def test_get_interaction_operator_one_body(self):
interaction_operator = get_interaction_operator(
FermionOperator('2^ 2'), self.n_qubits)
one_body = numpy.zeros((self.n_qubits, self.n_qubits), float)
one_body[2, 2] = 1.
self.assertEqual(interaction_operator,
InteractionOperator(0.0, one_body, self.two_body))
def test_get_interaction_operator_two_body_distinct(self):
interaction_operator = get_interaction_operator(
FermionOperator('0^ 1^ 2 3'), self.n_qubits)
two_body = numpy.zeros((self.n_qubits, self.n_qubits,
self.n_qubits, self.n_qubits), float)
two_body[1, 0, 3, 2] = 1.
self.assertEqual(interaction_operator,
InteractionOperator(0.0, self.one_body, two_body))
def setUp(self):
self.n_qubits = 5
self.fermion_term = FermionOperator('1^ 2^ 3 4', -3.17)
self.fermion_operator = self.fermion_term + hermitian_conjugated(
self.fermion_term)
self.qubit_operator = jordan_wigner(self.fermion_operator)
self.interaction_operator = get_interaction_operator(
self.fermion_operator)
def test_get_interaction_operator_identity(self):
interaction_operator = InteractionOperator(-2j, self.one_body,
self.two_body)
qubit_operator = jordan_wigner(interaction_operator)
self.assertTrue(qubit_operator == -2j * QubitOperator(()))
self.assertEqual(interaction_operator,
get_interaction_operator(reverse_jordan_wigner(
qubit_operator), self.n_qubits))
def test_get_interaction_operator_two_body(self):
interaction_operator = get_interaction_operator(
FermionOperator('2^ 2 3^ 4'), self.n_qubits)
two_body = numpy.zeros((self.n_qubits, self.n_qubits,
self.n_qubits, self.n_qubits), float)
two_body[3, 2, 4, 2] = -1.
self.assertEqual(interaction_operator,
InteractionOperator(0.0, self.one_body, two_body))
def test_jordan_wigner_twobody_interaction_op_allunique(self):
test_op = FermionOperator('1^ 2^ 3 4')
test_op += hermitian_conjugated(test_op)
retransformed_test_op = reverse_jordan_wigner(
jordan_wigner(get_interaction_operator(test_op)))
self.assertTrue(
normal_ordered(retransformed_test_op) == normal_ordered(test_op))
def test_get_interaction_operator_one_body_twoterm(self):
interaction_operator = get_interaction_operator(
FermionOperator('2^ 3', -2j) + FermionOperator('3^ 2', 3j),
self.n_qubits)
one_body = numpy.zeros((self.n_qubits, self.n_qubits), complex)
one_body[2, 3] = -2j
one_body[3, 2] = 3j
self.assertEqual(interaction_operator,
InteractionOperator(0.0, one_body, self.two_body))
def test_jordan_wigner_interaction_op_with_zero_term(self):
test_op = FermionOperator('1^ 2^ 3 4')
test_op += hermitian_conjugated(test_op)
interaction_op = get_interaction_operator(test_op)
interaction_op.constant = 0.0
retransformed_test_op = reverse_jordan_wigner(
jordan_wigner(interaction_op))
def test_bk_n_qubits_too_small(self):
with self.assertRaises(ValueError):
bravyi_kitaev(FermionOperator('2^ 3^ 5 0'), n_qubits=4)
with self.assertRaises(ValueError):
bravyi_kitaev(MajoranaOperator((2, 3, 9, 0)), n_qubits=4)
with self.assertRaises(ValueError):
bravyi_kitaev(get_interaction_operator(
FermionOperator('2^ 3^ 5 0')),
n_qubits=4)
def test_case_one_body_op_success(self):
# Case A: Simplest class of operators
# (Number operators and Excitation operators)
for i in range(self.test_range):
for j in range(i):
ham = self.two_op(i, j) + self.two_op(j, i)
n_qubits = count_qubits(ham)
opf_ham = bravyi_kitaev(ham, n_qubits)
custom = bravyi_kitaev(get_interaction_operator(ham))
assert custom == opf_ham
def test_one_body_constraints(self):
for constraint in one_body_fermion_constraints(
self.n_orbitals, self.n_fermions):
interaction_operator = get_interaction_operator(
constraint, self.n_orbitals)
constraint_value = self.fci_rdm.expectation(interaction_operator)
self.assertAlmostEqual(constraint_value, 0.)
