-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathupdatedQuantumChat.qs
More file actions
177 lines (148 loc) · 6.37 KB
/
updatedQuantumChat.qs
File metadata and controls
177 lines (148 loc) · 6.37 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
open Microsoft.Quantum.Simulation.Core;
open Microsoft.Quantum.Simulation.Simulators;
operation QuantumChat() : Unit {
using (qubits = Qubit[12]) {
// Step 1: Initialize a quantum register to represent a message to be sent.
let messageEncoded = EncodeMessage("Hi", qubits[0..3]);
let messageEncoded2 = EncodeMessage("Hello", qubits[4..7]);
// Step 2: Apply quantum encoding to represent the message as a quantum state.
let encodedState = PrepareEncodedState([messageEncoded, messageEncoded2]);
// Step 3: Apply error correction codes to detect and correct errors during transmission.
let encodedStateEC = ApplyErrorCorrection(encodedState);
// Step 4: Apply entanglement to enable faster and more secure transmission of quantum messages.
let entangledState = Entangle(encodedStateEC);
// Step 5: Apply a quantum channel to transmit the encoded message.
let receivedState = TransmitState(entangledState);
// Step 6: Disentangle the received state to retrieve the original encoded state.
let disentangledState = Disentangle(receivedState);
// Step 7: Apply error correction codes to detect and correct errors in the received state.
let disentangledStateEC = ApplyErrorCorrection(disentangledState);
// Step 8: Apply quantum decoding to retrieve the message from the received quantum state.
let receivedMessage = DecodeMessage(disentangledStateEC, qubits);
// Step 9: Repeat steps 1-8 for multiple messages.
let messages = ["How are you?", "Goodbye"];
let encodedMessages = new Qubit[2][];
for (i in 0..1) {
let msgEncoded = EncodeMessage(messages[i], qubits[2*i..2*i+3]);
set encodedMessages[i] <- msgEncoded;
}
let state = PrepareEncodedState(encodedMessages);
let stateEC = ApplyErrorCorrection(state);
let entangledState2 = Entangle(stateEC);
let recvState = TransmitState(entangledState2);
let disentangledState2 = Disentangle(recvState);
let disentangledStateEC2 = ApplyErrorCorrection(disentangledState2);
let recvMsgs = DecodeMessage(disentangledStateEC2, qubits[0..11]);
// Step 10: Use quantum key distribution to enable secure communication.
let aliceKey = GenerateRandomKey(qubits[0..5]);
let bobKey = GenerateRandomKey(qubits[6..11]);
let sharedKey = GenerateSharedKey(aliceKey, bobKey);
let encryptedMsg = EncryptMessage("Hi, Bob! How are you?", sharedKey);
let decryptedMsg = DecryptMessage(encryptedMsg, sharedKey);
// Step 11: Implement an IRC protocol on top of the quantum communication layer to enable chat functionalities.
let irc = CreateIRC(qubits[0..11]);
// Step 12: Test the chat function with different input messages and different clients.
let msg1 = irc.SendMessage("Alice", "Bob", "Hi, Bob! How are you?");
let msg2 = irc.SendMessage("Bob", "Alice", "I'm fine, thanks. What's up?");
let chatLog = irc.GetChatLog();
Message("Chat log:");
for (log in chatLog) {
Message(log);
}
}
}
function EncodeMessage(msg: String, qubits: Qubit[]): Qubit[] {
let msgLength = Length(msg);
let qubitLength = Length(qubits);
if (msgLength > qubitLength) {
fail $"Message is too long for the given number of qubits. Message length: {msgLength}, Qubit length: {qubitLength}";
}
let bits = Encode(msg);
for (i in 0..msgLength - 1) {
if (bits[i] == One) {
X(qubits[i]);
}
}
return qubits;
}
function DecodeMessage(state: Qubit[], qubits: Qubit[]): String {
let bits = new Result[Length(qubits)];
for (i in 0..Length(qubits) - 1) {
set bits[i] <- M(qubits[i]);
}
let msg = Decode(bits);
return msg;
}
function PrepareEncodedState(encodedMsgs: Qubit[][]): Qubit[] {
let state = new Qubit[Length(encodedMsgs) * 4];
for (i in 0..Length(encodedMsgs) - 1) {
set state[i * 4..i * 4 + 3] <- encodedMsgs[i];
}
return state;
}
function ApplyErrorCorrection(state: Qubit[]): Qubit[] {
// omitted for simplicity.
return state;
}
function Entangle(state: Qubit[]): Qubit[] {
// omitted for simplicity.
return state;
}
function Disentangle(state: Qubit[]): Qubit[] {
// omitted for simplicity.
return state;
}
function GenerateRandomKey(qubits: Qubit[]): Qubit[] {
// omitted for simplicity.
return qubits;
}
function GenerateSharedKey(aliceKey: Qubit[], bobKey: Qubit[]): Qubit[] {
// omitted for simplicity.
return aliceKey;
}
function EncryptMessage(msg: String, key: Qubit[]): Qubit[] {
// omitted for simplicity.
return new Qubit[0];
}
function DecryptMessage(encryptedMsg: Qubit[], key: Qubit[]): String {
// omitted for simplicity.
return "";
}
function CreateIRC(qubits: Qubit[]): IIRC {
return new IRC(qubits);
}
interface IIRC {
operation SendMessage(from: String, to: String, msg: String): Unit;
operation GetChatLog(): String[];
}
class IRC {
let qubits: Qubit[];
let chatLog: String[];
constructor(qubits: Qubit[]) {
set chatLog = new String[0];
set this.qubits = qubits;
}
operation SendMessage(from: String, to: String, msg: String): Unit {
let encodedFrom = EncodeMessage(from, qubits[0..3]);
let encodedTo = EncodeMessage(to, qubits[8..11]);
let encodedMsg = EncodeMessage(msg, qubits[4..7]);
set qubits[0..3] <- encodedFrom;
set qubits[8..11] <- encodedTo;
set qubits[4..7] <- encodedMsg;
let state = PrepareEncodedState([qubits[0..7], qubits[8..11]]);
let stateEC = ApplyErrorCorrection(state);
let entangledState = Entangle(stateEC);
let recvState = TransmitState(entangledState);
let disentangledState = Disentangle(recvState);
let disentangledStateEC = ApplyErrorCorrection(disentangledState);
let recvMsgs = DecodeMessage(disentangledStateEC, qubits[0..11]);
let fromDecoded = DecodeMessage(recvMsgs[0..3], qubits[0..3]);
let toDecoded = DecodeMessage(recvMsgs[8..11], qubits[8..11]);
let msgDecoded = DecodeMessage(recvMsgs[4..7], qubits[4..7]);
let chatLine = $"{fromDecoded} -> {toDecoded}: {msgDecoded}";
set chatLog <- chatLine;
}
operation GetChatLog(): String[] {
return chatLog;
}
}