BROWNE2	Hypergraph states - their entanglement and resource properties for quantum computation
Type	Theoretical
#students	1
Orientation	Measurement-based quantum computation is one of the leading approaches for quantum computing. The way it works is very different to conventional quantum computing, and classical computing. Qubits are prepared in a special entangled quantum state called a graph state and then measured one-by-one. Recently a generalisation of these important states has been proposed - hypergraph states.
How	This project will investigate the entanglement properties of hypergraph states and assess whether this wider class of states has features which surpass the properties of graph states for quantum computation.
What	Small examples calculated by hand well help shed light on the properties of such states, but to compute properties of the states, a general efficient representation of the states will need to be developed. The way the states transform under measurement will be studied, and their advantages and disadvantages for quantum computation explored.
Special Knowlegde	Strong mathematical skill and confidence. Quantum mechanics.
Supervisor	Dr Dan Browne d.browne@ucl.ac.uk