for term, _ in constraint.terms.items():
if len(term) == 2:
self.assertTrue(term[0][1])
self.assertFalse(term[1][1])
else:
self.assertEqual(term, ())
def test_coulomb_and_exchange_ops_success(self):
# Case B: Coulomb and exchange operators
for i in range(self.test_range):
for j in range(i):
ham = self.coulomb_exchange_operator(i, j)
opf_ham = bravyi_kitaev(ham)
custom = bravyi_kitaev(get_interaction_operator(ham))
print(opf_ham)
print(custom)
assert custom == opf_ham
def test_number_excitation_op_success(self):
# Case C: Number-excitation operator
for i in range(self.test_range):
for j in range(self.test_range):
if i != j:
for k in range(self.test_range):
if k not in (i, j):
ham = self.number_excitation_operator(i, j, k)
opf_ham = bravyi_kitaev(ham)
custom = bravyi_kitaev(
get_interaction_operator(ham))
assert custom == opf_ham
def interaction_operator_generator(
self,
*,
operator: Optional['openfermion.InteractionOperator'] = None,
modes: Optional[Sequence[int]] = None
) -> 'openfermion.InteractionOperator':
"""Constructs the Hamiltonian corresponding to the gate's generator."""
if modes is None:
modes = tuple(range(self.num_qubits()))
if operator is None:
n_modes = max(modes) + 1
operator = ops.InteractionOperator.zero(n_modes)
else:
n_modes = operator.n_qubits
fermion_operator = self.fermion_generator
return get_interaction_operator(fermion_operator, n_qubits=n_modes)
def test_abstract_molecule(self):
"""Test an abstract molecule like jellium for saving and loading"""
jellium_interaction = get_interaction_operator(
jellium_model(Grid(2, 2, 1.0)))
jellium_molecule = get_molecular_data(jellium_interaction,
geometry="Jellium",
basis="PlaneWave22",
multiplicity=1,
n_electrons=4)
jellium_filename = jellium_molecule.filename
jellium_molecule.save()
jellium_molecule.load()
correct_name = "Jellium_PlaneWave22_singlet"
self.assertEqual(jellium_molecule.name, correct_name)
os.remove("{}.hdf5".format(jellium_filename))
def load_and_transform(filename, orbitals, transform):
# Load data
print('--- loading molecule ---')
molecule = MolecularData(filename=filename)
print('filename: {}'.format(molecule.filename))
#print('n_atoms: {}'.format(molecule.n_atoms))
#print('n_electrons: {}'.format(molecule.n_electrons))
#print('n_orbitals: {}'.format(molecule.n_orbitals))
#print('Canonical Orbitals: {}'.format(molecule.canonical_orbitals))
#print('n_qubits: {}'.format(molecule.n_qubits))
# get the Hamiltonian for a specific choice of active space
# set the Hamiltonian parameters
occupied_orbitals, active_orbitals = orbitals
molecular_hamiltonian = molecule.get_molecular_hamiltonian(
occupied_indices=range(occupied_orbitals),
active_indices=range(active_orbitals))
# map the operator to fermions and then qubits
fermion_hamiltonian = get_fermion_operator(molecular_hamiltonian)
# get interaction operator
interaction_hamiltonian = get_interaction_operator(fermion_hamiltonian)
if transform is 'JW':
qubit_h = jordan_wigner(fermion_hamiltonian)
qubit_h.compress()
elif transform is 'BK':
qubit_h = bravyi_kitaev(fermion_hamiltonian)
qubit_h.compress()
elif transform is 'BKSF':
qubit_h = bravyi_kitaev_fast(interaction_hamiltonian)
qubit_h.compress()
elif transform is 'BKT':
qubit_h = bravyi_kitaev_tree(fermion_hamiltonian)
qubit_h.compress()
elif transform is 'PC':
qubit_h = binary_code_transform(fermion_hamiltonian,
parity_code(2 * active_orbitals))
qubit_h.compress()
else:
print('ERROR: Unrecognized qubit transformation: {}'.format(transform))
