dorsal/arxiv
View SchemaOptimal quantum circuits for general phase estimation
| Authors | W. van Dam, G. M. D'Ariano, A. Ekert, C. Macchiavello, M. Mosca |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609160 |
| URL | https://arxiv.org/abs/quant-ph/0609160 |
| DOI | 10.1103/PhysRevLett.98.090501 |
Abstract
We address the problem of estimating the phase phi given N copies of the phase rotation gate u(phi). We consider, for the first time, the optimization of the general case where the circuit consists of an arbitrary input state, followed by any arrangement of the N phase rotations interspersed with arbitrary quantum operations, and ending with a POVM. Using the polynomial method, we show that, in all cases where the measure of quality of the estimate phi' for phi depends only on the difference phi'-phi, the optimal scheme has a very simple fixed form. This implies that an optimal general phase estimation procedure can be found by just optimizing the amplitudes of the initial state.
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"date_modified": "2026-03-02T18:02:30.419000Z",
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"abstract": "We address the problem of estimating the phase phi given N copies of the\nphase rotation gate u(phi). We consider, for the first time, the optimization\nof the general case where the circuit consists of an arbitrary input state,\nfollowed by any arrangement of the N phase rotations interspersed with\narbitrary quantum operations, and ending with a POVM. Using the polynomial\nmethod, we show that, in all cases where the measure of quality of the estimate\nphi\u0027 for phi depends only on the difference phi\u0027-phi, the optimal scheme has a\nvery simple fixed form. This implies that an optimal general phase estimation\nprocedure can be found by just optimizing the amplitudes of the initial state.",
"arxiv_id": "quant-ph/0609160",
"authors": [
"W. van Dam",
"G. M. D\u0027Ariano",
"A. Ekert",
"C. Macchiavello",
"M. Mosca"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.090501",
"title": "Optimal quantum circuits for general phase estimation",
"url": "https://arxiv.org/abs/quant-ph/0609160"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7dd9d20a-b958-4515-9aa0-75c6b1f263a1",
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