A quantum algorithm detecting concentrated maps

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A Quantum Algorithm Detecting Concentrated Maps

We consider an arbitrary mapping f: {0, …, N - 1} → {0, …, N - 1} for N = 2 (n) , n some number of quantum bits. Using N calls to a classical oracle evaluating f(x) and an N-bit memory, it is possible to determine whether f(x) is one-to-one. For some radian angle 0 ≤ θ ≤ π/2, we say f(x) is θ - concentrated if and only if [Formula: see text] for some given ψ 0 and any 0 ≤ x ≤ N - 1. We present ...

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ژورنال

عنوان ژورنال: Journal of Research of the National Institute of Standards and Technology

سال: 2007

ISSN: 1044-677X

DOI: 10.6028/jres.112.025