# Arbitrary d -dimensional Pauli X gates of a flying qudit

@article{Gao2019ArbitraryD, title={Arbitrary d -dimensional Pauli X gates of a flying qudit}, author={Xiaoqin Gao and Mario Krenn and Jaroslav Kysela and Anton Zeilinger}, journal={Physical Review A}, year={2019} }

High-dimensional degrees of freedom of photons can encode more quantum information than their two-dimensional counterparts. While the increased information capacity has advantages in quantum applications (such as quantum communication), controlling and manipulating these systems has been challenging. Here we show a method to perform deterministic arbitrary high-dimensional Pauli $X$ gates for single photons carrying orbital angular momentum. The $X$ gate consists of a cyclic permutation of…

## 22 Citations

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Cyclic permutations for qudits in d dimensions

- Medicine, MathematicsScientific Reports
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The architecture for Xd and generalised Xd(p) gate will enable complex quantum algorithms for qudits, for example quantum protocols using photonic OAM states.

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In this paper, two schemes for cyclic quantum teleportation (CQT) and cyclic controlled quantum teleportation (CCQT) in a high-dimension system are proposed. In the first scheme, three distant…

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- Computer ScienceStructured Light for Optical Communication
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