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arXiv quant-ph/0410014quant-ph
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线性光学门成功概率的标度

Scaling of success probabilities for linear optics gates

Stefan Scheel, Koenraad M. R. Audenaert

摘要:

利用[S. Scheel和N. Lütkenhaus,New J. Phys. \textbf{6},51(2004)]我们表明,对于最低可能的辅助光子数,在($N+1$)维信号状态上成功实现(单发)广义非线性符号移位门的概率按$1/N^2$标度。我们将自己限制在没有条件前馈的单发门。我们得到我们的结果,通过使用Vandermonde型行列式的多项式的基础上,这是密切相关的著名的雅可比多项式。

英文摘要:

By using the abstract linear-optical network derived in [S. Scheel and N. Lütkenhaus, 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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