scholarly journals Measurement uncertainty relations: characterising optimal error bounds for qubits

2018 ◽  
Vol 51 (28) ◽  
pp. 283001 ◽  
Author(s):  
T Bullock ◽  
P Busch
Keyword(s):  
Measurement Uncertainty ◽  
Error Bounds ◽  
Uncertainty Relations ◽  
Optimal Error

scholarly journals Revisited Optimal Error Bounds for Interpolatory Integration Rules

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
François Dubeau
Keyword(s):  
Error Bounds ◽  
Error Term ◽  
Quadrature Rules ◽  
Optimal Error ◽  
Integration By Parts ◽  
Integration Rules

We present a unified way to obtain optimal error bounds for general interpolatory integration rules. The method is based on the Peano form of the error term when we use Taylor’s expansion. These bounds depend on the regularity of the integrand. The method of integration by parts “backwards” to obtain bounds is also discussed. The analysis includes quadrature rules with nodes outside the interval of integration. Best error bounds for composite integration rules are also obtained. Some consequences of symmetry are discussed.

scholarly journals Optimal error bounds for two-grid schemes applied to the Navier–Stokes equations

2012 ◽  
Vol 218 (13) ◽  
pp. 7034-7051 ◽  
Author(s):  
Javier de Frutos ◽  
Bosco García-Archilla ◽  
Julia Novo
Keyword(s):  
Error Bounds ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Optimal Error ◽  
Navier Stokes Equations

scholarly journals Optimal Error Bounds for Convergents of a Family of Continued Fractions

1996 ◽  
Vol 197 (3) ◽  
pp. 767-773 ◽  
Author(s):  
Yair Shapira ◽  
Avram Sidi ◽  
Moshe Israeli
Keyword(s):  
Error Bounds ◽  
Continued Fractions ◽  
Optimal Error

Norm-Preserving Dilations and Their Applications to Optimal Error Bounds

1982 ◽  
Vol 19 (3) ◽  
pp. 445-469 ◽  
Author(s):  
Chandler Davis ◽  
W. M. Kahan ◽  
H. F. Weinberger
Keyword(s):  
Error Bounds ◽  
Optimal Error

scholarly journals Measurement uncertainty relations

2014 ◽  
Vol 55 (4) ◽  
pp. 042111 ◽  
Author(s):  
Paul Busch ◽  
Pekka Lahti ◽  
Reinhard F. Werner
Keyword(s):  
Measurement Uncertainty ◽  
Uncertainty Relations
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