dorsal/arxiv
View SchemaDisturbance of operation in quantum estimation for the Gaussian P-function
| Authors | Yoshiyuki Tsuda, Keiji Matsumoto, Masahito Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304124 |
| URL | https://arxiv.org/abs/quant-ph/0304124 |
Abstract
For the quantum Gaussian state family, Hayashi proposed a quantum mechanical operation using beam splitters to estimate the location and scale parameters of the P-function, and he showed that it is asymptotically optimal. In this paper, we analyze the effect of disturbance of his operation caused by the randomness of the transparency of the beam splitters. It is shown that even if the variance of the random transparency is small, Hayashi's estimators are improper in a sense that they are biased and asymptotically inconsistent. In such a case, we propose to stop the operation and correct the biases of estimators.
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"abstract": "For the quantum Gaussian state family, Hayashi proposed a quantum mechanical\noperation using beam splitters to estimate the location and scale parameters of\nthe P-function, and he showed that it is asymptotically optimal. In this paper,\nwe analyze the effect of disturbance of his operation caused by the randomness\nof the transparency of the beam splitters. It is shown that even if the\nvariance of the random transparency is small, Hayashi\u0027s estimators are improper\nin a sense that they are biased and asymptotically inconsistent. In such a\ncase, we propose to stop the operation and correct the biases of estimators.",
"arxiv_id": "quant-ph/0304124",
"authors": [
"Yoshiyuki Tsuda",
"Keiji Matsumoto",
"Masahito Hayashi"
],
"categories": [
"quant-ph"
],
"title": "Disturbance of operation in quantum estimation for the Gaussian P-function",
"url": "https://arxiv.org/abs/quant-ph/0304124"
},
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