openfermion.transforms.normal_ordered

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Compute and return the normal ordered form of a FermionOperator,

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Main aliases

openfermion.normal_ordered, openfermion.transforms.opconversions.normal_ordered, openfermion.transforms.opconversions.term_reordering.normal_ordered

openfermion.transforms.normal_ordered(
    operator, hbar=1.0
)

Used in the notebooks

Used in the tutorials
Introduction to the bosonic operators Lowering qubit requirements using binary codes Introduction to OpenFermion

BosonOperator, QuadOperator, or InteractionOperator.

Due to the canonical commutation/anticommutation relations satisfied by these operators, there are multiple forms that the same operator can take. Here, we define the normal ordered form of each operator, providing a distinct representation for distinct operators.

In our convention, normal ordering implies terms are ordered from highest tensor factor (on left) to lowest (on right). In addition:

• FermionOperators: a^\dagger comes before a
• BosonOperators: b^\dagger comes before b
• QuadOperators: q operators come before p operators,

Args
operator	an instance of the FermionOperator, BosonOperator, QuadOperator, or InteractionOperator classes. hbar (float): the value of hbar used in the definition of the commutator [q_i, p_j] = i hbar delta_ij. By default hbar=1. This argument only applies when normal ordering QuadOperators.