Coherent control of open quantum dynamical systems

2004 ◽  
Vol 70 (6) ◽  
Author(s):  
Claudio Altafini
Keyword(s):  
Dynamical Systems ◽  
Coherent Control ◽  
Open Quantum ◽  
Quantum Dynamical ◽  
Quantum Dynamical Systems

Controllable Subsystems of Quantum Dynamical Systems

2007 ◽  
Vol 7 (5&6) ◽  
pp. 469-478
Author(s):  
M. Zhang ◽  
H.-Y. Dai ◽  
G.-H. Dong ◽  
H.-W. Xie ◽  
D.-W. Hu
Keyword(s):  
Dynamical Systems ◽  
Coherent Control ◽  
Open Systems ◽  
Open Loop ◽  
Theoretical Interpretation ◽  
Alternative Control ◽  
Open Quantum ◽  
Quantum Dynamical ◽  
Existence Conditions ◽  
Quantum Dynamical Systems

This paper proposes the concept of subsystem controllability for both closed and open quantum dynamical systems, and the existence conditions of controllable subsystems are derived accordingly. It is demonstrated that a controllable subsystem may exist for a closed quantum dynamical system even if the overall system is not controllable. Furthermore, we also demonstrate that, for a class of decoherence-free subsystems of Markovian open quantum dynamical systems, the subsystems are controllable under open-loop coherent control if the initial states of the open systems are factorized. To a certain extent, this paper gives an alternative control theoretical interpretation on why decoherence-free subsystems are useful for quantum computation.

Controllable Subspaces of Open Quantum Dynamical Systems

2008 ◽  
Vol 49 (1) ◽  
pp. 61-64 ◽  
Author(s):  
Zhang Ming ◽  
Dai Hong-Yi ◽  
Gong Er-Ling ◽  
Xie Hong-Wei ◽  
Hu De-Wen
Keyword(s):  
Dynamical Systems ◽  
Open Quantum ◽  
Quantum Dynamical ◽  
Quantum Dynamical Systems

scholarly journals MULTI-TIME CORRELATIONS IN RELAXING QUANTUM DYNAMICAL SYSTEMS

2000 ◽  
Vol 12 (07) ◽  
pp. 921-944 ◽  
Author(s):  
JOHAN ANDRIES ◽  
FABIO BENATTI ◽  
MIEKE De COCK ◽  
MARK FANNES
Keyword(s):  
Dynamical Systems ◽  
Correlation Functions ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Quantum Dynamical ◽  
Time Asymptotics ◽  
Time Correlations ◽  
Long Time ◽  
Long Time Asymptotics ◽  
Quantum Dynamical Systems

In this paper, we consider the long time asymptotics of multi-time correlation functions for quantum dynamical systems that are sufficiently random to relax to a reference state. In particular, the evolution of such systems must have a continuous spectrum. Special attention is paid to general dynamical clustering conditions and their consequences for the structure of fluctuations of temporal averages. This approach is applied to the so-called Powers–Price shifts.

scholarly journals Logical entropy of quantum dynamical systems

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 1-5 ◽  
Author(s):  
Abolfazl Ebrahimzadeh
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Quantum Logic ◽  
Quantum Dynamical ◽  
Quantum Dynamical System ◽  
Ergodic Properties ◽  
Quantum Dynamical Systems ◽  
Logical Entropy

AbstractThis paper introduces the concepts of logical entropy and conditional logical entropy of hnite partitions on a quantum logic. Some of their ergodic properties are presented. Also logical entropy of a quantum dynamical system is dehned and ergodic properties of dynamical systems on a quantum logic are investigated. Finally, the version of Kolmogorov-Sinai theorem is proved.

Sign in / Sign up

Export Citation Format

Share Document