Quantum speed limits for information and coherence
arXiv:2110.13193 · doi:10.1088/1367-2630/ac753c
Abstract
The quantum speed limit indicates the maximal evolution speed of the quantum system. In this work, we determine speed limits on the informational measures, namely the von Neumann entropy, maximal information, and coherence of quantum systems evolving under dynamical processes. These speed limits ascertain the fundamental limitations on the evolution time required by the quantum systems for the changes in their informational measures. Erasing of quantum information to reset the memory for future use is crucial for quantum computing devices. We use the speed limit on the maximal information to obtain the minimum time required to erase the information of quantum systems via some quantum processes of interest.
12 pages, 2 figures; published in special issue "Focus on Quantum Speed Limit and its Applications" of New Journal of Physics, https://iopscience.iop.org/journal/1367-2630/page/Focus-on-Quantum-Speed-Limit-and-its-Applications
References in corpus (17)
- Measuring Quantum Coherence with Entanglement
- Quantum speed limit for physical processes
- Quantum speed limits in open system dynamics
- Geometric derivation of the quantum speed limit
- Unifying Quantum and Classical Speed Limits on Observables
- Comment on "Geometric derivation of the quantum speed limit"
- Quantum speed limits and the maximal rate of information production
- Action quantum speed limits
- Universal Bound on Energy Cost of Bit Reset in Finite Time
- Entanglement and the Lower Bounds on the Speed of Quantum Evolution
- A generalization of Margolus-Levitin bound
- Fundamental limits on quantum dynamics based on entropy change
- Entanglement and the Speed of Evolution in Mixed States
- The entropy gain of infinite-dimensional quantum channels
- Physical time-energy cost of a quantum process determines its information fidelity
- Quantum speed limit helps interpret geometric measure of entanglement
- Bounds to unitary evolution
Cited by in corpus (36)
- Quantum Speed Limits for Observables
- Quantum speed limits on operator flows and correlation functions
- Speed limits on correlations in bipartite quantum systems
- Capacity of Entanglement for Non-local Hamiltonian
- Generalised quantum speed limit for arbitrary time-continuous evolution
- Experimental Investigation of Geometric Quantum Speed Limits in an Open Quantum System
- 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
- Impact of non-Markovian evolution on characterizations of quantum thermodynamics
- Bounding the Minimum Time of a Quantum Measurement
- Quantum Speed Limit in Terms of Coherence Variations
- Unified entropies and quantum speed limits for nonunitary dynamics
- Fundamental speed limits on entanglement dynamics of bipartite quantum systems
- Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems
- Quantum speed limit from a quantum-state-diffusion method
- (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
- Laser-field detuning assisted optimization of exciton valley dynamics in monolayer WSe: Geometric quantum speed limit
- Optimal quantum speed for mixed states
- Family of attainable geometric quantum speed limits
- Quantum speed limit of a single atom in a squeezed optical cavity mode
- Quantum-imaginarity-based quantum speed limit
- Quantum Speed Limit for Change of Basis
- Quantum dynamical speedup for correlated initial states
- Generalized Entropic Quantum Speed Limits
- Stronger Quantum Speed Limit For Mixed Quantum States
- Quantum speed limit for the OTOC from an open systems perspective
- Coherent Quantum Speed Limits
- Correlations and energy in mediated dynamics
- Quantum Speed Limits Based on the Sharma-Mittal Entropy
- Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
- Speed of evolution in entangled fermionic systems
- Effect of measurements on quantum speed limit
- Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
- Nonlinear speed-ups in ultracold quantum gases
- Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach
- Quantum speed limit for observables from quantum asymmetry