openfermion.transforms.jordan_wigner

Apply the Jordan-Wigner transform to a FermionOperator, InteractionOperator, or DiagonalCoulombHamiltonian to convert to a QubitOperator.

Main aliases

openfermion.transforms.jordan_wigner(
    operator
)

Used in the tutorials
Quantum simulation of electronic structure Introduction to OpenFermion FQE vs OpenFermion vs Cirq: Quadratic Hamiltonian Evolution Hamiltonian Time Evolution and Expectation Value Computation

Operators are mapped as follows:

$a_j^\dagger -> Z_0 .. Z_{j-1} (X_j - iY_j) / 2 a_j -> Z_0 .. Z_{j-1} (X_j + iY_j) / 2$

Returns
`transformed_operator`	An instance of the QubitOperator class.

Warning
The runtime of this method is exponential in the maximum locality of the original FermionOperator.

Raises
`TypeError`	Operator must be a FermionOperator, DiagonalCoulombHamiltonian, or InteractionOperator.

Returns