Quantum speedup, non-Markovianity and formation of bound state
arXiv:1903.05335 · doi:10.1038/s41598-019-51290-x
Abstract
In this paper, we investigate the relationship between the quantum speedup, nonMarkovianity and formation of a system-environment bound state. Previous results show a monotonic relation between these three such that providing stronger bound states can lead to a higher degree of non-Markovianity, and hence to greater speed of quantum evolution. By studying dynamics of a dissipative two-level system or a V-type three-level system in the presence of similar and additional systems, we reveal that the quantum speedup is exclusively related to the formation of the system-environment bound state, while the non-Markovian effect of the system dynamics is neither necessary nor sufficient to speed up the quantum evolution. In the other hand, it is demonstrated that only the formation of the system-environment bound state plays a decisive role in the acceleration of the quantum evolution.
arXiv comment20 pages, 5 figures
References in corpus (22)
- Advances in Quantum Metrology
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- The maximum speed of dynamical evolution
- Computational capacity of the universe
- 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
- Generalized Clausius inequality for nonequilibrium quantum processes
- Optimal state pairs for non-Markovian quantum dynamics
- Quantum speedup in a memory environment
- Mechanism of entanglement preservation
- Quantum Speed Limit for Perfect State Transfer in One Dimension
- Environment assisted speed-up of the field evolution in cavity QED
- Classical-driving-assisted quantum speed-up
- Mechanism for quantum speedup in open quantum systems
- Kind of entanglement that speeds up quantum evolution
- On the Connection Between Entanglement and the Speed of Quantum Evolution
- Entanglement and the Lower Bounds on the Speed of Quantum Evolution
- Anomalous decoherence in a dissipative two-level system
- Fundamental Speed Limits to the Generation of Quantumness
- Quantum coherence and entanglement preservation in Markovian and non-Markovian dynamics via additional qubits
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- Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
- The Efficient Preparation of Normal Distributions in Quantum Registers
- Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
- Coherent control of dissipative dynamics in a periodically driven lattice array
- Quantum speed-up process of atom in dissipative cavity
- Modulating quantum evolution of moving-qubit by using classical driving