Quantum Coherence Sets The Quantum Speed Limit For Mixed States
arXiv:1506.03199 · doi:10.1016/j.physleta.2015.12.015
Abstract
We cast observable measure of quantum coherence or asymmetry as a resource to control the quantum speed limit (QSL) for unitary evolutions. For non-unitary evolutions, QSL depends on that of the state of the system and environment together. We show that the product of the time bound and the coherence (asymmetry) or the quantum part of the uncertainty behaves in a geometric way under partial elimination and classical mixing of states. These relations give a new insight to the quantum speed limit. We also show that our bound is experimentally measurable and is tighter than various existing bounds in the literature.
arXiv comment(9+ε) pages, 2 figures, accepted in PLA
References in corpus (68)
- Advances in Quantum Metrology
- Quantifying Coherence
- Ultimate physical limits to computation
- Measuring Quantum Coherence with Entanglement
- The maximum speed of dynamical evolution
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Quantum Metrology in Non-Markovian Environments
- Vibrations, Quanta and Biology
- Computational capacity of the universe
- 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
- Universal Quantum Estimator
- Direct estimations of linear and non-linear functionals of a quantum state
- Quantum limits to dynamical evolution
- Role of quantum coherence in chromophoric energy transport
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Low-temperature thermodynamics with quantum coherence
- More bang for your buck: Towards super-adiabatic quantum engines
- Quantum speed limits, coherence and asymmetry
- Generalized Geometric Quantum Speed Limits
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations
- Energy-time uncertainty relation for driven quantum systems
- Quantum speed limit for arbitrary initial states
- Quantum speedup in a memory environment
- Cohering and de-cohering power of quantum channels
- Thermodynamic universality of quantum Carnot engines
- Using Berry's phase to detect the Unruh effect at lower accelerations
- Environment assisted speed-up of the field evolution in cavity QED
- Geometric lower bound for a quantum coherence measure
- The WAY theorem and the quantum resource theory of asymmetry
- Kind of entanglement that speeds up quantum evolution
- Speed limits for quantum gates in multi-qubit systems
- Quantum-speed-limit time for multiqubit open systems
- Quantum speed limits for leakage and decoherence
- The role of entanglement in dynamical evolution
- Quantum Speed Limit For Mixed States Using Experimentally Realizable Metric
- On the Connection Between Entanglement and the Speed of Quantum Evolution
- Entanglement and the Lower Bounds on the Speed of Quantum Evolution
- Interference of Quantum Channels
- The asymmetry properties of pure quantum states
- Quantum Markov Channels for Qubits
- A generalization of Margolus-Levitin bound
- Geometric phase for an accelerated two-level atom and the Unruh effect
- Relativistic Quantum Metrology in Open System Dynamics
- The Time-Energy Uncertainty Relation
- Tight Upper Bound Of The Maximum Speed Of Evolution Of A Quantum State
- Entanglement and the Speed of Evolution in Mixed States
- Quantum speed limit of a photon under non-Markovian dynamics
- Thermodynamics of quantum coherence
- Direct method for measuring of purity, superfidelity, and subfidelity of photonic two-qubit mixed states
- Information geometry of density matrices and state estimation
- Subspace local quantum channels
- Subspace preserving completely positive maps
- Gluing of completely positive maps
- Uncertainty relation of Anandan-Aharonov and Intelligent states
- Operations and single particle interferometry
- Bounds to unitary evolution
- Fundamental Limits on the Speed of Evolution of Quantum States
- Fidelity and Coherence Measures from Interference
- Interference Visibility as a Witness of Entanglement and Quantum Correlation
- Limit on Time-Energy Uncertainty with Multipartite Entanglement
- Interference of quantum channels in single photon interferometer
- Generalized Fubini-Study Metric and Fisher Information Metric
Cited by in corpus (81)
- Quantum Coherence as a Resource
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Quantum speed limits, coherence and asymmetry
- Generalized Geometric Quantum Speed Limits
- Trade-off between speed and cost in shortcuts to adiabaticity
- Tightening Quantum Speed Limits for Almost All States
- Non-Local Advantage of Quantum Coherence
- Genuine quantum coherence
- Towards resource theory of coherence in distributed scenarios
- Energy Cost of Creating Quantum Coherence
- Tight, robust, and feasible quantum speed limits for open dynamics
- Quantum Speed Limit For Mixed States Using Experimentally Realizable Metric
- Geometric quantum speed limits: a case for Wigner phase space
- Cohering power of quantum operations
- Action quantum speed limits
- Average coherence and its typicality for random pure states
- Tighter Uncertainty and Reverse Uncertainty Relations
- Quantum speed limits for information and coherence
- Skew informations from an operational view via resource theory of asymmetry
- Speed Limits for Macroscopic Transitions
- Reverse Quantum Speed Limit: How Slow Quantum Battery can Discharge?
