def numpartition_qaoa(n_step, nums, minimizer=None, sampler=None):
"""Do the Number partition QAOA.
:param n_step: The number of step of QAOA
:param nums: The edges list of the graph.
:returns Vqe object
"""
hamiltonian = pauli.Expr.zero()
for i, x in enumerate(nums):
hamiltonian += pauli.Z[i] * x
hamiltonian = (hamiltonian**2).simplify()
return vqe.Vqe(vqe.QaoaAnsatz(hamiltonian, n_step), minimizer, sampler)
def factoring_qaoa(n_step, num, minimizer=None, sampler=None, verbose=True):
"""Do the Number partition QAOA.
:param num: The number to be factoring.
:param n_step: The number of step of QAOA
:param edges: The edges list of the graph.
:returns result of QAOA
"""
def get_nbit(n):
m = 1
while 2**m < n:
m += 1
return m
n1_bits = get_nbit(int(num**0.5)) - 1
n2_bits = get_nbit(int(num**0.5))
def mk_expr(offset, n):
expr = pauli.Expr.from_number(1)
for i in range(n):
expr = expr + 2**(i + 1) * q(i + offset)
return expr
def bitseparator(bits):
assert len(bits) == n1_bits + n2_bits
p = 1
m = 1
for b in bits[:n1_bits]:
if b:
p += 2**m
m += 1
q = 1
m = 1
for b in bits[n1_bits:]:
if b:
q += 2**m
m += 1
return p, q
hamiltonian = (num - mk_expr(0, n1_bits) * mk_expr(n1_bits, n2_bits))**2
return vqe.Vqe(vqe.QaoaAnsatz(hamiltonian, n_step), minimizer,
sampler), bitseparator
def maxcut_qaoa(n_step, edges, minimizer=None, sampler=None, verbose=True):
"""Setup QAOA.
:param n_step: The number of step of QAOA
:param n_sample: The number of sampling time of each measurement in VQE.
If None, use calculated ideal value.
:param edges: The edges list of the graph.
:returns Vqe object
"""
sampler = sampler or vqe.non_sampling_sampler
minimizer = minimizer or vqe.get_scipy_minimizer(
method="Powell",
options={"ftol": 5.0e-2, "xtol": 5.0e-2, "maxiter": 1000, "disp": True}
)
hamiltonian = pauli.I() * 0
for i, j in edges:
hamiltonian += pauli.Z(i) * pauli.Z(j)
return vqe.Vqe(vqe.QaoaAnsatz(hamiltonian, n_step), minimizer, sampler)
def qaoa(self, shots=1, step=2, verbose=False):
from blueqat import vqe
return vqe.Vqe(vqe.QaoaAnsatz(pauli(self.qubo), step)).run()
import numpy as np
from blueqat import vqe, opt
from blueqat.pauli import *
from blueqat.pauli import qubo_bit as q
# %% maxcut
hamiltonian = 0.5 * Z[0] * Z[1] + 0.5 * Z[0] * Z[3] + 0.5 * Z[1] * Z[
2] + 0.5 * Z[2] * Z[3] + 0.5 * Z[3] * Z[4] + 0.5 * Z[2] * Z[4] - 3
step = 2
result = vqe.Vqe(vqe.QaoaAnsatz(hamiltonian, step)).run()
print(result.most_common(12))
# %% and gate
hami1 = -1 * q(0) + q(1)
hamiltonian = q(
2) + q(0) * q(1) + q(1) * q(2) + q(0) * q(2) - q(0) * q(1) * q(2) * 4
step = 4
result = vqe.Vqe(vqe.QaoaAnsatz(hami1 + hamiltonian, step)).run()
print(result.most_common(12))
# %% xor get_rating_error
hami1 = -1 * q(0) + q(1)
hamiltonian = q(0) + q(1) + q(
2) + q(0) * q(1) * q(2) * 4 - (q(0) * q(1) + q(1) * q(2) + q(0) * q(2)) * 2
step = 4
result = vqe.Vqe(vqe.QaoaAnsatz(hami1 + hamiltonian, step)).run()
print(result.most_common(12))
# %% binary integer linear programming
E = opt.optm("(3*q0+2*q1+q2-3)^2+(5*q0+2*q1+3*q2-5)^2-2*(q0+2*q1+q2)", 3)
def ground_energy_ucc(hamiltonian, steps=6):
runner = vqe.Vqe(UCCAnsatz(hamiltonian, steps, Circuit().x[0]))
result = runner.run()
return runner.ansatz.get_energy(result.circuit, runner.sampler)