dorsal/arxiv
View SchemaScaling of success probabilities for linear optics gates
| Authors | Stefan Scheel, Koenraad M. R. Audenaert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410014 |
| URL | https://arxiv.org/abs/quant-ph/0410014 |
| DOI | 10.1088/1367-2630/7/1/149 |
| Journal | New J. Phys. 7, 149 (2005) |
Abstract
By using the abstract linear-optical network derived in [S. Scheel and N. L\"utkenhaus, New J. Phys. \textbf{6}, 51 (2004)] we show that for the lowest possible ancilla photon numbers the probability of success of realizing a (single-shot) generalized nonlinear sign shift gate on an ($N+1$)-dimensional signal state scales as $1/N^2$. We limit ourselves to single-shot gates without conditional feed-forward. We derive our results by using determinants of Vandermonde-type over a polynomial basis which is closely related to the well-known Jacobi polynomials.
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"abstract": "By using the abstract linear-optical network derived in [S. Scheel and N.\nL\\\"utkenhaus, New J. Phys. \\textbf{6}, 51 (2004)] we show that for the lowest\npossible ancilla photon numbers the probability of success of realizing a\n(single-shot) generalized nonlinear sign shift gate on an ($N+1$)-dimensional\nsignal state scales as $1/N^2$. We limit ourselves to single-shot gates without\nconditional feed-forward. We derive our results by using determinants of\nVandermonde-type over a polynomial basis which is closely related to the\nwell-known Jacobi polynomials.",
"arxiv_id": "quant-ph/0410014",
"authors": [
"Stefan Scheel",
"Koenraad M. R. Audenaert"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/7/1/149",
"journal_ref": "New J. Phys. 7, 149 (2005)",
"title": "Scaling of success probabilities for linear optics gates",
"url": "https://arxiv.org/abs/quant-ph/0410014"
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