Master Equation Error Propagation
Contents |
propagation of error) is the effect of variables' uncertainties (or errors, more specifically random errors) on the uncertainty of a function based on them. When the variables are the values of experimental measurements they have uncertainties due to measurement limitations (e.g., instrument precision) which propagate to the
Error Propagation Rules
combination of variables in the function. The uncertainty u can be expressed in a number of error propagation calculator ways. It may be defined by the absolute error Δx. Uncertainties can also be defined by the relative error (Δx)/x, which is usually
Error Propagation Physics
written as a percentage. Most commonly, the uncertainty on a quantity is quantified in terms of the standard deviation, σ, the positive square root of variance, σ2. The value of a quantity and its error are then expressed as error propagation chemistry an interval x ± u. If the statistical probability distribution of the variable is known or can be assumed, it is possible to derive confidence limits to describe the region within which the true value of the variable may be found. For example, the 68% confidence limits for a one-dimensional variable belonging to a normal distribution are ± one standard deviation from the value, that is, there is approximately a 68% probability that the true value lies in the error propagation square root region x ± σ. If the uncertainties are correlated then covariance must be taken into account. Correlation can arise from two different sources. First, the measurement errors may be correlated. Second, when the underlying values are correlated across a population, the uncertainties in the group averages will be correlated.[1] Contents 1 Linear combinations 2 Non-linear combinations 2.1 Simplification 2.2 Example 2.3 Caveats and warnings 2.3.1 Reciprocal 2.3.2 Shifted reciprocal 3 Example formulas 4 Example calculations 4.1 Inverse tangent function 4.2 Resistance measurement 5 See also 6 References 7 Further reading 8 External links Linear combinations[edit] Let { f k ( x 1 , x 2 , … , x n ) } {\displaystyle \ ρ 5(x_ ρ 4,x_ ρ 3,\dots ,x_ ρ 2)\}} be a set of m functions which are linear combinations of n {\displaystyle n} variables x 1 , x 2 , … , x n {\displaystyle x_ σ 7,x_ σ 6,\dots ,x_ σ 5} with combination coefficients A k 1 , A k 2 , … , A k n , ( k = 1 … m ) {\displaystyle A_ σ 1,A_ σ 0,\dots ,A_ ρ 9,(k=1\dots m)} . f k = ∑ i n A k i x i or f = A x {\displaystyle f_ ρ 5=\sum _ ρ 4^ ρ 3A_ ρ 2x_ ρ 1{\text{ or }}\mathrm ρ 0 =\mathrm σ 9 \,} and let the var
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Error Propagation Inverse
and technology of the last twenty years. To achieve error propagation excel large scale quantum computers and communication networks it is essential not only to overcome
Error Propagation Average
noise in stored quantum information, but also in general faulty quantum...https://books.google.gr/books/about/Quantum_Error_Correction.html?hl=el&id=XV9sAAAAQBAJ&utm_source=gb-gplus-shareQuantum Error CorrectionΗ βιβλιοθήκη μουΒοήθειαΣύνθετη Αναζήτηση ΒιβλίωνΠροβολή eBookΛήψη αυτού του βιβλίου σε έντυπη https://en.wikipedia.org/wiki/Propagation_of_uncertainty μορφήCambridge University PressΕλευθερουδάκηςΠαπασωτηρίουΌλοι οι πωλητές»Quantum Error CorrectionDaniel A. Lidar, Todd A. BrunCambridge University Press, 12 Σεπ 2013 - 666 σελίδες 0 Κριτικέςhttps://books.google.gr/books/about/Quantum_Error_Correction.html?hl=el&id=XV9sAAAAQBAJQuantum computation and information is one of the most exciting developments in science and technology of the last twenty years. To achieve large scale quantum https://books.google.com/books?id=XV9sAAAAQBAJ&pg=PA26&lpg=PA26&dq=master+equation+error+propagation&source=bl&ots=zr5Sw2imVP&sig=T-wtugqbZ5gfh-9twpWRv9ePfz0&hl=en&sa=X&ved=0ahUKEwibhtG60eHPAhVC64MKHQZIAqwQ6AEIUjAH computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. Basic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a reference for experts in quantum information science. Προεπισκόπηση αυτού του βιβλίου » Τι λένε οι χρήστες-Σύνταξη κριτικήςΔεν εντοπίσαμε κριτ
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