Quantum speed limit for observables from quantum asymmetry
arXiv:2511.16526 · doi:10.1103/tfnt-58sw
Abstract
Quantum asymmetry and coherence are genuinely quantum resources that are essential to realize quantum advantage in information technologies. However, all quantum processes are fundamentally constrained by quantum speed limits, which raises the question on the corresponding bounds on the rate of consumption of asymmetry and coherence. In the present work, we derive a formulation of the quantum speed limit for observables in terms of the trace-norm asymmetry of the time-dependent quantum state relative to the observable. This quantum speed limit can be directly observed in experiment through weak value measurement and provides a lower bound to the quantum Fisher information about the parameter conjugate to the observable. It can be further related to quantum coherence relative to the eigenbasis of the observable. We obtain a complementary relation for the speed of three mutually unbiased observables for a single qubit. As an application, we derive a notion of a quantum thermodynamic speed limit.
9 pages, 1 figure, close to the final version appeared in Phys. Rev. A
References in corpus (70)
- Quantum entanglement
- Advances in Quantum Metrology
- Variational Quantum Algorithms
- Quantifying Coherence
- Quantum Coherence as a Resource
- Maximal work extraction from quantum systems
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Observable measure of quantum coherence in finite dimensional systems
- 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
- The resource theory of quantum reference frames: manipulations and monotones
- Measures and applications of quantum correlations
- Complex weak values in quantum measurement
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Quantum speed limits, coherence and asymmetry
- Generalized Geometric Quantum Speed Limits
- Generalized Clausius inequality for nonequilibrium quantum processes
- Trade-off between speed and cost in shortcuts to adiabaticity
- Nonequilibrium entropy production for open quantum systems
- Weak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment
- Complementarity relations for quantum coherence
- Geometric derivation of the quantum speed limit
- Tightening Quantum Speed Limits for Almost All States
- Non-Local Advantage of Quantum Coherence
- Tradeoff between extractable mechanical work, accessible entanglement, and ability to act as a reference system, under arbitrary superselection rules
- The significance of the imaginary part of the weak value
- Speed limit for open quantum systems
- Quantum Coherence Sets The Quantum Speed Limit For Mixed States
- Quantum Averages of Weak Values
- Ultimate Speed Limits to the Growth of Operator Complexity
- Strong measurements give a better direct measurement of the quantum wave function
- Unifying Quantum and Classical Speed Limits on Observables
- Precision thermometry and the quantum speed limit
- Anomalous weak values and contextuality: robustness, tightness, and imaginary parts
- Speed limits for quantum gates in multi-qubit systems
- Practical measurement of joint weak values and their connection to the annihilation operator
- Quantum speed limits and the maximal rate of information production
- Quantifying quantum coherence via nonreal Kirkwood-Dirac quasiprobability
- Quantum and classical entropic uncertainty relations
- Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
- Action quantum speed limits
- Thermodynamic length for far from equilibrium quantum systems
- Quantum speed limits for information and coherence
- Resource speed limits: Maximal rate of resource variation
- Quantum Speed Limits for Observables
- Determination of weak values of quantum operators using only strong measurements
- Quantum speed limits on operator flows and correlation functions
- From quantum speed limits to energy-efficient quantum gates
- Entanglement and the Speed of Evolution in Mixed States
- Ergotropy from quantum and classical correlations
- Quantum speed limit constraints on a nanoscale autonomous refrigerator
- Diverging quantum speed limits: a herald of classicality
- Operational interpretation and estimation of quantum trace-norm asymmetry based on weak value measurement and some bounds
- Reconstructing weak values without weak measurements
- Quantum coherence as asymmetry from complex weak values
- Resources of the Quantum World
- General quantum correlation from nonreal values of Kirkwood-Dirac quasiprobability over orthonormal product bases
- Stronger speed limit for observables: Tight bound for the capacity of entanglement, the modular Hamiltonian and the charging of a quantum battery
- Time-optimal quantum transformations with bounded bandwidth
- Asymmetry and tighter uncertainty relations for Rényi entropies via quantum-classical decompositions of resource measures
- Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable
- Enhancing precision thermometry with nonlinear qubits
- Dimension-independent weak value estimation via controlled SWAP operations
- Quantum speed limit for Kirkwood-Dirac quasiprobabilities
- Quantum Speed Limit for Change of Basis
- Separation of measurement uncertainty into quantum and classical parts based on Kirkwood-Dirac quasiprobability and generalized entropy
- Quantum entanglement as an extremal Kirkwood-Dirac nonreality