Method for compiling a quantum circuit on a trapped-ion quantum processor

A method for compiling a quantum circuit comprising a number of qubits greater than 10, preferably greater than 20, and preferably greater than 30, on a trapped-ion quantum processor, comprising:

• potentially a prior step of transforming the quantum circuit so that the quantum circuit no longer contains anything except at least one of:
• a first predetermined category of two-qubit quantum gates,
• one-qubit quantum gates,
• a step of separating said quantum circuit into:
• local layers comprising only one-qubit quantum gates,
• entangling layers comprising only at least one of:
• two-qubit quantum gates of the first category,
• one-qubit quantum gates of a second predetermined category,
• a step of compiling the local layers,
• a step of compiling the entangling layers, separate from the step of compiling the local layers,
• the step of compiling the entangling layers transforming the quantum gates of those entangling layers so that they contain only:
• collective or entangling N-qubit quantum gates of a third predetermined category,
• one-qubit quantum gates of a fourth predetermined category,
• a step of grouping together the compiled local layers and the compiled entangling layers into a compiled quantum circuit.