Phase covariant channel: Quantum speed limit of evolution
arXiv:2204.08149 · doi:10.1002/andp.202200199
Abstract
The quantum speed of evolution for the phase covariant map is investigated. This involves absorption, emission and dephasing processes. We consider the maps under various combinations of the above processes to investigate the effect of phase covariant maps on quantum speed limit time. For absorption-free phase covariant maps, combinations of dissipative and CP-(in)divisible (non)-Markovian dephasing noises are considered. The role of coherence-mixedness balance on the speed limit time is checked in the presence of both vacuum and finite temperature effects. We also investigate the rate at which Holevo's information changes and the action quantum speed of evolution for specific cases of the phase covariant map.
arXiv commentclose to the published version
References in corpus (42)
- Advances in Quantum Metrology
- Quantifying Coherence
- Quantum Coherence as a Resource
- Non-Markovian dynamics in open quantum systems
- Ultimate physical limits to computation
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- The maximum speed of dynamical evolution
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Quantum speed limits in open system dynamics
- Quantum limits to dynamical evolution
- Measures and applications of quantum correlations
- Concepts of quantum non-Markovianity: a hierarchy
- Energy-time uncertainty relation for driven quantum systems
- The ultimate precision limits for noisy frequency estimation
- Quantum speedup in a memory environment
- Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
- Entanglement Evolution in a Non-Markovian Environment
- Quantum Speed Limit Bounds in an Open Quantum Evolution
- Optimal control of a qubit in an optical cavity
- Fundamental limits to frequency estimation: A comprehensive microscopic perspective
- Non-Markovian evolution: a quantum walk perspective
- Action quantum speed limits
- Quantum speed limit for a mixed initial state
- Non-Markovian dephasing and depolarizing channels
- Temporal self-similarity of quantum dynamical maps as a concept of memorylessness
- Correlations as a resource in quantum thermodynamics
- Study of coherence and mixedness in meson and neutrino systems
- Phase covariant qubit dynamics and divisibility
- There is no general connection between the quantum speed limit and non-Markovianity
- Revealing memory effects in phase-covariant quantum master equations
- Quantum cryptography over non-Markovian channels
- Complete positivity, finite temperature effects, and additivity of noise for time-local qubit dynamics
- Quantum speed limit based on the bound of Bures angle
- Hierarchy of quantum correlations under non-Markovian dynamics
- Ping-pong quantum key distribution with trusted noise: non-Markovian advantage
- Tri-partite non-maximally entangled mixed states as a resource for optimum controlled quantum teleportation fidelity
- Quantum speed limit and divisibility of the dynamical map
- Characterizing qubit channels in the context of quantum teleportation
- The effect of quantum memory on quantum speed limit time for CP-(in)divisible channels
- Quantum speed of evolution in a Markovian bosonic environment
Cited by in corpus (6)
- Quantum correlations and speed limit of central spin system
- Impact of non-Markovian evolution on characterizations of quantum thermodynamics
- Quantum speed limit time: role of coherence
- (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
- Quantum speed of evolution of neutral mesons
- Quantum speed limit and nonclassicality in open quantum system models using the Wigner function