scholarly journals Control quantum evolution speed of a single dephasing qubit for arbitrary initial states via periodic dynamical decoupling pulses

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Ya-Ju Song ◽  
Qing-Shou Tan ◽  
Le-Man Kuang
Keyword(s):  
Quantum Evolution ◽  
Dynamical Decoupling ◽  
Initial States ◽  
Evolution Speed

Quantum evolution speed in a double-layer environment

2020 ◽  
Vol 37 (4) ◽  
pp. 933
Author(s):  
Kai Xu ◽  
Guo-Feng Zhang ◽  
Yue Zhou ◽  
Wu-Ming Liu
Keyword(s):  
Double Layer ◽  
Quantum Evolution ◽  
Evolution Speed

scholarly journals Thermal quantum speed limit for classical-driving open systems

2016 ◽  
Vol 30 (32n33) ◽  
pp. 1650389
Author(s):  
W.-J. Wu ◽  
K. Yan ◽  
Yinzhong Wu ◽  
Xiang Hao
Keyword(s):  
Low Temperature ◽  
Open System ◽  
Open Systems ◽  
Quantum Evolution ◽  
Speed Limit ◽  
Driving Field ◽  
Potential Capacity ◽  
Classical Fields ◽  
Evolution Speed ◽  
Quantum Speedup

Quantum speed limit (QSL) time for open systems driven by classical fields is studied in the presence of thermal bosonic environments. The decoherence process is quantitatively described by the time convolutionless master equation. The evolution speed of an open system can be accelerated by means of driving classical fields at finite temperatures. It is found out that the structural reservoir at low temperature may contribute to the acceleration of quantum evolution. The manifest oscillation of QSL time happens under the circumstance of classical driving field. The scaling property of QSL for entangled systems is also investigated. It is demonstrated that the entanglement of open systems can be considered as one kind of resource for improving the potential capacity of thermal quantum speedup.

scholarly journals Noise-resilient quantum evolution steered by dynamical decoupling

2013 ◽  
Vol 4 (1) ◽  
Author(s):  
Gang-Qin Liu ◽  
Hoi Chun Po ◽  
Jiangfeng Du ◽  
Ren-Bao Liu ◽  
Xin-Yu Pan
Keyword(s):  
Quantum Evolution ◽  
Dynamical Decoupling

scholarly journals Quantum evolution speed in the finite-temperature bosonic environment

2018 ◽  
Vol 35 (9) ◽  
pp. 2192 ◽  
Author(s):  
Jun-Qing Cheng ◽  
Guo-Qing Zhang ◽  
Jing-Bo Xu
Keyword(s):  
Finite Temperature ◽  
Quantum Evolution ◽  
Evolution Speed

scholarly journals The semiclassical limit on a star-graph with Kirchhoff conditions

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Claudio Cacciapuoti ◽  
Davide Fermi ◽  
Andrea Posilicano
Keyword(s):  
Coherent State ◽  
Quantum Particle ◽  
Semiclassical Limit ◽  
Quantum Evolution ◽  
Star Graph ◽  
Classical Dynamics ◽  
Initial State ◽  
Scattering Operators ◽  
Initial States ◽  
Adjoint Operators

AbstractWe consider the dynamics of a quantum particle of mass m on a n-edges star-graph with Hamiltonian $$H_K=-(2m)^{-1}\hbar ^2 \Delta $$ H K = - ( 2 m ) - 1 ħ 2 Δ and Kirchhoff conditions in the vertex. We describe the semiclassical limit of the quantum evolution of an initial state supported on one of the edges and close to a Gaussian coherent state. We define the limiting classical dynamics through a Liouville operator on the graph, obtained by means of Kreĭn’s theory of singular perturbations of self-adjoint operators. For the same class of initial states, we study the semiclassical limit of the wave and scattering operators for the couple $$(H_K,H_{D}^{\oplus })$$ ( H K , H D ⊕ ) , where $$H_{D}^{\oplus }$$ H D ⊕ is the Hamiltonian with Dirichlet conditions in the vertex.

Unitary bounds and controllability of quantum evolution in NMR spectroscopy

1999 ◽  
Vol 96 (12) ◽  
pp. 1739-1744 ◽  
Author(s):  
T. S. UNTIDT, S. J. GLASER, C. GRIESIN
Keyword(s):  
Nmr Spectroscopy ◽  
Quantum Evolution

Instability and Collapse in Discrete Wave Equations

2005 ◽  
Vol 5 (3) ◽  
pp. 223-241
Author(s):  
A. Carpio ◽  
G. Duro
Keyword(s):  
Continuum Limit ◽  
Wave Equations ◽  
Numerical Solutions ◽  
Blow Up ◽  
Theoretical Predictions ◽  
Initial States ◽  
The Impact ◽  
The Continuum

AbstractUnstable growth phenomena in spatially discrete wave equations are studied. We characterize sets of initial states leading to instability and collapse and obtain analytical predictions for the blow-up time. The theoretical predictions are con- trasted with the numerical solutions computed by a variety of schemes. The behavior of the systems in the continuum limit and the impact of discreteness and friction are discussed.

scholarly journals Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling

2017 ◽  
Vol 118 (13) ◽  
Author(s):  
Genko T. Genov ◽  
Daniel Schraft ◽  
Nikolay V. Vitanov ◽  
Thomas Halfmann
Keyword(s):  
Pulse Sequences ◽  
Dynamical Decoupling

scholarly journals The Superiority of Quantum Strategy in 3-Player Prisoner’s Dilemma

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1443
Author(s):  
Zhiyuan Dong ◽  
Ai-Guo Wu
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Quantum Game ◽  
Final State ◽  
The Game Theory ◽  
Initial States ◽  
Quantum Strategy ◽  
Selection Of

In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the N-player case. The final state of quantum game theory of N-player Prisoner’s Dilemma is derived, which can be used to investigate the payoff of each player. As demonstration, two cases (2-player and 3-player) are studied to illustrate the superiority of quantum strategy in the game theory. Specifically, the non-unique entanglement parameter is found to maximize the total payoff, which oscillates periodically. Finally, the optimal strategic set is proved to depend on the selection of initial states.

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