A Componentwise Perturbation Analysis of the $QR$ Decomposition

1993 ◽  
Vol 14 (4) ◽  
pp. 1124-1131 ◽  
Author(s):  
Hong Yuan Zha
Keyword(s):  
Perturbation Analysis ◽  
Qr Decomposition ◽  
Componentwise Perturbation

scholarly journals Perturbation Analysis of Quantum Reset Models

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye
Keyword(s):  
Steady State ◽  
Perturbation Analysis ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Markov Semigroup ◽  
Coupling Constant ◽  
Coupling Term ◽  
Open Quantum ◽  
Effective Dynamics ◽  
A Chain

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.

scholarly journals Multipath number estimation based on QR decomposition

2021 ◽  
Vol 1738 ◽  
pp. 012069
Author(s):  
Xiangying Gao ◽  
Zhixin Liu ◽  
Yongjun Zhao ◽  
Chengcheng Liu
Keyword(s):  
Qr Decomposition

scholarly journals Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales

2021 ◽  
Vol 31 (2) ◽  
pp. 023109
Author(s):  
Guillermo H. Goldsztein ◽  
Alice N. Nadeau ◽  
Steven H. Strogatz
Keyword(s):  
Perturbation Analysis ◽  
Multiple Timescales
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