TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.2.032
TI  - Efficient qudit based scheme for photonic quantum computing
PY  - 2024/06/03
UR  - https://scipost.org/SciPostPhysCore.7.2.032
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 2
SP  - 032
A1  - Karácsony, Márton
AU  - Oroszlány, László
AU  - Zimboras, Zoltan
AB  - Linear optics is a promising alternative for the realization of quantum computation protocols due to the recent advancements in integrated photonic technology. In this context, usually qubit based quantum circuits are considered, however, photonic systems naturally allow also for d-ary, i.e., qudit based, algorithms. This work investigates qudits defined by the possible photon number states of a single photon in d > 2 optical modes. We demonstrate how to construct locally optimal non-deterministic many-qudit gates using linear optics and photon number resolving detectors, and explore the use of qudit cluster states in the context of a d-ary optimization problem. We find that the qudit cluster states require less optical modes and are encoded by a fewer number of entangled photons than the qubit cluster states with similar computational capabilities. We illustrate the benefit of our qudit scheme by applying it to the k-coloring problem.
ER  -

@Article{10.21468/SciPostPhysCore.7.2.032,
	title={{Efficient qudit based scheme for photonic quantum computing}},
	author={Márton Karácsony and László Oroszlány and Zoltan Zimboras},
	journal={SciPost Phys. Core},
	volume={7},
	pages={032},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.2.032},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.2.032},
}