Quantum Experiments and Hypergraphs: Multi-Photon Sources for Quantum
Interference, Quantum Computation and Quantum Entanglement
- URL: http://arxiv.org/abs/2003.01910v2
- Date: Mon, 16 Mar 2020 06:04:39 GMT
- Title: Quantum Experiments and Hypergraphs: Multi-Photon Sources for Quantum
Interference, Quantum Computation and Quantum Entanglement
- Authors: Xuemei Gu, Lijun Chen, Mario Krenn
- Abstract summary: We introduce the concept of hypergraphs to describe quantum optical experiments with probabilistic multi-photon sources.
Our work paves the path for the development of multi-photon high-dimensional state generation and might inspire new applications of quantum computations using hypergraph mappings.
- Score: 3.1776833268555134
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce the concept of hypergraphs to describe quantum optical
experiments with probabilistic multi-photon sources. Every hyperedge represents
a correlated photon source, and every vertex stands for an optical output path.
Such general graph description provides new insights for producing complex
high-dimensional multi-photon quantum entangled states, which go beyond
limitations imposed by pair creation via spontaneous parametric
down-conversion. Furthermore, properties of hypergraphs can be investigated
experimentally. For example, the NP-Complete problem of deciding whether a
hypergraph has a perfect matchin can be answered by experimentally detecting
multi-photon events in quantum experiments. By introducing complex weights in
hypergraphs, we show a general many-particle quantum interference and
manipulating entanglement in a pictorial way. Our work paves the path for the
development of multi-photon high-dimensional state generation and might inspire
new applications of quantum computations using hypergraph mappings.
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