Quantum Computing Basics 00
c++ |ExSan| ++ ↄ
iX ilinkedIn exsan.plusplus@gmail.com Mon May 26 10:18:11 2025 x: R.J.Y JOB: quantumC_1811quantumC
File: quantumC_0152.txt
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2 |ExSan| C++ |ExSan||ExSan| C++ |ExSan| Mon May 26 10:01:52 2025
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4 JOB: quantumC_0152
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6
7 chatGPT Step 1 //
8 m //
9 nents we've built so far to fully factor a composite number N //
10 r's Algorithm: //
11 p 10)
12
13
14 number of qubits: 0
15 Initial state:
16 |> : (1.000000,0.000000)*****
17 After Hadamard on all qubits:
18 |> : (1.000000,0.000000)*****
19 Qubit probabilities:
20
21 number of qubits: 1
22 Initial state:
23 |0> : (1.000000,0.000000)*****
24 After Hadamard on all qubits:
25 |0> : (0.707107,0.000000)*****
26 |1> : (0.707107,0.000000)*****
27 Qubit probabilities:
28 Qubit 0: P(|0>) = 0.5, P(|1>) = 0.5
29
30 number of qubits: 2
31 Initial state:
32 |00> : (1.000000,0.000000)*****
33 After Hadamard on all qubits:
34 |00> : (0.500000,0.000000)*****
35 |01> : (0.500000,0.000000)*****
36 |10> : (0.500000,0.000000)*****
37 |11> : (0.500000,0.000000)*****
38 Qubit probabilities:
39 Qubit 0: P(|0>) = 0.5, P(|1>) = 0.5
40 Qubit 1: P(|0>) = 0.5, P(|1>) = 0.5
41
42 number of qubits: 3
43 Initial state:
44 |000> : (1.000000,0.000000)*****
45 After Hadamard on all qubits:
46 |000> : (0.353553,0.000000)*****
47 |001> : (0.353553,0.000000)*****
48 |010> : (0.353553,0.000000)*****
49 |011> : (0.353553,0.000000)*****
50 |100> : (0.353553,0.000000)*****
51 |101> : (0.353553,0.000000)*****
52 |110> : (0.353553,0.000000)*****
53 |111> : (0.353553,0.000000)*****
54 Qubit probabilities:
55 Qubit 0: P(|0>) = 0.5, P(|1>) = 0.5
56 Qubit 1: P(|0>) = 0.5, P(|1>) = 0.5
57 Qubit 2: P(|0>) = 0.5, P(|1>) = 0.5n Initial state |000?:
58
59 |000>= 1.00000 + 0.00000 i
60 After H on qubit 0:
61
62 |000>= 0.70711 + 0.00000 i
63 |001>= 0.70711 + 0.00000 i
64 fter H on qubit 1:
65
66 |000>= 0.50000 + 0.00000 i
67 |001>= 0.50000 + 0.00000 i
68 |010>= 0.50000 + 0.00000 i
69 |011>= 0.50000 + 0.00000 i
70
71 ENDS quantumC_0152 Elapsed Time: 0.01700 sec
72 Version BOOST: 1.83.0 EXSAN @ MS VSC 2022 (64b) - 17.14.2 -toolSet(v143)
73 EXIT FROM EXSAN
File: quantumC_0514.txt
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2 |ExSan| C++ |ExSan||ExSan| C++ |ExSan| Mon May 26 10:05:14 2025
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4 JOB: quantumC_0514
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7 chatGPT Step 2
8 Let me know if you’d like to:
9 Add more gates to QuantumState (Pauli-X/Y/Z, phase, controlled gates)
10 Integrate modular exponentiation gates into the class
11 Implement inverse QFT using this class
12 Visualize states (Gnuplot, bar charts)
13 Run full Shor example using QuantumState
14
15 Initial state |00>:
16 |00>= 1.00000 + 0.00000 i
17 After X gate on qubit 0 (|00> ? |01>):
18
19 |01>= 1.00000 + 0.00000 i
20 After Y gate on qubit 1:
21
22 |11>= 0.00000 -1.00000 i
23 After Z gate on qubit 0:
24
25 |11>= -0.00000 + 1.00000 i
26
27 ENDS quantumC_0514 Elapsed Time: 0.01900 sec
28 Version BOOST: 1.83.0 EXSAN @ MS VSC 2022 (64b) - 17.14.2 -toolSet(v143)
29 EXIT FROM EXSAN
File: quantumC_0719.txt
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2 |ExSan| C++ |ExSan||ExSan| C++ |ExSan| Mon May 26 10:07:19 2025
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4 JOB: quantumC_0719
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6
7 chatGPT Step 3
8 Add more gates to QuantumState (Pauli-X/Y/Z, phase, controlled gates)
9 Integrate modular exponentiation gates into the class
10 Implement inverse QFT using this class
11 Visualize states (Gnuplot, bar charts)
12 Run full Shor example using QuantumState
13
14 Initial state |00?:
15
16 |00>= 1.00000 + 0.00000 i
17 After X on qubit 1:
18
19 |10>= 1.00000 + 0.00000 i
20 After S gate on qubit 1:
21
22 |10>= 0.00000 + 1.00000 i
23 After T gate on qubit 1:
24
25 |10>= -0.70711 + 0.70711 i
26 After arbitrary phase ? = ?/3 on qubit 1:
27
