dorsal/arxiv
View SchemaConditions for strictly purity-decreasing quantum Markovian dynamics
| Authors | D. A. Lidar, A. Shabani, R. Alicki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411119 |
| URL | https://arxiv.org/abs/quant-ph/0411119 |
| DOI | 10.1016/j.chemphys.2005.06.038 |
| Journal | Chem. Phys. 322, 82-86 (2006) |
Abstract
The purity, Tr(rho^2), measures how pure or mixed a quantum state rho is. It is well known that quantum dynamical semigroups that preserve the identity operator (which we refer to as unital) are strictly purity-decreasing transformations. Here we provide an almost complete characterization of the class of strictly purity-decreasing quantum dynamical semigroups. We show that in the case of finite-dimensional Hilbert spaces a dynamical semigroup is strictly purity-decreasing if and only if it is unital, while in the infinite dimensional case, unitality is only sufficient.
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"abstract": "The purity, Tr(rho^2), measures how pure or mixed a quantum state rho is. It\nis well known that quantum dynamical semigroups that preserve the identity\noperator (which we refer to as unital) are strictly purity-decreasing\ntransformations. Here we provide an almost complete characterization of the\nclass of strictly purity-decreasing quantum dynamical semigroups. We show that\nin the case of finite-dimensional Hilbert spaces a dynamical semigroup is\nstrictly purity-decreasing if and only if it is unital, while in the infinite\ndimensional case, unitality is only sufficient.",
"arxiv_id": "quant-ph/0411119",
"authors": [
"D. A. Lidar",
"A. Shabani",
"R. Alicki"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"physics.chem-ph"
],
"doi": "10.1016/j.chemphys.2005.06.038",
"journal_ref": "Chem. Phys. 322, 82-86 (2006)",
"title": "Conditions for strictly purity-decreasing quantum Markovian dynamics",
"url": "https://arxiv.org/abs/quant-ph/0411119"
},
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