dorsal/arxiv
View SchemaDistinguishability, classical information of quantum operations
| Authors | Dong Yang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504073 |
| URL | https://arxiv.org/abs/quant-ph/0504073 |
Abstract
A basic property of distinguishability is that it is non-increasing under further quantum operations. Following this, we generalize two measures of distinguishability of pure states--fidelity and von Neumann entropy, to mixed states as self-consistent measures. Then we extend these two measures to quantum operations. The information-theoretic point of the generalized Holevo quantity of an ensemble of quantum operations is constructed. Preferably it is an additive measure. The exact formula for SU(2) ensemble is presented. With the aid of the formula, we show Jozsa-Schlienz paradox that states as a whole are less distinguishable while all pairwise are more distinguishable in an ensemble of quantum states, also occurs in an ensemble of quantum operations, even in the minimal dimensional case SU(2) ensemble.
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"abstract": "A basic property of distinguishability is that it is non-increasing under\nfurther quantum operations. Following this, we generalize two measures of\ndistinguishability of pure states--fidelity and von Neumann entropy, to mixed\nstates as self-consistent measures. Then we extend these two measures to\nquantum operations. The information-theoretic point of the generalized Holevo\nquantity of an ensemble of quantum operations is constructed. Preferably it is\nan additive measure. The exact formula for SU(2) ensemble is presented. With\nthe aid of the formula, we show Jozsa-Schlienz paradox that states as a whole\nare less distinguishable while all pairwise are more distinguishable in an\nensemble of quantum states, also occurs in an ensemble of quantum operations,\neven in the minimal dimensional case SU(2) ensemble.",
"arxiv_id": "quant-ph/0504073",
"authors": [
"Dong Yang"
],
"categories": [
"quant-ph"
],
"title": "Distinguishability, classical information of quantum operations",
"url": "https://arxiv.org/abs/quant-ph/0504073"
},
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