sys.exit(2)
return qubit_h
def test_double_excitation_op_success(self):
# Case D: Double-excitation operator
for i in range(self.test_range):
for j in range(self.test_range):
for k in range(self.test_range):
for l in range(self.test_range):
if len({i, j, k, l}) == 4:
print(i, j, k, l)
ham = self.four_op(i, j, k, l) + self.four_op(
k, l, i, j)
n_qubits = count_qubits(ham)
opf_ham = bravyi_kitaev(ham, n_qubits)
custom = bravyi_kitaev(
get_interaction_operator(ham))
assert custom == opf_ham
def double_commutator_einsum(
ridx: int, rgen: FermionOperator, sidx: int, sgen: FermionOperator
) -> Tuple[int, int, float]: # testpragma: no cover
# coverage: ignore
"""
Evaluate <psi|[[H, p^q - q^p], r^s - s^r]|psi>
:param ridx: index of p^q - q^p operator in ordered list of operators
:param rgen: FermionOperator of p^q - q^p
:param sidx: ndex of r^s - s^r operator in ordered list of operators
:param sgen: FermionOperator of r^s - s^r
:return: index of p^q-q^p, index of r^s - s^r, and the commutator value
"""
rgen_tensor = get_interaction_operator(
rgen, n_qubits=num_qubits).one_body_tensor
sgen_tensor = get_interaction_operator(
sgen, n_qubits=num_qubits).one_body_tensor
opdm = rdms.n_body_tensors[(1, 0)].copy()
tpdm = rdms.n_body_tensors[(1, 1, 0, 0)].copy()
commutator_expectation = 0
# ( -1.00000) kdelta(i,q) kdelta(j,r) cre(p) des(s)
commutator_expectation += -1.0 * np.einsum(
'ij,pq,rs,iq,jr,ps',
rhf_objective.hamiltonian.one_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
opdm,
optimize=True)
# ( 1.00000) kdelta(i,q) kdelta(p,s) cre(r) des(j)
commutator_expectation += 1.0 * np.einsum(
'ij,pq,rs,iq,ps,rj',
rhf_objective.hamiltonian.one_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
opdm,
optimize=True)
# ( -1.00000) kdelta(i,s) kdelta(j,p) cre(r) des(q)
commutator_expectation += -1.0 * np.einsum(
'ij,pq,rs,is,jp,rq',
rhf_objective.hamiltonian.one_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
opdm,
optimize=True)
# ( 1.00000) kdelta(j,p) kdelta(q,r) cre(i) des(s)
commutator_expectation += 1.0 * np.einsum(
'ij,pq,rs,jp,qr,is',
rhf_objective.hamiltonian.one_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
opdm,
optimize=True)
# ( 1.00000) kdelta(i,q) kdelta(j,s) cre(p) cre(r) des(k) des(l)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,iq,js,prkl',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(i,q) kdelta(k,r) cre(j) cre(p) des(l) des(s)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,iq,kr,jpls',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(i,q) kdelta(l,r) cre(j) cre(p) des(k) des(s)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,iq,lr,jpks',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(i,q) kdelta(p,s) cre(j) cre(r) des(k) des(l)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,iq,ps,jrkl',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(i,s) kdelta(j,q) cre(p) cre(r) des(k) des(l)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,is,jq,prkl',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(i,s) kdelta(k,p) cre(j) cre(r) des(l) des(q)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,is,kp,jrlq',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(i,s) kdelta(l,p) cre(j) cre(r) des(k) des(q)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,is,lp,jrkq',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(j,q) kdelta(k,r) cre(i) cre(p) des(l) des(s)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,jq,kr,ipls',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