dorsal/arxiv
View SchemaScalable Noise Estimation with Random Unitary Operators
| Authors | Joseph Emerson, Robert Alicki, Karol Zyczkowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503243 |
| URL | https://arxiv.org/abs/quant-ph/0503243 |
| DOI | 10.1088/1464-4266/7/10/021 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 7 (2005) S347-S352 |
Abstract
We describe a scalable stochastic method for the experimental measurement of generalized fidelities characterizing the accuracy of the implementation of a coherent quantum transformation. The method is based on the motion reversal of random unitary operators. In the simplest case our method enables direct estimation of the average gate fidelity. The more general fidelities are characterized by a universal exponential rate of fidelity loss. In all cases the measurable fidelity decrease is directly related to the strength of the noise affecting the implementation -- quantified by the trace of the superoperator describing the non--unitary dynamics. While the scalability of our stochastic protocol makes it most relevant in large Hilbert spaces (when quantum process tomography is infeasible), our method should be immediately useful for evaluating the degree of control that is achievable in any prototype quantum processing device. By varying over different experimental arrangements and error-correction strategies additional information about the noise can be determined.
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"abstract": "We describe a scalable stochastic method for the experimental measurement of\ngeneralized fidelities characterizing the accuracy of the implementation of a\ncoherent quantum transformation. The method is based on the motion reversal of\nrandom unitary operators. In the simplest case our method enables direct\nestimation of the average gate fidelity. The more general fidelities are\ncharacterized by a universal exponential rate of fidelity loss. In all cases\nthe measurable fidelity decrease is directly related to the strength of the\nnoise affecting the implementation -- quantified by the trace of the\nsuperoperator describing the non--unitary dynamics. While the scalability of\nour stochastic protocol makes it most relevant in large Hilbert spaces (when\nquantum process tomography is infeasible), our method should be immediately\nuseful for evaluating the degree of control that is achievable in any prototype\nquantum processing device. By varying over different experimental arrangements\nand error-correction strategies additional information about the noise can be\ndetermined.",
"arxiv_id": "quant-ph/0503243",
"authors": [
"Joseph Emerson",
"Robert Alicki",
"Karol Zyczkowski"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/7/10/021",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 7 (2005) S347-S352",
"title": "Scalable Noise Estimation with Random Unitary Operators",
"url": "https://arxiv.org/abs/quant-ph/0503243"
},
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