dorsal/arxiv
View SchemaOn the fidelity of two pure states
| Authors | Andreas Winter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011053 |
| URL | https://arxiv.org/abs/quant-ph/0011053 |
| DOI | 10.1088/0305-4470/34/35/333 |
| Journal | J. Phys. A: Math. Gen., vol. 34(35), pp 7095-7101, 2001. |
Abstract
The fidelity of two pure states (also known as transition probability) is a symmetric function of two operators, and well-founded operationally as an event probability in a certain preparation-test pair. Motivated by the idea that the fidelity is the continuous quantum extension of the combinatorial equality function, we enquire whether there exists a symmetric operational way of obtaining the fidelity. It is shown that this is impossible. Finally, we discuss the optimal universal approximation by a quantum operation.
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"abstract": "The fidelity of two pure states (also known as transition probability) is a\nsymmetric function of two operators, and well-founded operationally as an event\nprobability in a certain preparation-test pair. Motivated by the idea that the\nfidelity is the continuous quantum extension of the combinatorial equality\nfunction, we enquire whether there exists a symmetric operational way of\nobtaining the fidelity. It is shown that this is impossible. Finally, we\ndiscuss the optimal universal approximation by a quantum operation.",
"arxiv_id": "quant-ph/0011053",
"authors": [
"Andreas Winter"
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"doi": "10.1088/0305-4470/34/35/333",
"journal_ref": "J. Phys. A: Math. Gen., vol. 34(35), pp 7095-7101, 2001.",
"title": "On the fidelity of two pure states",
"url": "https://arxiv.org/abs/quant-ph/0011053"
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