Arbitrary d -dimensional Pauli X gates of a flying qudit

-dimensional Pauli 
 gates of a flying qudit},
  author={Xiaoqin Gao and Mario Krenn and Jaroslav Kysela and Anton Zeilinger},
  journal={Physical Review A},
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

Figures from this paper

High-dimensional quantum gates using full-field spatial modes of photons
Unitary transformations are the fundamental building blocks of gates and operations in quantum information processing allowing the complete manipulation of quantum systems in a coherent manner. InExpand
Coherent Generation of the Complete High-Dimensional Bell Basis by Adaptive Pump Modulation
The Bell basis, a set of maximally entangled biphoton state, is a critical prerequisite towards quantum information processing, and many quantum applications have highlighted the requirement for theExpand
Parallelization of high-dimensional single-photon quantum gates
Local quantum gates represent basic building blocks of quantum computers. In photonic domain, these gates act on individual photons and are usually implemented as single optical devices. In casesExpand
High-dimensional quantum Fourier transform of twisted light
The Fourier transform proves indispensable in the processing of classical information as well as in the quantum domain, where it finds many applications ranging from state reconstruction to primeExpand
High-dimensional Fourier transform of twisted light
The Fourier transform proves indispensable in the processing of classical information as well as in the quantum domain, where it finds many applications ranging from state reconstruction to primeExpand
Cyclic permutations for qudits in d dimensions
The architecture for Xd and generalised Xd(p) gate will enable complex quantum algorithms for qudits, for example quantum protocols using photonic OAM states. Expand
Cyclic and cyclic controlled quantum teleportation in a high-dimension system
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 distantExpand
Programming multi-level quantum gates in disordered computing reservoirs via machine learning
Novel machine learning computational tools open new perspectives for quantum information systems. Here we adopt the open-source programming library TensorFlow to design multi-level quantum gates,Expand
Outcome determinism in measurement-based quantum computation with qudits
In measurement-based quantum computing (MBQC), computation is carried out by a sequence of measurements and corrections on an entangled state. Flow, and related concepts, are powerful techniques forExpand
Quantum communication with structured photons
This work outlines the required components for a global quantum network using structured photons including various entanglement sources, quantum channels, repeaters, interfaces, and routers and discusses the technological progress to generate, detect and modulate high-dimensional quantum information. Expand


High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments.
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
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 generalExpand
Generation of the Complete Four-dimensional Bell Basis
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 entanglementExpand
High-dimensional intracity quantum cryptography with structured photons
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 protocolsExpand
Engineering two-photon high-dimensional states through quantum interference
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
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
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 errorExpand
High-dimensional quantum cloning and applications to quantum hacking
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
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 quantumExpand
Sorting Photons by Radial Quantum Number.
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