TY - JOUR
AB - Transformations on quantum states form a basic building block of every quantum information system. From photonic polarization to two-level atoms, complete sets of quantum gates for a variety of qubit systems are well known. For multi-level quantum systems beyond qubits, the situation is more challenging. The orbital angular momentum modes of photons comprise one such high-dimensional system for which generation and measurement techniques are well-studied. However, arbitrary transformations for such quantum states are not known. Here we experimentally demonstrate a four-dimensional generalization of the Pauli X-gate and all of its integer powers on single photons carrying orbital angular momentum. Together with the well-known Z-gate, this forms the first complete set of high-dimensional quantum gates implemented experimentally. The concept of the X-gate is based on independent access to quantum states with different parities and can thus be easily generalized to other photonic degrees-of-freedom, as well as to other quantum systems such as ions and superconducting circuits.
AU - Babazadeh, Amin
AU - Erhard, Manuel
AU - Wang, Feiran
AU - Malik, Mehul
AU - Nouroozi, Rahman
AU - Krenn, Mario
AU - Zeilinger, Anton
DA - 2017/11/03/
DO - 10.1103/PhysRevLett.119.180510
JF - Physical Review Letters
PY - 2017
SE - 2017/02/23/
SP - 180510
TI - High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments
UR - https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.180510
VL - 119
ER -