A Geometric Formulation of Quantum Algorithms
نویسنده
چکیده
The salient features of the information-processing in Simon’s period-finding algorithm and Shor’s factorization algorithm can be given a similar geometric formulation, in terms of the subspace structure of Hilbert space, to Deutsch’s original XOR algorithm. From this perspective, the XOR algorithm is really a special case of Simon’s algorithm, and all three algorithms can be seen as exploiting the nonBoolean logic represented by the projective geometry of Hilbert space in a similar way. PACS numbers: 03.65.Ta
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