fermion_to_majorana

fermion_to_majorana(fer_op)

Map a FermionOperator to a MajoranaOperator.

Parameters

fer_op – the fermionic operator to map.

Returns

The mapped majorana operator.

Definition

This function implements the simple transformation:

where $a^\dagger_j$ ($a_j$) is the fermionic creation (annihilation) operator acting on the $j$-th spin-less fermionic mode, and $\gamma_j$/$\gamma'_j$ are the two Majorana fermion operators. In the case of the MajoranaOperator these will be stored on the even and odd Majorana modes, respectively.

Usage

>>> from qiskit_fermions.mappers.library import fermion_to_majorana
>>> from qiskit_fermions.operators import FermionOperator
>>> fer_op = FermionOperator.from_dict({((True, 0), (False, 0)): 1})
>>> maj_op = fermion_to_majorana(fer_op)
>>> print(format(maj_op.normal_ordered().simplify()))
 5.000000e-1 +0.000000e0j * ()
 0.000000e0-5.000000e-1j * (γ'0 γ0)