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Suzuki Trotter

The suzuki_trotter function produces the Suzuki-Trotter product for a given order and repetitions.

Function: suzuki_trotter

Arguments:

  • pauli_operator: CArray[PauliTerm]
  • evolution_coefficient: CReal
  • order: CInt,
  • repetitions: CInt,
  • qbv: QArray[QBit]

Example

from classiq import (
    CReal,
    Output,
    Pauli,
    PauliTerm,
    QArray,
    QBit,
    allocate,
    create_model,
    qfunc,
    suzuki_trotter,
    synthesize,
    write_qmod,
)


@qfunc
def main(a: CReal, x: CReal, qba: Output[QArray[QBit]]):
    allocate(3, qba)
    suzuki_trotter(
        [
            PauliTerm(pauli=[Pauli.X, Pauli.X, Pauli.Z], coefficient=a),
            PauliTerm(pauli=[Pauli.Y, Pauli.X, Pauli.Z], coefficient=0.5),
        ],
        evolution_coefficient=x,
        order=1,
        repetitions=1,
        qbv=qba,
    )


qmod = create_model(main)
write_qmod(qmod, "suzuki_trotter")
qprog = synthesize(qmod)

References

[1] N. Hatano and M. Suzuki, Finding Exponential Product Formulas of Higher Orders, (2005). https://arxiv.org/abs/math-ph/0506007