def test_as_spin(self):
# add_sample with no energy specified, but Q given
Q = {(0, 0): -1, (0, 1): 1, (1, 1): -1}
sample0 = {0: 0, 1: 1}
sample1 = {0: 1, 1: 1}
sample2 = {0: 0, 1: 0}
h, J, offset = qubo_to_ising(Q)
response = self.response_factory()
response.add_samples_from([sample0, sample1, sample2], Q=Q)
response.add_sample(sample0, Q=Q)
spin_response = response.as_spin(-1 * offset)
for sample, energy in spin_response.items():
self.assertEqual(ising_energy(h, J, sample), energy)
spin_response = response.as_spin(-1 * offset, data_copy=True)
data_ids = {id(data) for __, data in response.samples(data=True)}
for __, data in spin_response.samples(data=True):
self.assertNotIn(id(data), data_ids)
def test_as_spin(self):
response = self.response_factory()
# set up a BQM and some samples
Q = {(0, 0): -1, (0, 1): 1, (1, 1): -1}
h, J, offset = dimod.qubo_to_ising(Q)
sample0 = {0: 0, 1: 1}
sample1 = {0: 1, 1: 1}
sample2 = {0: 0, 1: 0}
# load up the samples
response.add_samples_from([sample0, sample1, sample2], Q=Q)
response.add_sample(sample0, Q=Q)
# cast to spin
spin_response = response.as_spin(-offset)
# check that the energies are correcct
for sample, energy in spin_response.data(keys=['sample', 'energy']):
self.assertEqual(dimod.ising_energy(sample, h, J), energy)
# make a new spin response
spin_response = response.as_spin(offset)
data_ids = {id(data) for __, data in response.samples(data=True)}
for __, data in spin_response.samples(data=True):
self.assertNotIn(id(data), data_ids)
def deNovo_on_DWave():
reads = ['ATGGCGTGCA', 'GCGTGCAATG', 'TGCAATGGCG', 'AATGGCGTGC']
tspAdjM = reads_to_tspAdjM(reads)
quboAdjM = tspAdjM_to_quboAdjM(
tspAdjM, -1.6, 1.6, 1.6) # self-bias, multi-location, repetation
quboDict = quboAdjM_to_quboDict(quboAdjM)
hii, Jij, offset = dimod.qubo_to_ising(quboDict)
solve_ising_exact(hii, Jij)
solve_ising_dwave(hii, Jij)
def test_typical(self):
q = {(0, 0): 4, (0, 3): 5, (0, 5): 4, (1, 1): 5, (1, 6): 1, (1, 7): -2,
(1, 9): -3, (3, 0): -2, (3, 1): 2, (4, 5): 4, (4, 8): 2, (4, 9): -1,
(5, 1): 2, (5, 6): -5, (5, 8): -4, (6, 0): 1, (6, 5): 2, (6, 6): -4,
(6, 7): -2, (7, 0): -2, (7, 5): -3, (7, 6): -5, (7, 7): -3, (7, 8): 1,
(8, 0): 2, (8, 5): 1, (9, 7): -3}
h, j, offset = qubo_to_ising(q)
self.assertEqual(h, {0: 4.0, 1: 2.5, 3: 1.25, 4: 1.25, 5: 0.25,
6: -4.0, 7: -5.5, 8: 0.5, 9: -1.75})
norm_j = normalized_matrix(j)
self.assertEqual(norm_j, {(0, 3): 0.75, (0, 5): 1, (0, 6): 0.25, (0, 7): -0.5,
(0, 8): 0.5, (1, 3): 0.5, (1, 5): 0.5, (1, 6): 0.25,
(1, 7): -0.5, (1, 9): -0.75, (4, 5): 1, (4, 8): 0.5,
(4, 9): -0.25, (5, 6): -0.75, (5, 7): -0.75,
(5, 8): -0.75, (6, 7): -1.75, (7, 8): 0.25,
(7, 9): -0.75})
self.assertEqual(offset, -0.25)
def test_as_spin(self):
# add_sample with no energy specified, but Q given
Q = {(0, 0): -1, (0, 1): 1, (1, 1): -1}
sample0 = {0: 0, 1: 1}
sample1 = {0: 1, 1: 1}
sample2 = {0: 0, 1: 0}
h, J, offset = qubo_to_ising(Q)
response = self.response_factory()
response.add_samples_from([sample0, sample1, sample2], Q=Q)
spin_response = response.as_spin(-1 * offset)
for sample, energy in spin_response.items():
self.assertEqual(ising_energy(h, J, sample), energy)
def test_start_from_spin(self):
Q = {(0, 0): 4, (0, 3): 5, (0, 5): 4, (1, 1): 5, (1, 6): 1, (1, 7): -2,
(1, 9): -3, (3, 0): -2, (3, 1): 2, (4, 5): 4, (4, 8): 2, (4, 9): -1,
(5, 1): 2, (5, 6): -5, (5, 8): -4, (6, 0): 1, (6, 5): 2, (6, 6): -4,
(6, 7): -2, (7, 0): -2, (7, 5): -3, (7, 6): -5, (7, 7): -3, (7, 8): 1,
(8, 0): 2, (8, 5): 1, (9, 7): -3}
qoff = 1.3
h, J, ioff = qubo_to_ising(Q, qoff)
bin_sample = {}
ising_sample = {}
for v in h:
bin_sample[v] = 0
ising_sample[v] = -1
