Fourier Transform of the Orbital Angular Momentum of a Single Photon
- URL: http://arxiv.org/abs/2004.12788v2
- Date: Mon, 16 Nov 2020 13:47:56 GMT
- Title: Fourier Transform of the Orbital Angular Momentum of a Single Photon
- Authors: Jaroslav Kysela, Xiaoqin Gao, Borivoje Daki\'c
- Abstract summary: Optical networks implementing single-qudit quantum computation gates may exhibit superior properties to those for qubits.
We present an important class of such networks, that implements in a deterministic and efficient way the quantum Fourier transform (QFT) in an arbitrarily large dimension.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Optical networks implementing single-qudit quantum computation gates may
exhibit superior properties to those for qubits as each of the optical elements
in the network can work in parallel on many optical modes simultaneously. We
present an important class of such networks, that implements in a deterministic
and efficient way the quantum Fourier transform (QFT) in an arbitrarily large
dimension. These networks redistribute the initial quantum state into the path
and orbital angular momentum (OAM) degrees of freedom and exhibit two modes of
operation. Either the OAM-only QFT can be implemented, which uses the path as
an internal auxiliary degree of freedom, or the path-only QFT is implemented,
which uses the OAM as the auxiliary degree of freedom. The resources for both
schemes scale linearly $O(d)$ with the dimension $d$ of the system, beating the
best known bounds for the path-encoded QFT. While the QFT of the orbital
angular momentum states of single photons has been applied in a multitude of
experiments, these schemes require specially designed elements with non-trivial
phase profiles. In contrast, we present a different approach that utilizes only
conventional optical elements.
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