dorsal/arxiv
View SchemaUncertainty principle for quantum instruments and computing
| Authors | Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310071 |
| URL | https://arxiv.org/abs/quant-ph/0310071 |
| Journal | International Journal of Quantum Information (IJQI) 1, 569--588 (2003) |
Abstract
Recently, universally valid uncertainty relations have been established to set a precision limit for any instruments given a disturbance constraint in a form more general than the one originally proposed by Heisenberg. One of them leads to a quantitative generalization of the Wigner-Araki-Yanase theorem on the precision limit of measurements under conservation laws. Applying this, a rigorous lower bound is obtained for the gate error probability of physical implementations of Hadamard gates on a standard qubit of a spin 1/2 system by interactions with control fields or ancilla systems obeying the angular momentum conservation law.
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"abstract": "Recently, universally valid uncertainty relations have been established to\nset a precision limit for any instruments given a disturbance constraint in a\nform more general than the one originally proposed by Heisenberg. One of them\nleads to a quantitative generalization of the Wigner-Araki-Yanase theorem on\nthe precision limit of measurements under conservation laws. Applying this, a\nrigorous lower bound is obtained for the gate error probability of physical\nimplementations of Hadamard gates on a standard qubit of a spin 1/2 system by\ninteractions with control fields or ancilla systems obeying the angular\nmomentum conservation law.",
"arxiv_id": "quant-ph/0310071",
"authors": [
"Masanao Ozawa"
],
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"quant-ph"
],
"journal_ref": "International Journal of Quantum Information (IJQI) 1, 569--588\n (2003)",
"title": "Uncertainty principle for quantum instruments and computing",
"url": "https://arxiv.org/abs/quant-ph/0310071"
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