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modular_adder_1.py
146 lines (113 loc) · 3.92 KB
/
modular_adder_1.py
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from qlazy import QState
class MyQState(QState):
def swap(self,id_0,id_1):
dim = min(len(id_0),len(id_1))
for i in range(dim):
self.cx(id_0[i],id_1[i]).cx(id_1[i],id_0[i]).cx(id_0[i],id_1[i])
return self
def sum(self,q0,q1,q2):
self.cx(q1,q2).cx(q0,q2)
return self
def i_sum(self,q0,q1,q2):
self.cx(q0,q2).cx(q1,q2)
return self
def carry(self,q0,q1,q2,q3):
self.ccx(q1,q2,q3).cx(q1,q2).ccx(q0,q2,q3)
return self
def i_carry(self,q0,q1,q2,q3):
self.ccx(q0,q2,q3).cx(q1,q2).ccx(q1,q2,q3)
return self
def plain_adder(self,id_a,id_b,id_c):
depth = len(id_a)
for i in range(depth):
self.carry(id_c[i],id_a[i],id_b[i],id_c[i+1])
self.cx(id_a[depth-1],id_b[depth-1])
self.sum(id_c[depth-1],id_a[depth-1],id_b[depth-1])
for i in reversed(range(depth-1)):
self.i_carry(id_c[i],id_a[i],id_b[i],id_c[i+1])
self.sum(id_c[i],id_a[i],id_b[i])
return self
def i_plain_adder(self,id_a,id_b,id_c):
depth = len(id_a)
for i in range(depth-1):
self.i_sum(id_c[i],id_a[i],id_b[i])
self.carry(id_c[i],id_a[i],id_b[i],id_c[i+1])
self.i_sum(id_c[depth-1],id_a[depth-1],id_b[depth-1])
self.cx(id_a[depth-1],id_b[depth-1])
for i in reversed(range(depth)):
self.i_carry(id_c[i],id_a[i],id_b[i],id_c[i+1])
return self
def arrow(self,N,q,id):
for i in range(len(id)):
if (N>>i)%2 == 1:
self.cx(q,id[i])
return self
def modular_adder(self,N,id_a,id_b,id_c,id_N,id_t):
self.plain_adder(id_a,id_b,id_c)
self.swap(id_a,id_N)
self.i_plain_adder(id_a,id_b,id_c)
self.x(id_b[len(id_b)-1])
self.cx(id_b[len(id_b)-1],id_t[0])
self.x(id_b[len(id_b)-1])
self.arrow(N,id_t[0],id_a)
self.plain_adder(id_a,id_b,id_c)
self.arrow(N,id_t[0],id_a)
self.swap(id_a,id_N)
self.i_plain_adder(id_a,id_b,id_c)
self.cx(id_b[len(id_b)-1],id_t[0])
self.plain_adder(id_a,id_b,id_c)
return self
def encode(self,decimal,id):
for i in range(len(id)):
if (decimal>>i)%2 == 1:
self.x(id[i])
return self
def superposition(self,id):
for i in range(len(id)-1):
self.h(id[i])
return self
def result(self,id_a,id_b):
# measurement
id_ab = id_a + id_b
iid_ab = id_ab[::-1]
freq = self.m(iid_ab, shots=100).frq
# set results
a_list = []
r_list = []
for i in range(len(freq)):
if freq[i] > 0:
a_list.append(i%(2**len(id_a)))
r_list.append(i>>len(id_a))
return (a_list,r_list)
def create_register(digits):
num = 0
id_a = [i for i in range(digits+1)]
num += len(id_a)
id_b = [i+num for i in range(digits+2)]
num += len(id_b)
id_c = [i+num for i in range(digits+2)]
id_c[digits+1] = id_b[digits+1] # share the qubit id's
num += (len(id_c)-1)
id_N = [i+num for i in range(2*digits-1)]
num += len(id_N)
id_t = [i+num for i in range(1)]
num += len(id_t)
id_r = id_b[:-1] # to store the result
return (num,id_a,id_b,id_c,id_N,id_t,id_r)
if __name__ == '__main__':
# create registers
digits = 3
num,id_a,id_b,id_c,id_N,id_t,id_r = create_register(digits)
# set iput numbers
b = 5
N = 9
# initialize quantum state
qs = MyQState(num)
qs.superposition(id_a) # set superposition of |0>,|1>,..,|7> for |a>
qs.encode(b,id_b)
qs.encode(N,id_N)
# execute modular adder
qs.modular_adder(N,id_a,id_b,id_c,id_N,id_t)
a_list,r_list = qs.result(id_a,id_r)
for i in range(len(a_list)):
print("{0:}+{1:} mod {2:} -> {3:}".format(a_list[i],b,N,r_list[i]))