2,159 research outputs found

    Contact between laboratory instruments and equations of quantum mechanics

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    Ambiguity in the contact between laboratory instruments and equations of quantum mechanics is formulated in terms of responses of the instruments to commands transmitted to them by a Classical digital Process-control Computer (CPC); in this way instruments are distinguished from quantum-mechanical models (sets of equations) that specify what is desired of the instruments. Results include: (1) a formulation of quantum mechanics adapted to computer-controlled instruments; (2) a lower bound on the precision of unitary transforms required for quantum searching and a lower bound on sample size needed to show that instruments implement a desired model at that precision; (3) a lower bound on precision of timing required of a CPC in directing instruments; (4) a demonstration that guesswork is necessary in ratcheting up the precision of commands.Comment: 19 pages, prepared for SPIE AeroSense 200

    The Elephant and the Mouse: Canada and the United States

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    Throughout their history, Canadians have been constantly aware of the Republic to the South. In 1775 the American Revolution spilled over into Canada as the Americans seized Montreal and tried to capture Quebec City. During the War of 1812 Canada received the brunt of American hostility toward Britain, being invaded by the United States at various points along the border, particularly along the New York State frontier. Although successful in repelling the Americans, Canada became very sensitive to her own weakness as contrasted to the growing power of the United States
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