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As given in the picture above three goats (green dots) are beginning their journey at a corner while the tiger (red dot) is beginning its journey at the opposite corner
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For a single-qubit unitary, we have, let’s break down the components of this matrix and explain their meanings: e iθ cos(φ): This component in the top-left corner of the matrix corresponds to the amplitude and phase change of the quantum state’s |0⟩ basis state: • cos(φ): This represents the amplitude (or probability) of transitioning to the |0⟩ state
The invariant is the parity of the permutation of all 16 squares plus the parity of the taxicab distance (number of rows plus number of columns) of the empty square from the lower right corner. This is an invariant because each move changes both the parity of the permutation and the parity of the taxicab distance. In particular, if the empty square is in the lower right corner then the puzzle is solvable if and only if the permutation of the remaining pieces is even
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Simply type in a name for your pattern in the top left corner and then click on the “Save pattern” button on the top right corner...Click on the “Create a resource” button on the top right corner of the screen
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