Quantum speedup in a memory environment

Abstract

Memory (non-Markovian) effect is found to be able to accelerate quantum evolution [S. Deffner and E. Lutz, Phys. Rev. Lett. 111, 010402 (2013)]. In this work, for an atom in a structured reservoir, we show that the mechanism for the speedup is not only related to non-Markovianity but also to the population of excited states under a given driving time. In other words, it is the competition between non-Markovianity and population of excited states that ultimately determines the acceleration of quantum evolution in memory environment. A potential experimental realization for verifying the above phenomena is discussed by using a nitrogen-vacancy (N-V) center embedded in a planar photonic crystal cavity (PCC) under the current experimental conditions.

6 pages, 4 figures, published version

References in corpus (14)

• An Open-System Quantum Simulator with Trapped Ions
• Quantum speed limit for physical processes
• Quantum speed limits in open system dynamics
• Stark shift control of single optical centers in diamond
• Optimal state pairs for non-Markovian quantum dynamics
• Completely Positive Post-Markovian Master Equation via a Measurement Approach
• Geometric derivation of the quantum speed limit
• Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
• Creating diamond color centers for quantum optical applications
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Hybrid photonic crystal cavity and waveguide for coupling to diamond NV-centers
• Comment on "Geometric derivation of the quantum speed limit"
• Preservation of quantum correlation between separated nitrogen-vacancy centers embedded in photonic crystal cavities
• Finite time decoherence could be suppressed efficiently in photonic crystal

Cited by in corpus (63)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Generalized Geometric Quantum Speed Limits
• Trade-off between speed and cost in shortcuts to adiabaticity
• Quantum speed limit for arbitrary initial states
• Environment assisted speed-up of the field evolution in cavity QED
• Quantum Coherence Sets The Quantum Speed Limit For Mixed States
• Classical-driving-assisted quantum speed-up
• Mechanism for quantum speedup in open quantum systems
• Quantum-speed-limit time for multiqubit open systems
• Geometric quantum speed limits: a case for Wigner phase space
• Optimal control of a qubit in an optical cavity
• High-Speed Driving of a Two-Level System
• Quantum speed limit for a mixed initial state
• Speed Limits for Macroscopic Transitions
• Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
• There is no general connection between the quantum speed limit and non-Markovianity
• The initial-state dependence of quantum speed limit
• Hierarchical environment-assisted dynamical speedup control
• Quantum dynamical speedup in correlated noisy channels
• Quantum speed limit for a relativistic electron in a uniform magnetic field
• Excited-state quantum phase transition and the quantum speed limit
• Quantum coherence and speed limit in the mean-field Dicke model of superradiance
• Thermodynamics and the quantum speed limit in the non-Markovian regime
• Quantum speed limit based on the bound of Bures angle
• Quantum speed limit for robust state characterization and engineering
• Experimental Investigation of Geometric Quantum Speed Limits in an Open Quantum System
• Detecting quantum speedup in closed and open systems
• Tight and attainable quantum speed limit for open systems
• Quantum speedup, non-Markovianity and formation of bound state
• Non-uniform magnetic field as a booster for quantum speed limit: faster quantum information processing
• Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
• Quantum speed limits in arbitrary phase spaces
• Quantum speed limit time: role of coherence
• Generalized speed and cost rate in transitionless quantum driving
• Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems
• Effect of two-qutrit entanglement on quantum speed limit time of a bipartite V-type open system
• Classical and quantum speed limits
• Coherent control of dissipative dynamics in a periodically driven lattice array
• Phase covariant channel: Quantum speed limit of evolution
• Hybrid quantum-classical simulation of quantum speed limits in open quantum systems
• Quantum speed limit time for the damped Jaynes-Cummings and Ohmic-like dephasing models in Schwarzschild spacetime
• Quantum speed limit from a quantum-state-diffusion method
• Non-Markovian effect on remote state preparation
• Quantifying non-Markovianity via local quantum Fisher information
• Experimental Snapshot Verification of non-Markovianity with Unknown System-Probe Coupling
• Quantum acceleration by an ancillary system in non-Markovian environments
• Laser-field detuning assisted optimization of exciton valley dynamics in monolayer WSe${}_2$: Geometric quantum speed limit
• Quantum speed limit for the maximum coherent state under squeezed environment
• The effect of Homodyne-based feedback control on quantum speed limit time
• Detecting Non-Markovianity via Linear Entropy of Choi State
• Modified quantum-speed-limit bounds for open quantum dynamics in quantum channels
• 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 dynamical speedup for correlated initial states
• Decoherence-assisted detection of entanglement of two qubit states
• Quantum speed-up process of atom in dissipative cavity
• Attainable quantum speed limit for N-dimensional quantum systems
• Exotic collective behaviors of giant quantum emitters in two-dimensional baths
• Thermal Quantum Speed Limit for Classical-Driving Open Systems
• Tight bounds of quantum speed limit for noisy dynamics via maximum rotation angles
• Modulating quantum evolution of moving-qubit by using classical driving
• Control cost and quantum speed limit time in controlled almost exact state transmission in open systems