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% Load image
img = imread('my_image.jpg');
% Convert image to grayscale
gray_img = rgb2gray(img);
% Normalize image
norm_img = double(gray_img)/255;
% Convert image to quantum state
qstate = kron(norm_img(:), [1;0]); % tensor product with zero vector
% Define graph adjacency matrix
N = size(norm_img(:),1);
A = zeros(N,N);
for i = 1:N-1
A(i,i+1) = 1;
A(i+1,i) = 1;
end
% Normalize adjacency matrix
D = diag(sum(A));
L = D - A;
L_norm = inv(D^0.5) * L * inv(D^0.5);
% Initialize quantum walk
psi0 = [1; 0];
U = expm(-i*0.1*L_norm); % quantum walk step size
% Perform quantum walk
for t = 1:100
qstate = U*qstate;
end
% Measure quantum state
p = abs(qstate).^2;
threshold = 0.5;
mask = reshape(p>threshold, size(norm_img));
% Apply mask to original image
segmented_img = bsxfun(@times, img, cast(mask, class(img)));
% Display original and segmented images
figure;
subplot(1,2,1); imshow(img); title('Original image');
subplot(1,2,2); imshow(segmented_img); title('Segmented image');
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