- Uncertainty Relations for Quantum Coherence
- Quantum Speed Limits for Observables
- Operational definition of a quantum speed limit
- Topological Speed Limit
- Coherence number as a discrete quantum resource
- Complementarity Relations Between Quantum Steering Criteria
- Coherence breaking channels and coherence sudden death
- Speeding up Thermalisation via Open Quantum System Variational Optimisation
- Quantum speed limit constraints on a nanoscale autonomous refrigerator
- Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
- Operational interpretation and estimation of quantum trace-norm asymmetry based on weak value measurement and some bounds
- Coherence of quantum channels
- Quantum coherence as asymmetry from complex weak values
- Speed limits on correlations in bipartite quantum systems
- Quantum coherence and speed limit in the mean-field Dicke model of superradiance
- Quantum speed limit for thermal states
- Variational approach to the optimal control of coherently driven, open quantum system dynamics
- Quantum speed limit for complex dynamics
- Generalized Coherence Concurrence and Path distinguishability
- Bound on efficiency of heat engine from uncertainty relation viewpoint
- Minimal time required to charge a quantum system
- 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
- Stronger speed limit for observables: Tight bound for the capacity of entanglement, the modular Hamiltonian and the charging of a quantum battery
- Analysis of lower bounds for quantum control times and their relation to the quantum speed limit
- Quantum Speed Limit in Terms of Coherence Variations
- Quantum Speed Limit under Brachistochrone Evolution
- 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
- Necessity for quantum coherence of nondegeneracy in energy flow
- Probing Uncertainty Relations in Non-Commutative Space
- Quantum speed limit from a quantum-state-diffusion method
- 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
- Hybrid quantum-classical simulation of quantum speed limits in open quantum systems
- Uncertainty relations based on Wigner-Yanase skew information
- Quantum asymmetry and noisy multi-mode interferometry
- Distinguishability times and asymmetry monotone-based quantum speed limits in the Bloch ball
- Making a Quantum Universe: Symmetry and Gravity
- Optimal quantum speed for mixed states
- Margolus-Levitin speed limit across quantum to classical regimes based on trace distance
- Quantum speed limit of a single atom in a squeezed optical cavity mode
- Quantum Speed Limit for Change of Basis
- Family of attainable geometric quantum speed limits
- Preservation of quantum coherence under Lorentz boost for narrow uncertainty wave packets
- Stronger Quantum Speed Limit For Mixed Quantum States
- Correlations and energy in mediated dynamics
- Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
- Quantum speed limits for an open system in contact with a thermal bath
- Attainable quantum speed limit for N-dimensional quantum systems
- Effect of measurements on quantum speed limit
- Quantum speed limit for observables from quantum asymmetry
- Operational Interpretation of Quantum Fisher Information in Quantum Thermodynamics
- Tight bounds of quantum speed limit for noisy dynamics via maximum rotation angles
- A Geometric Quantum Speed Limit: Theoretical Insights and Photonic Implementation
- Controlling Quantum Coherence of V-type Atom in Dissipative Cavity by Detuning and Weak Measurement Reversal
- Uncertainty relations in the product form