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BCSE431L Fundamentals of Quantum Computing (Theory) Fall 2026-27 (C1+TC1) [VL2026270102482]
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In quantum query complexity, what is the central idea of the polynomial method for proving lower bounds?
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In the black-box (oracle) model of computation, what is treated as the main resource when analysing an algorithm's query complexity?
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In quantum query complexity, what is the adversary method mainly used for?
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For an unstructured search over N items, what is the query complexity of Grover's algorithm, up to constant factors, when there is one marked item?
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Why does quantum phase estimation use controlled powers such as U, U^2, U^4, and so on?
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In Shor's algorithm, the order r of a modulo N is the smallest positive integer satisfying which condition?
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In quantum phase estimation, a unitary operator has an eigenvalue of the form exp(2 pi i theta). What quantity is QPE designed to estimate?
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Which gates are commonly used to build an efficient circuit for the quantum Fourier transform?
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How does finding the order of a modulo N help Shor's factoring algorithm?
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What does block sensitivity of a Boolean function measure?
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