self.assertAlmostEqual(ising_energy(ising_sample, h, J, ioff),
qubo_energy(bin_sample, Q, qoff))
def test_as_spin_array(self):
response = self.response_factory()
# set up a BQM and some samples
Q = {(0, 0): -1, (0, 1): 1, (1, 1): -1}
h, J, offset = dimod.qubo_to_ising(Q)
samples = np.array([[0, 1, 0], [1, 0, 0], [0, 0, 0], [1, 1, 1]], dtype=int)
energies = np.array([dimod.qubo_energy(row, Q) for row in samples])
response.add_samples_from_array(samples, energies)
# cast to spin
spin_response = response.as_spin(-offset)
# check that the energies are correcct
for sample, energy in spin_response.items():
self.assertEqual(dimod.ising_energy(sample, h, J), energy)
# make a new spin response
spin_response = response.as_spin(offset)
data_ids = {id(data) for __, data in response.samples(data=True)}
for __, data in spin_response.samples(data=True):
self.assertNotIn(id(data), data_ids)
def anneal(C_i, C_ij, mu, sigma, l, strength_scale, energy_fraction, ngauges,
max_excited_states):
#Initialising h and J as dictionnaries
h = {}
J = {}
for i in range(len(C_i)):
h_i = -2 * sigma[i] * C_i[i]
for j in range(len(C_ij[0])):
if j > i:
J[(i, j)] = float(2 * C_ij[i][j] * sigma[i] * sigma[j])
h_i += 2 * (sigma[i] * C_ij[i][j] * mu[j])
h[i] = h_i
#applying cutoff
print("Number of J before : " + str(len(J))) #J before cutoff
float_vals = []
for i in J.values():
float_vals.append(i)
cutoff = np.percentile(float_vals, AUGMENT_CUTOFF_PERCENTILE)
to_delete = []
for k, v in J.items():
if v < cutoff:
to_delete.append(k)
for k in to_delete:
del J[k]
print("Number of J after : " + str(len(J))) # J after cutof
new_Q = {}
isingpartial = {}
if FIXING_VARIABLES:
#Optimising heuristically the number of coupling terms
Q, _ = dimod.ising_to_qubo(h, J, offset=0.0)
bqm = dimod.BinaryQuadraticModel.from_qubo(Q, offset=0.0)
simple = dimod.fix_variables(bqm, sampling_mode=False)
if simple == {}:
new_Q = Q
else:
Q_indices = []
for i in Q:
if i in simple.keys():
continue
else:
Q_indices.append(i)
new_Q = {key: Q[key] for key in Q_indices}
print('new length', len(new_Q))
isingpartial = simple
if (not FIXING_VARIABLES) or len(new_Q) > 0:
mapping = []
offset = 0
for i in range(len(C_i)):
if i in isingpartial:
mapping.append(None)
offset += 1
else:
mapping.append(i - offset)
if FIXING_VARIABLES:
new_Q_mapped = {}
for (first, second), val in new_Q.items():
new_Q_mapped[(mapping[first], mapping[second])] = val
h, J, _ = dimod.qubo_to_ising(new_Q_mapped)
#Run gauges
qaresults = []
print("Number of variables to anneal :" + str(len(h)))
for g in range(ngauges):
#Finding embedding
qaresult = []
embedded = False
for attempt in range(5):
a = np.sign(np.random.rand(len(h)) - 0.5)
float_h = []
for i in h.values():
float_h.append(i)
h_gauge = float_h * a
J_gauge = {}
for i in range(len(h)):
for j in range(len(h)):
if (i, j) in J:
J_gauge[(i, j)] = J[(i, j)] * a[i] * a[j]
try:
print("Trying to find embeding")
sampler = EmbeddingComposite(
DWaveSampler(token='secret_token'))
embedded = True
break
except ValueError: # no embedding found
print('no embedding found')
embedded = False
continue
if not embedded:
continue
print("emebeding found")
print("Quantum annealing")
try_again = True
while try_again:
try:
#Annealing, saving energy and sample list
sampleset = sampler.sample_ising(
h_gauge,
J_gauge,
chain_strength=strength_scale,
num_reads=200,
annealing_time=20)
try_again = False
except:
print('runtime or ioerror, trying again')
time.sleep(10)
try_again = True
print("Quantum done")
qaresult.append(sampleset.record[0][0].tolist())
qaresult = np.asarray(qaresult)
qaresult = qaresult * a
qaresults[g * nreads:(g + 1) * nreads] = qaresult
