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An Algorithmic Argument for Nonadaptive Query Complexity Lower Bounds on Advised Quantum Computation | | Harumichi Nishimura
; Tomoyuki Yamakami
; | | Date: |
29 Nov 2003 | | Subject: | Quantum Physics; Computational Complexity | quant-ph cs.CC | | Abstract: | This paper employs a powerful argument, called an algorithmic argument, to prove lower bounds of the quantum query complexity of a multiple-block ordered search problem in which, given a block number i, we are to find a location of a target keyword in an ordered list of the i-th block. Apart from much studied polynomial and adversary methods for quantum query complexity lower bounds, our argument shows that the multiple-block ordered search needs a large number of nonadaptive oracle queries on a black-box model of quantum computation that is also supplemented with advice. Our argument is also applied to the notions of computational complexity theory: quantum truth-table reducibility and quantum truth-table autoreducibility. | | Source: | arXiv, quant-ph/0312003 | | Services: | Forum | Review | PDF | Favorites | |
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