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Bounds on Decoherence and Error [PDF]

open access: yesPhysical Review A, 1997
When a confined system interacts with its walls (treated quantum mechanically), there is an intertwining of degrees of freedom. We show that this need not lead to entanglement, hence decoherence. It will generally lead to error.
A. Auerbach   +10 more
core   +5 more sources

Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, new error bounds for the linear complementarity problem are obtained when the involved matrix is a weakly chained diagonally dominant B-matrix. The proposed error bounds are better than some existing results.
Feng Wang
doaj   +2 more sources

Quantum metrology with open dynamical systems

open access: yesNew Journal of Physics, 2013
This paper studies quantum limits to dynamical sensors in the presence of decoherence. A modified purification approach is used to obtain tighter quantum detection and estimation error bounds for optical phase sensing and optomechanical force sensing ...
Mankei Tsang
doaj   +2 more sources

A Comparison and Error Analysis of Error Bounds

open access: yesInternational Journal of Analysis and Applications, 2018
In this paper, we present an error analysis with the help of Ostrowski type inequalities for n-times differentiable mappings by using n-times peano kernel. A comparison is also presented which shows that obtained error bounds are better than the previous
A. R. Kashif   +3 more
doaj   +4 more sources

Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems

open access: yesOpen Journal of Mathematical Optimization, 2022
In this paper, we mainly study error bounds for a single convex inequality and semi-infinite convex constraint systems, and give characterizations of stability of error bounds via directional derivatives. For a single convex inequality, it is proved that
Wei, Zhou, Théra, Michel, Yao, Jen-Chih
doaj   +1 more source

New perspectives on covariant quantum error correction [PDF]

open access: yesQuantum, 2021
Covariant codes are quantum codes such that a symmetry transformation on the logical system could be realized by a symmetry transformation on the physical system, usually with limited capability of performing quantum error correction (an important case ...
Sisi Zhou, Zi-Wen Liu, Liang Jiang
doaj   +1 more source

On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems

open access: yesAxioms, 2022
This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
doaj   +1 more source

Error bounds revisited

open access: yesOptimization, 2022
27 ...
Cuong, Nguyen Duy, Kruger, Alexander Y.
openaire   +3 more sources

Quantum error detection .II. Bounds [PDF]

open access: yesIEEE Transactions on Information Theory, 2000
In Part II we show that there exist quantum codes whose probability of undetected error falls exponentially with the length of the code and derive bounds on this exponent.The lower (existence) bound for stabilizer codes is proved by a counting argument for classical self-orthogonal quaternary codes.
Ashikhmin, Alexei E.   +3 more
openaire   +2 more sources

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