---
title: "Schemes for quantum key distribution with higher-order alphabets using single-photon fractional Fourier optics • CBPF Index"
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**Science outreach****Published**

# **Schemes for quantum key distribution with higher-order alphabets using single-photon fractional Fourier optics**

**walborn sp**

06/13/2008

[**Download PDF **0.4 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbbac3/pdf) [**Contact owner**](mailto:lemelle@cbpf.br?subject=Schemes%20for%20quantum%20key%20distribution%20with%20higher-order%20alphabets%20using%20single-photon%20fractional%20Fourier%20optics)

## **Abstract**

We propose generalized quantum key distribution schemes using spatially encoded d-dimensional qudits based on fractional Fourier transform operations. We determine the necessary conditions on the orders of the transforms which ensure a shared secret random key string and briefly discuss the transmission rate and a possible encoding procedure. We also show that the fractional Fourier transform can be used to analyze more general eavesdropping strategies, including an intermediate-basis attack. The error rate and information gain for the intercept-resend and intermediate-basis attacks are briefly analyzed for a particular example. Effects of atmospheric turbulence in a free-space transmission are considered.

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>walborn sp</dd>

<dt>Type</dt>
<dd>Science outreach</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>13/06/2008</dd>

<dt>Production type</dt>
<dd>Magazine text</dd>

<dt>URL</dt>
<dd>http://pra.aps.org/abstract/PRA/v77/i6/e062323</dd>

<dt>Publication date</dt>
<dd>13/06/2008</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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