bb84协议matlab代码
时间: 2023-11-15 09:55:06 浏览: 73
bb84协议是一种量子密钥分发协议,用于确保通信安全。在MATLAB中实现bb84协议的代码如下:
```matlab
% 生成随机的比特串
n = 100; % 比特串长度
Alice_bits = randi([0, 1], 1, n);
% 生成随机的基础
Alice_bases = randi([0, 1], 1, n);
% Bob随机选择测量基础
Bob_bases = randi([0, 1], 1, n);
% Alice根据基础生成量子态
Alice_states = zeros(1, n);
for i = 1:n
if Alice_bases(i) == 0 % H基础
if Alice_bits(i) == 0
Alice_states(i) = 1/sqrt(2) * [1, 1];
else
Alice_states(i) = 1/sqrt(2) * [1, -1];
end
else % V基础
if Alice_bits(i) == 0
Alice_states(i) = 1/sqrt(2) * [1, 1i];
else
Alice_states(i) = 1/sqrt(2) * [1, -1i];
end
end
end
% Bob根据基础测量量子态并得到比特串
Bob_bits = zeros(1, n);
for i = 1:n
if Bob_bases(i) == 0 % H基础测量
prob_0 = abs(Alice_states(i, 1))^2;
measurement = rand < prob_0;
if measurement
Bob_bits(i) = 0;
else
Bob_bits(i) = 1;
end
else % V基础测量
prob_0 = abs(Alice_states(i, 1))^2;
measurement = rand < prob_0;
if measurement
Bob_bits(i) = 0;
else
Bob_bits(i) = 1;
end
end
end
% Alice和Bob公开基础并筛选出相同基础的比特串
matching_bases = (Alice_bases == Bob_bases);
final_key = Alice_bits(matching_bases);
```