qrmfold.logical_qubit_orderings module

Pre-defined 1-to-1 maps from logical qubit index to a subset of [m] of cardinality m/2.

Available orderings: - lexicographic - canonical

qrmfold.logical_qubit_orderings.lexicographic(num_variables: int, start_index: int = 0)

Return the lexicographic logical qubit ordering.

Parameters:

• num_variables – The number m of variables of the underlying classical Reed-Muller code; must be even.

• start_index – Starting logical index.

Returns ordering:

A map from logical qubit index to a unique subset of [m] of cardinality m/2.

qrmfold.logical_qubit_orderings.canonical(num_variables: int, start_index: int = 0)

Return the canonical logical qubit ordering.

The first half of the logical qubits indices is lexicographically ordered. The second half is the complement of the first half.

Parameters:

• num_variables – The number m of variables of the underlying classical Reed-Muller code; must be even.

• start_index – Starting logical index.

Returns ordering:

A map from logical qubit index to a unique subset of [m] of cardinality m/2.