Grover算法试验

《量子算法与编程入门》4.3 Grover算法

01 grover算法在Qiskit上试验

grover.py

# grover.py
# 《量子算符与编程入门》 4.3 Grover算法
# 基于QISKit实现Grover算法
# mytoken = "mytoken"
myconfig = {
    "url": 'https://quantumexperience.ng.bluemix.net/api'
}
from IBMQuantumExperience import *

api = IBMQuantumExperience(token=mytoken, config=myconfig)

# 每行前面不要有空格和tab键
# code代码的格式要求比较严格
# 1 include "qelib1.inc" 与引号之间对多只能有一个回车换号符
code = '''include "qelib1.inc";
    qreg q[5];
    creg c[5];
    
    h q[0];
    h q[1];
    x q[2];
    h q[2];
    h q[2];
    h q[1];
    h q[2];
    cx q[2],q[1];
    h q[1];
    h q[2];
    tdg q[2];
    h q[0];
    h q[2];
    cx q[2],q[0];
    h q[0];
    h q[2];
    t q[2];
    h q[1];
    h q[2];
    cx q[2],q[1];
    h q[1];
    h q[2];
    tdg q[1];
    tdg q[2];
    h q[0];
    h q[2];
    cx q[2],q[0];
    h q[0];
    h q[2];
    h q[0];
    h q[1];
    cx q[1],q[0];
    h q[0];
    h q[1];
    t q[2];
    tdg q[1];
    h q[2];
    h q[0];
    h q[1];
    cx q[1],q[0];
    h q[0];
    h q[1];
    t q[0];
    s q[1];
    h q[0];
    h q[1];
    x q[0];
    x q[1];
    h q[1];
    h q[0];
    h q[1];
    cx q[1],q[0];
    h q[0];
    h q[1];
    x q[0];
    h q[1];
    h q[0];
    x q[1];
    measure q[0] -> c[0];
    h q[1];
    measure q[1] -> c[1];
'''
# 我申请的个人账号没有使用物理芯片的权限
# data = api.run_experiment(qasm=code, backend='ibmqx4', shots=1024, name=None, timeout=180, access_token=mytoken)
data = api.run_experiment(qasm=code, backend='simulator', shots=1024, name=None)

result = data['result']['measure']
label = result['labels']
value = result['values']
print("测量结果：")
print(label)
print("对应的概率为:")
print(value)

print("data的完整返回结果:")
print(data)

import matplotlib.pyplot as plt

plt.bar(label, value)
plt.show()

用模拟设备运行结果：

C:\Python36\python.exe D:/tmp/tensorflow/grover.py
测量结果：
['00011']
对应的概率为:
[1]
data的完整返回结果:
{'status': 'DONE', 'idExecution': '5c30a53a65bb5100566f3e2f', 'idCode': '5c30a53965bb5100566f3e2e', 'result': {'extraInfo': {'seed': 3816039801}, 'measure': {'qubits': [0, 1], 'labels': ['00011'], 'values': [1]}}}

在ibmqx4上的试验结果

02 grover算法在Liqui|>上试验

grover.fsx

#if INTERACTIVE
#r@"..\bin\Liquid1.dll"
#else
namesapce Microsoft.Research.Liquid
#endif
open System
open System.Collections.Generic
open Microsoft.Research.Liquid
open Util
open Operations

module Script=
    []
    let Grover() = 
        show "Grover算法"
        let ket = Ket(3)
        let qs = ket.Qubits
        X qs.Tail.Tail
        H >< qs
        CCNOT qs
        let target = !!(qs, 0, 1)
        H >< target
        X >< target
        H target.Tail
        CNOT target
        H target.Tail
        X >< target
        H >< qs
        M >< target
        for q in target do
            show "测量得到的结果是: %s"(q.ToString())

#if INTERACTIVE
do
    Script.Grover()
#endif

运行结果：

d:\git\Quantum\Liquid\Samples>fsi grover.fsx
0:0000.0/Grover算法
0:0000.0/
0:0000.0/===========================================================================================
0:0000.0/=    The Language-Integrated Quantum Operations (LIQUi|>) Simulator                       =
0:0000.0/=        Copyright (c) 2015,2016 Microsoft Corporation                                    =
0:0000.0/=        If you use LIQUi|> in your research, please follow the guidelines at             =
0:0000.0/=        https://github.com/StationQ/Liquid for citing LIQUi|> in your publications.     =
0:0000.0/===========================================================================================
0:0000.0/
0:0000.0/测量得到的结果是:                  0|0>+                 1|1>
0:0000.0/测量得到的结果是:                  0|0>+                 1|1>

03 grover算法在ProjectQ上试验

grover.py

# grover.py
# ProjectQ上Grover算法
from projectq.backends import CircuitDrawer
from projectq import MainEngine
from projectq.ops import *

def grover(eng, t):
    qs = eng.allocate_qureg(3)
    X | qs[2]
    All(H) | qs
    H |qs[2]
    CNOT | (qs[1], qs[2])
    Tdagger | qs[2]
    CNOT | (qs[0], qs[2])
    T | qs[2]
    CNOT | (qs[1], qs[2])
    Tdagger | qs[2]
    CNOT | (qs[0], qs[2])
    Tdagger | qs[1]
    T | qs[2]
    CNOT | (qs[0], qs[1])
    H | qs[2]
    Tdagger | qs[1]
    CNOT | (qs[0], qs[1])
    T | qs[0]
    S | qs[1]
    H | qs[0]
    H | qs[1]
    X | qs[0]
    X | qs[1]
    H | qs[1]
    CNOT | (qs[0], qs[1])
    H | qs[1]
    X | qs[0]
    X | qs[1]
    All(H) | qs
    All(Measure) | qs
    eng.flush()
    if t == 'simulator':
        print("执行Grover算法，检索到的元素是：" + str(int(qs[0])) + str(int(qs[1])))
    elif t == 'drawer':
        drawing_engine = CircuitDrawer()
        latex = drawing_engine.get_latex()
        circuit = open("grover.tex", 'w')
        circuit.write(latex)
        circuit.close();
    else:
        pass


if __name__ == "__main__":
    eng = MainEngine()
    types = 'simulator'
    grover(eng, types)
    drawing_engine = CircuitDrawer()
    eng = MainEngine(drawing_engine)
    types = 'drawer'
    grover(eng, types)

运行结果：

C:\Python36\python.exe D:/tmp/tensorflow/grover.py
执行Grover算法，检索到的元素是：11

Process finished with exit code 0

运行pdflatex grover.tex生成pdf没成功。

如有错误之处，欢迎批评指正。QQ群:579809480。