28 |10>= -0.96593 -0.25882 i
29
30 ENDS quantumC_0719 Elapsed Time: 0.01500 sec
31 Version BOOST: 1.83.0 EXSAN @ MS VSC 2022 (64b) - 17.14.2 -toolSet(v143)
32 EXIT FROM EXSAN
File: quantumC_0828.txt
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2 |ExSan| C++ |ExSan||ExSan| C++ |ExSan| Mon May 26 10:08:28 2025
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4 JOB: quantumC_0828
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6
7 chatGPT Step 4
8 Add more gates to QuantumState (Pauli-X/Y/Z, phase, controlled gates)
9 Integrate modular exponentiation gates into the class
10 Implement inverse QFT using this class
11 Visualize states (Gnuplot, bar charts)
12 Run full Shor example using QuantumState
13
14 Initial state:
15 |00>= 1.00000 + 0.00000 i
16 After X on control qubit 0:
17 |01>= 1.00000 + 0.00000 i
18 After CNOT with control = 0, target = 1:
19 |11>= 1.00000 + 0.00000 i
20 After controlled-phase theta = pi/2 with control = 0, target = 1:
21 |11>= 0.00000 + 1.00000 i
22
23 ENDS quantumC_0828 Elapsed Time: 0.01800 sec
24 Version BOOST: 1.83.0 EXSAN @ MS VSC 2022 (64b) - 17.14.2 -toolSet(v143)
25 EXIT FROM EXSAN
File: quantumC_0929.txt
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2 |ExSan| C++ |ExSan||ExSan| C++ |ExSan| Mon May 26 10:09:29 2025
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4 JOB: quantumC_0929
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7 chatGPT Step 3
8 Add more gates to QuantumState (Pauli-X/Y/Z, phase, controlled gates)
9 Integrate modular exponentiation gates into the class
10 Implement inverse QFT using this class
11 Visualize states (Gnuplot, bar charts)
12 Run full Shor example using QuantumState
13
14 Initial state |00?:
15
16 |00>= 1.00000 + 0.00000 i
17 After X on qubit 1:
18
19 |10>= 1.00000 + 0.00000 i
20 After S gate on qubit 1:
21
22 |10>= 0.00000 + 1.00000 i
23 After T gate on qubit 1:
24
25 |10>= -0.70711 + 0.70711 i
26 After arbitrary phase ? = ?/3 on qubit 1:
27
28 |10>= -0.96593 -0.25882 i
29
30 ENDS quantumC_0929 Elapsed Time: 0.01900 sec
31 Version BOOST: 1.83.0 EXSAN @ MS VSC 2022 (64b) - 17.14.2 -toolSet(v143)
32 EXIT FROM EXSAN
File: quantumC_1457.txt
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2 |ExSan| C++ |ExSan||ExSan| C++ |ExSan| Mon May 26 10:14:57 2025
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4 JOB: quantumC_1457
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7 chatGPT Step 4
8 Add more gates to QuantumState (Pauli-X/Y/Z, phase, controlled gates)
9 Integrate modular exponentiation gates into the class
10 Implement inverse QFT using this class
11 Visualize states (Gnuplot, bar charts)
12 Run full Shor example using QuantumState
13
14 Initial state:
15 |00>= 1.00000 + 0.00000 i
16 After X on control qubit 0:
17 |01>= 1.00000 + 0.00000 i
18 After CNOT with control = 0, target = 1:
19 |11>= 1.00000 + 0.00000 i
20 After controlled-phase theta = pi/2 with control = 0, target = 1:
21 |11>= 0.00000 + 1.00000 i
22
23 ENDS quantumC_1457 Elapsed Time: 0.01600 sec
24 Version BOOST: 1.83.0 EXSAN @ MS VSC 2022 (64b) - 17.14.2 -toolSet(v143)
25 EXIT FROM EXSAN
File: quantumC_1716.txt
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2 |ExSan| C++ |ExSan||ExSan| C++ |ExSan| Mon May 26 10:17:16 2025
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4 JOB: quantumC_1716
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6 dim: 2
7 Generate Exsan ( 4 , 2 )
8
9 WORKSHEET 0 @[4, 2] BOOL
10 A B
11 >------<
12 1:0 0
13 2:0 1
14 3:1 0
15 4:1 1
16 <------>
17
18
19 chatGPT Step 5
20 Add more gates to QuantumState (Pauli-X/Y/Z, phase, controlled gates)
21 Integrate modular exponentiation gates into the class
22 Implement inverse QFT using this class
23 Visualize states (Gnuplot, bar charts)
24 Run full Shor example using QuantumState
25
26 Applying Bell circuit with phase gate:
27
28 |00>= 0.70711 + 0.00000 i
29 |11>= 0.50000 + 0.50000 i
30
31 ENDS quantumC_1716 Elapsed Time: 0.02300 sec
32 Version BOOST: 1.83.0 EXSAN @ MS VSC 2022 (64b) - 17.14.2 -toolSet(v143)
33 EXIT FROM EXSAN
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