1999
DOI: 10.1007/3-540-49208-9_12
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Quantum Computer Can Not Speed Up Iterated Applications of a Black Box

Abstract: SummaryLet a classical algorithm be determined by sequential applications of a black box performing one step of this algorithm. If we consider this black box as an oracle which gives a value f (a) for a query a, we can compute T sequential applications of f on a classical computer relative to this oracle in time T .It is proved that if T = O(2 n/7 ), where n is the length of input, then the result of T sequential applications of f can not be computed on quantum computer with oracle for f for all possible f fas… Show more

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Cited by 12 publications
(13 citation statements)
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“…. [11]), some are sped up moderately (locating an entry in a database of n entries [12]), and some are apparently sped up exponentially (Shor's algorithm for factoring an n-digit number [13]).…”
mentioning
confidence: 99%
“…. [11]), some are sped up moderately (locating an entry in a database of n entries [12]), and some are apparently sped up exponentially (Shor's algorithm for factoring an n-digit number [13]).…”
mentioning
confidence: 99%
“…However, quantum tools simply do not speed up all computing by a certain uniform amount. Some tasks are not sped up at all by using quantum tools 5, 6, some are sped up moderately 7, and some are sped up exponentially 8. Furthermore, there are tasks such as quantum cryptography that provide an absolute secrecy of communication between parties.…”
Section: Introductionmentioning
confidence: 99%
“…However, quantum tools simply do not speed up all computing by a certain uniform amount. Some tasks are not sped up at all by using quantum tools [5,6], some are sped up moderately [7], and some are sped up exponentially [8]. Furthermore, there are tasks such as quantum cryptography that provide an absolute secrecy of communication between parties.…”
mentioning
confidence: 99%