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from header import *
def grover():
totalElement = 4
#the number of the qubits in theory
n = 0
amount = 2 ** n
while amount < totalElement:
amount *= 2
n += 1
#the number of qubits actually used
N = 2*n - 1
#the target element
targetE = "11"
#check the length of the target element and the totalElement
if checkE(totalElement,targetE):
c = Circuit()
qList = []
for i in range(0,N):
q = Qubit()
qList.append(q)
X(qList[N-1])
for i in range(0,N):
H(qList[i])
#act the G operator for "times" times
times = executeTimes(totalElement)
for i in range(0,times):
G(qList,targetE)
#measure the qubits
for i in range(0,N-1):
qList[i] = M(qList[i])
#execute the circuit for 1024 times
c.execute(1024)
else:
writeErrorMsg("The length of the target element isn't correspond with the number of the total elements!")
#the parameter is the size of the database.
#and the target is supposed to one element
def executeTimes(n):
theta = math.asin(math.sqrt(1 / n)) / math.pi * 180
times = (90 - theta) / (2 * theta)
if times > int(times) + 0.5:
return int(times) + 1
else:
return int(times)
def checkE(toE:int,taE:str):
if toE <= (2 ** len(taE)):
return True
else:
return False
def G(qList:list,taE:str):
qn = len(qList)
#there are four phase in this G operator
#PH1: apply the oracle operator
vl = []
for k in range(0,len(taE)):
vl.append(int(taE[k]))
tmp1 = []
for j in range(0,qn-1):
tmp1.append(qList[j])
with DMif(tmp1,vl) as dmo1:
dmo1.X(qList[qn-1])
#PH2: act H gates on the qubits except the last element
for i in range(0,qn-1):
H(qList[i])
#PH3: act the phase operator on the qubits except the last element
for i in range(0,qn-1):
X(qList[i])
H(qList[qn-2])
tmp2 = []
for j in range(0,qn-2):
tmp2.append(qList[j])
with DMif(tmp2,1) as dmo2:
dmo2.X(qList[qn-2])
H(qList[qn-2])
for i in range(0,qn-1):
X(qList[i])
#PH4: act the H gates on all the qubits
for i in range(0,qn):
H(qList[i])