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

Amin Babazadeh^1,2,3, Manuel Erhard^1,2, Feiran Wang^1,2,4

¹Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.

Physical Review Letters

|December 9, 2017

Summary

This summary is machine-generated.

Researchers demonstrated a four-dimensional Pauli X gate for orbital angular momentum photons, creating the first complete set of high-dimensional quantum gates. This breakthrough advances quantum information systems beyond simple qubits.

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Area of Science:

Quantum Information Science
Quantum Optics
High-Dimensional Quantum Systems

Background:

Quantum gates are fundamental for quantum information systems.
Complete sets of quantum gates are known for qubit systems.
High-dimensional quantum systems, like orbital angular momentum photons, present challenges for arbitrary transformations.

Purpose of the Study:

To experimentally demonstrate a four-dimensional generalization of the Pauli X gate and its powers.
To establish the first complete set of high-dimensional quantum gates.
To explore the generalization of quantum gates to other photonic degrees of freedom and quantum systems.

Main Methods:

Experimental implementation of a four-dimensional Pauli X gate on single photons.
Utilizing photons with orbital angular momentum as the high-dimensional quantum system.
Combining the demonstrated X gate with the known Z gate to form a complete set.

Main Results:

Successful experimental demonstration of a four-dimensional Pauli X gate and its integer powers.
Creation of the first experimentally implemented complete set of high-dimensional quantum gates.
Validation of the parity-based concept for generalizing quantum gates.

Conclusions:

The demonstrated Pauli X gate provides a crucial tool for manipulating high-dimensional quantum states.
This work establishes a foundation for universal quantum computation in high-dimensional systems.
The principles are generalizable, paving the way for broader applications in quantum technologies.