Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.240403
Keywords
-
Categories
Funding
- Austrian Academy of Sciences (OAW)
- European Research Council (SIQS) [600645 EU-FP7-ICT]
- Austrian Science Fund (FWF) [SFB F40]
- Major Program of National Natural Science Foundation of China [11690030, 11690032]
- National Natural Science Foundation of China [61272418]
- China Scholarship Council (CSC)
Ask authors/readers for more resources
We show a surprising link between experimental setups to realize high-dimensional multipartite quantum states and graph theory. In these setups, the paths of photons are identified such that the photon-source information is never created. We find that each of these setups corresponds to an undirected graph, and every undirected graph corresponds to an experimental setup. Every term in the emerging quantum superposition corresponds to a perfect matching in the graph. Calculating the final quantum state is in the #P-complete complexity class, thus it cannot be done efficiently. To strengthen the link further, theorems from graph theory-such as Hall's marriage problem-are rephrased in the language of pair creation in quantum experiments. We show explicitly how this link allows one to answer questions about quantum experiments (such as which classes of entangled states can be created) with graph theoretical methods, and how to potentially simulate properties of graphs and networks with quantum experiments (such as critical exponents and phase transitions).
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available