decay under environmental decoherence
• Ultimate limits for quantum magnetometry via time-continuous measurements
• Incoherent qubit control using the quantum Zeno effect
• Single shot parameter estimation via continuous quantum measurement
• Frequency Tracking and Parameter Estimation for Robust Quantum State-Estimation
• Sensitivity optimization in quantum parameter estimation
• Feedback Control of Non-linear Quantum Systems: a Rule of Thumb
• Rapid estimation of drifting parameters in continuously measured quantum systems
• Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing

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• 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
• Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
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• Quantum coherence and speed limit in the mean-field Dicke model of superradiance
• Generalised quantum speed limit for arbitrary time-continuous evolution
• Tight and attainable quantum speed limit for open systems
• Bhatia-Davis formula in the quantum speed limit
• Quantum speed limits in arbitrary phase spaces
• Quantum speed limit of Jaynes-Cummings model with detuning for arbitrary initial states
• Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble
• Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
• Quantum speed of evolution in a Markovian bosonic environment
• Quantum acceleration by an ancillary system in non-Markovian environments
• Margolus-Levitin speed limit across quantum to classical regimes based on trace distance
• Effect of measurements on quantum speed limit
• Attainable quantum speed limit for N-dimensional quantum systems
• Bounding fidelity in quantum feedback control: theory and applications to Dicke state preparation
• Trajectory-independent speed limits for controlled open quantum systems