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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001 |
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Vol.19 No.15&16 December 2019 |
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Variance of the sum of independent quantum computing errors
(pp1294-1312)
Jesus Lacalle and Luis
Miguel Pozo Coronado
doi:
https://doi.org/10.26421/QIC19.15-16-3
Abstracts:
The sum of quantum computing errors is the key element
both for the estimation and control of errors in quantum computing and
for its statistical study. In this article we analyze the sum of two
independent quantum computing errors, X_1 and X_2,
and we obtain the formula of the variance of the sum of these errors: V(X_1+X_2)=V(X_1)+V(X_2)-\frac{V(X_1)V(X_2)}{2}. We
conjecture that this result holds true for general quantum computing
errors and we prove the formula for independent isotropic quantum
computing errors.
Key words:
Quantum computing
errors; variance; isotropic quantum computing errors; random variables
on spheres |
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