Variance of the sum of independent quantum computing errors
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913621289730048 |
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| author | Lacalle, Jesús Coronado, Luis Miguel Pozo |
| author_facet | Lacalle, Jesús Coronado, Luis Miguel Pozo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variance of the sum of independent quantum computing errors Lacalle, Jesús Coronado, Luis Miguel Pozo Quantum Physics Distributed, Parallel, and Cluster Computing Information Theory 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. |
| title | Variance of the sum of independent quantum computing errors |
| topic | Quantum Physics Distributed, Parallel, and Cluster Computing Information Theory |
| url | https://arxiv.org/abs/2412.15800 |