dorsal/arxiv
View SchemaStandard forms of noisy quantum operations via depolarization
| Authors | W. Dür, M. Hein, J. I. Cirac, H. -J. Briegel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507134 |
| URL | https://arxiv.org/abs/quant-ph/0507134 |
| DOI | 10.1103/PhysRevA.72.052326 |
| Journal | Phys. Rev. A 72, 052326 (2005) |
Abstract
We consider noisy, non-local unitary operations or interactions, i.e. the corresponding evolutions are described by completely positive maps or master equations of Lindblad form. We show that by random local operations the completely positive maps can be depolarized to a standard form with a reduced number of parameters describing the noise process in such a way that the noiseless (unitary) part of the evolution is not altered. A further reduction of the parameters, in many cases even to a single one (i.e. global white noise), is possible by tailoring the decoherence process and increasing the amount of noise. We generalize these results to the dynamical case where the ideal unitary operation is given by some interaction Hamiltonian. The resulting standard forms may be used to compute lower bounds on channel capacities, to simplify quantum process tomography or to derive error thresholds for entanglement purification and quantum computation.
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"abstract": "We consider noisy, non-local unitary operations or interactions, i.e. the\ncorresponding evolutions are described by completely positive maps or master\nequations of Lindblad form. We show that by random local operations the\ncompletely positive maps can be depolarized to a standard form with a reduced\nnumber of parameters describing the noise process in such a way that the\nnoiseless (unitary) part of the evolution is not altered. A further reduction\nof the parameters, in many cases even to a single one (i.e. global white\nnoise), is possible by tailoring the decoherence process and increasing the\namount of noise. We generalize these results to the dynamical case where the\nideal unitary operation is given by some interaction Hamiltonian. The resulting\nstandard forms may be used to compute lower bounds on channel capacities, to\nsimplify quantum process tomography or to derive error thresholds for\nentanglement purification and quantum computation.",
"arxiv_id": "quant-ph/0507134",
"authors": [
"W. D\u00fcr",
"M. Hein",
"J. I. Cirac",
"H. -J. Briegel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.052326",
"journal_ref": "Phys. Rev. A 72, 052326 (2005)",
"title": "Standard forms of noisy quantum operations via depolarization",
"url": "https://arxiv.org/abs/quant-ph/0507134"
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