/
q_grover.py
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/
q_grover.py
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##############################################
##############################################
### ******** FUNCTIONS FOR GROVER ******** ###
##############################################
##############################################
from cmath import log10
import numpy as np
import scipy
import scipy.sparse
import scipy.sparse.linalg
import random
import math
from q_utilities import *
from scipy.special import gamma
from scipy.integrate import trapz
import sys
import argparse
import pandas as pd
################
### *************** QUBIT FORM OF A STATE *************** ###
################
### Determine the number of qubits required for a given dataset
def n_qubits(N):
# Input: number of elements
# Output: number of required qubits for Grover
Dim = np.log2(N)
if Dim == 0:
Dim = 1
Dim = np.ceil(Dim)
return int(Dim)
### Quantum state for a single point (decimal to qubit)
def dec_to_qubit(index, data, form='qubit'):
# Inputs 1: index of the point
# Input 2: dataset fed into grover
# Output: state vector (if form = "qubit") or dec array (if form = "dec")
# Finding dimension:
N = len(data)
Dim = n_qubits(N)
# Defining the state into its qubit form
St = bin(int(index))[2:].zfill(Dim)[::-1]
if (len(St) == 0):
print("Error in defining the state!")
if(form=='dec'):
return St
else:
#tableau to be given into the state function
tab = [np.mod(int(St[i])+1,2)*StD + np.mod(int(St[i]),2)*StU for i in range(len(St))]
#state
Stq = state(tab)
return Stq
### Quantum state for a single point (qubit to decimal)
def qubit_to_dec(qstate, data, form = "dec"):
# Inputs 1: state in the qubit form
# Input 2: dataset fed into grover
# Output: state corresponding in decimal form (if form = "dec") or cartesian form (if form = "cart")
# Finding dimension:
N = len(data)
Dim = n_qubits(N)
qubit_state = qstate
# Find position of the biggest element in qstate
index_max = int(qubit_state.argmax())
# print(index_max)
# Recover the dec form
dec_form = bin(2**(Dim) - 1 - index_max)[2:].zfill(Dim)
dec = int("0b"+dec_form[::-1],2)
#return
if form == "dec":
return dec_form
elif form == "cart":
return data.loc[dec].to_numpy()
################
### TESTS ###
################
if __name__=="__main__":
parser = argparse.ArgumentParser()
parser.add_argument('--dir', type=str, default='datasets/')
args = parser.parse_args()
myDir = args.dir
dataset = pd.read_csv(myDir + "aniso_1000_20.00_25.00_2.00.csv")
dataset = dataset[0:1000]
print(dataset.head())
print(len(dataset))
index = random.randint(0,len(dataset))
for index in range(len(dataset)):
# print("RecHit info:\n")
# print(dataset.loc[index].to_numpy())
######## Test qubit state
q_state = dec_to_qubit(index, dataset)
# print("\nRecHit quantum state:")
# print(q_state)
####### Test dec state
dec_state = qubit_to_dec(q_state, dataset)
# print("\nRecHit dec state:")
# print(dec_state)
cart_state = qubit_to_dec(q_state, dataset, form='cart')
# print("\nRecHit cart state:")
# print(cart_state)
if((dataset.loc[index].to_numpy() != cart_state).all()):
print("Failed\n")