full_strings = np.zeros((len(qaresults), len(C_i)))
full_strings = np.asarray(full_strings)
qaresults = np.asarray(qaresults)
if FIXING_VARIABLES:
j = 0
for i in range(len(C_i)):
if i in isingpartial:
full_strings[:, i] = 2 * isingpartial[i] - 1
else:
full_strings[:, i] = qaresults[:, j]
j += 1
else:
full_strings = qaresults
s = np.asarray(full_strings)
energies = np.zeros(len(qaresults))
s[np.where(s > 1)] = 1.0
s[np.where(s < -1)] = -1.0
bits = len(s[0])
for i in range(bits):
energies += 2 * s[:, i] * (-sigma[i] * C_i[i])
for j in range(bits):
if j > i:
energies += 2 * s[:, i] * s[:, j] * sigma[i] * sigma[
j] * C_ij[i][j]
energies += 2 * s[:, i] * sigma[i] * C_ij[i][j] * mu[j]
unique_energies, unique_indices = np.unique(energies,
return_index=True)
ground_energy = np.amin(unique_energies)
if ground_energy < 0:
threshold_energy = (1 - energy_fraction) * ground_energy
else:
threshold_energy = (1 + energy_fraction) * ground_energy
lowest = np.where(unique_energies < threshold_energy)
unique_indices = unique_indices[lowest]
if len(unique_indices) > max_excited_states:
sorted_indices = np.argsort(
energies[unique_indices])[-max_excited_states:]
unique_indices = unique_indices[sorted_indices]
print("unique indices : ", unique_indices)
print(type(unique_indices[0]))
print(type(full_strings))
final_answers = full_strings[unique_indices]
print('number of selected excited states', len(final_answers))
return final_answers
else:
final_answer = []
print("Evrything resolved by FIXING_VARIABLES")
for i in range(len(C_i)):
if i in isingpartial:
final_answer.append(2 * isingpartial[i] - 1)
final_answer = np.array(final_answer)
return np.array([final_answer])
def test_no_zeros(self):
h, j, offset = qubo_to_ising({(0, 0): 0, (4, 5): 0})
self.assertEqual(h, {0: 0, 4: 0, 5: 0})
self.assertEqual(j, {})
self.assertEqual(offset, 0)
def test_trivial(self):
h, j, offset = qubo_to_ising({})
self.assertEqual(h, {})
self.assertEqual(j, {})
self.assertEqual(offset, 0)
Q = {}
for i in range(0, 16):
ni = 'n' + str(int(i / 4)) + 't' + str(int(i % 4))
for j in range(0, 16):
nj = 'n' + str(int(j / 4)) + 't' + str(int(j % 4))
if Q_matrix[i][j] != 0:
Q[(ni, nj)] = Q_matrix[i][j]
response = solver.sample_qubo(Q)
minE = min(response.data(['sample', 'energy']), key=lambda x: x[1])
for sample, energy in response.data(['sample', 'energy']):
if energy == minE[1]:
print(sample)
hii, Jij, offset = dimod.qubo_to_ising(Q)
response = solver.sample_ising(hii, Jij)
print()
minE = min(response.data(['sample', 'energy']), key=lambda x: x[1])
for sample, energy in response.data(['sample', 'energy']):
if energy == minE[1]:
print(sample)
import matplotlib.pyplot as plt
y = []
for sample, energy in response.data(['sample', 'energy']):
y.append(energy)
plt.plot(y)
plt.xlabel('Solution landscape')
return y
print('accuracy (train): %5.2f' %
(metric(y_train, predict(models, weights, X_train))))
print('accuracy (test): %5.2f' %
(metric(y_test, predict(models, weights, X_test))))
# Accuracy co-incides with strongest weak learners, AdaBoost.
print('QAOA -----------------------------')
# Solve with QAOA
# Map the QUBO to a Ising model
h, J, offset = dimod.qubo_to_ising(W)
from pyquil import Program, api
from pyquil.paulis import PauliSum, PauliTerm
from scipy.optimize import fmin_bfgs
from grove.pyqaoa.qaoa import QAOA
from forest_tools import *
qvm = api.SyncConnection()
num_nodes = w.shape[0]
ising_model = []
for i in range(num_nodes):
ising_model.append(PauliSum([PauliTerm("Z", i, h[i])]))
for j in range(i + 1, num_nodes):
ising_model.append(
PauliSum([PauliTerm("Z", i, J[i, j]) * PauliTerm("Z", j, 1.0)]))
