Quantum Computers and Unstructured Search: Finding and Counting Items with an Arbitrarily Entangled Initial State

Physics – Quantum Physics

Scientific paper

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Completely revised version, accepted for publ. on PLA.; 11 pages

Scientific paper

Grover's quantum algorithm for an unstructured search problem and the Count
algorithm by Brassard et al. are generalized to the case when the initial state
is arbitrarily and maximally entangled. This ansatz might be relevant with
quantum subroutines, when the computational qubits and the environment are
coupled, and in general when the control over the quantum system is partial.

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