(j,q) kdelta(l,r) cre(i) cre(p) des(k) des(s)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,jq,lr,ipks',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(j,q) kdelta(p,s) cre(i) cre(r) des(k) des(l)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,jq,ps,irkl',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(j,s) kdelta(k,p) cre(i) cre(r) des(l) des(q)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,js,kp,irlq',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(j,s) kdelta(l,p) cre(i) cre(r) des(k) des(q)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,js,lp,irkq',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(k,p) kdelta(l,r) cre(i) cre(j) des(q) des(s)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,kp,lr,ijqs',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(k,p) kdelta(q,r) cre(i) cre(j) des(l) des(s)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,kp,qr,ijls',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(k,r) kdelta(l,p) cre(i) cre(j) des(q) des(s)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,rs,kr,lp,ijqs',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(l,p) kdelta(q,r) cre(i) cre(j) des(k) des(s)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,rs,lp,qr,ijks',
rhf_objective.hamiltonian.two_body_tensor,
rgen_tensor,
sgen_tensor,
kdelta_mat,
kdelta_mat,
tpdm,
optimize=True)
return ridx, sidx, commutator_expectation
def single_commutator_einsum(
idx: int, rot_gen: FermionOperator
) -> Tuple[int, float]: # testpragma: no cover
# coverage: ignore
"""
Evaluate <psi|[H, p^q - q^p]|psi>
:param idx: integer index of p^q - q^p in the ordered set
:param rot_gen: Rotation generator p^q - q^p as a FermionOperator
:return: index and value for the commutator
"""
rot_gen_tensor = get_interaction_operator(
rot_gen, n_qubits=num_qubits).one_body_tensor
opdm = rdms.n_body_tensors[(1, 0)].copy()
tpdm = rdms.n_body_tensors[(1, 1, 0, 0)].copy()
commutator_expectation = 0
# ( -1.00000) kdelta(i,q) cre(p) des(j)
commutator_expectation += -1.0 * np.einsum(
'ij,pq,iq,pj',
rhf_objective.hamiltonian.one_body_tensor,
rot_gen_tensor,
kdelta_mat,
opdm,
optimize=True)
# ( 1.00000) kdelta(j,p) cre(i) des(q)
commutator_expectation += 1.0 * np.einsum(
'ij,pq,jp,iq',
rhf_objective.hamiltonian.one_body_tensor,
rot_gen_tensor,
kdelta_mat,
opdm,
optimize=True)
# ( 1.00000) kdelta(i,q) cre(j) cre(p) des(k) des(l)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,iq,jpkl',
rhf_objective.hamiltonian.two_body_tensor,
rot_gen_tensor,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(j,q) cre(i) cre(p) des(k) des(l)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,jq,ipkl',
rhf_objective.hamiltonian.two_body_tensor,
rot_gen_tensor,
kdelta_mat,
tpdm,
optimize=True)
# ( -1.00000) kdelta(k,p) cre(i) cre(j) des(l) des(q)
commutator_expectation += -1.0 * np.einsum(
'ijkl,pq,kp,ijlq',
rhf_objective.hamiltonian.two_body_tensor,
rot_gen_tensor,
kdelta_mat,
tpdm,
optimize=True)
# ( 1.00000) kdelta(l,p) cre(i) cre(j) des(k) des(q)
commutator_expectation += 1.0 * np.einsum(
'ijkl,pq,lp,ijkq',
rhf_objective.hamiltonian.two_body_tensor,
rot_gen_tensor,
kdelta_mat,
tpdm,
optimize=True)
return idx, commutator_expectation
def test_jordan_wigner_twobody_interaction_op_reversal_symmetric(self):
test_op = FermionOperator('1^ 2^ 2 1')
test_op += hermitian_conjugated(test_op)
self.assertTrue(
jordan_wigner(test_op) == jordan_wigner(
get_interaction_operator(test_op)))
