Quantum operation control layout for a quantum computation

A method of performing a quantum computation on a quantum system, wherein the quantum computation is carried out on constituents of the quantum system, the method comprising:

• providing a quantum operation control layout for controlling the quantum computation on the quantum system, wherein the quantum computation is to be carried out on constituents of the quantum system arranged in accordance with a mesh, wherein vertices of the mesh represent possible sites for the constituents of the quantum system and each cell of the mesh indicates that quantum interactions between constituents of the quantum system arranged in the cell are possible during the quantum computation, the quantum operation control layout comprising:
• data indicating layout vertices of the mesh, and
• data indicating layout vertex sets, wherein each layout vertex set consists of layout vertices within a cell of the mesh;
• the method further comprising:
• providing the constituents of the quantum system in a spatial arrangement such that there is a constituent for every layout vertex of the mesh and, for each layout vertex set, quantum interactions are possible between constituents corresponding to layout vertices of that layout vertex set;
• for each layout vertex associated with a non-zero weight, applying a local field to the constituent corresponding to that layout vertex;
• for each layout vertex set, performing quantum interactions between constituents corresponding to the layout vertices of that layout vertex set;
• and
• measuring some or all of the constituents of the quantum system.

A method of performing a quantum computation on a quantum system, wherein the quantum computation is carried out on constituents of the quantum system, the method comprising:

• providing a quantum operation control layout for controlling the quantum computation on the quantum system, wherein the quantum computation is to be carried out on constituents of the quantum system arranged in accordance with a mesh, wherein vertices of the mesh represent possible sites for the constituents of the quantum system and each cell of the mesh indicates that quantum interactions between constituents of the quantum system arranged in that cell are possible during the quantum computation, the quantum operation control layout comprising:
• data indicating layout vertices of the mesh, and
• data indicating layout vertex sets, wherein each layout vertex set consists of layout vertices within a cell of the mesh,
• wherein at least one of the following applies:
• the quantum operation control layout comprises data representing weights associated with the layout vertices;
• the layout vertices correspond to hyperedges of a hypergraph or of an enlarged hypergraph mapped to the layout vertices according to a mesh mapping, wherein layout vertices of each layout vertex set correspond to hyperedges forming a generalized cycle of the hypergraph or of the enlarged hypergraph;
• and
• the weights associated with the layout vertices correspond to weights of the hyperedges of the hypergraph or of the enlarged hypergraph mapped to the layout vertices by the mesh mapping;
• the method further comprising:
• providing the constituents of the quantum system in a spatial arrangement such that there is a constituent for every layout vertex of the mesh and, for each layout vertex set, quantum interactions are possible between constituents corresponding to layout vertices of that layout vertex set;
• for each layout vertex associated with a non-zero weight, applying a local field to the constituent corresponding to that layout vertex;
• for each layout vertex set, performing quantum interactions between constituents corresponding to the layout vertices of that layout vertex set;
• and
• measuring some or all of the constituents of the quantum system.