# 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… Expand

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#### References

SHOWING 1-10 OF 47 REFERENCES

High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments.

- Physics, Medicine
- Physical review letters
- 2017

This work experimentally demonstrates a four-dimensional generalization of the Pauli X gate and all of its integer powers on single photons carrying orbital angular momentum, which forms the first complete set of high-dimensional quantum gates implemented experimentally. Expand

Cyclic transformation of orbital angular momentum modes

- Physics
- 2015

The spatial modes of photons are one realization of a QuDit, a quantum system that is described in a D-dimensional Hilbert space. In order to perform quantum information tasks with QuDits, a general… Expand

Generation of the Complete Four-dimensional Bell Basis

- Physics
- 2017

The Bell basis is a distinctive set of maximally entangled two-particle quantum states that forms the foundation for many quantum protocols such as teleportation, dense coding and entanglement… Expand

High-dimensional intracity quantum cryptography with structured photons

- Physics, Mathematics
- 2016

Quantum key distribution (QKD) promises information-theoretically secure communication and is already on the verge of commercialization. The next step will be to implement high-dimensional protocols… Expand

Engineering two-photon high-dimensional states through quantum interference

- Physics, Medicine
- Science Advances
- 2016

This work prepares a large range of high-dimensional entangled states and implements precise quantum state filtering, and characterize the full quantum state before and after the filter, and is able to determine that only the antisymmetric component of the initial state remains. Expand

Experimental access to higher-dimensional entangled quantum systems using integrated optics

- Computer Science, Mathematics
- 2015

The flexibility and generality of the system is demonstrated by realizing a complete characterization of the two qutrit space of higher-order Einstein-Podolsky-Rosen correlations and the scheme allows for complete on-chip integration. Expand

High-dimensional quantum cryptography with twisted light

- Physics
- 2015

Quantum key distribution (QKD) systems often rely on polarization of light for encoding, thus limiting the amount of information that can be sent per photon and placing tight bounds on the error… Expand

High-dimensional quantum cloning and applications to quantum hacking

- Physics, Medicine
- Science Advances
- 2017

This work performs optimal cloning of high-dimensional photonic states by means of the symmetrization method and shows the universality of the technique by conducting cloning of numerous arbitrary input states and fully characterize the cloning machine by performing quantum state tomography on cloned photons. Expand

Experimental quantum cryptography with qutrits

- Physics
- 2006

We produce two identical keys using, for the first time, entangled trinary quantum systems (qutrits) for quantum key distribution. The advantage of qutrits over the normally used binary quantum… Expand

Sorting Photons by Radial Quantum Number.

- Physics, Medicine
- Physical review letters
- 2017

A mode sorter based on the fractional Fourier transform to efficiently decompose the optical field according to its radial profile is proposed and demonstrated and can achieve unit efficiency and thus can be suitable for applications that involve quantum states of light. Expand