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This "obvious" result has been claimed before though we have been unable to find a constructive proof of its universality in the existing literature. In, a partial result similar to Eq. 2 was stated, but a linear search protocol was implied.
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This "obvious" result has been claimed before though we have been unable to find a constructive proof of its universality in the existing literature. In, a partial result similar to Eq. 2 was stated, but a linear search protocol was implied.
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Otherwise we can expand it as a sum of such terms and group the outcomes together.
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Otherwise we can expand it as a sum of such terms and group the outcomes together.
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This is not the case in general, in photon counting; for instance, photons are mapped to the vacuum state.
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If all outcomes are equally likely the average number of operations is half the maximum; a priori knowledge of probabilities may reduce the average number of operations by selecting the more likely outcomes first to be measured.
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