منابع مشابه
Quantum advantage without entanglement
We study the advantage of pure-state quantum computation without entanglement over classical computation. For the Deutsch-Jozsa algorithm we present the maximal subproblem that can be solved without entanglement, and show that the algorithm still has an advantage over the classical ones. We further show that this subproblem is of greater significance, by proving that it contains all the Boolean...
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We prove that constant-depth quantum circuits are more powerful than their classical counterparts. To this end we introduce a non-oracular version of the BernsteinVazirani problem which we call the 2D Hidden Linear Function problem. An instance of the problem is specified by a quadratic form q that maps n-bit strings to integers modulo four. The goal is to identify a linear boolean function whi...
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Katja Ried1,2,3∗, Megan Agnew1,2∗, Lydia Vermeyden, Dominik Janzing, Robert W. Spekkens and Kevin J. Resch Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 Department of Physics & Astronomy, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, Ontario, Canada, N2L 2Y5 Max P...
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The main promise of quantum computing is to efficiently solve certain problems that are prohibitively expensive for a classical computer. Most problems with a proven quantum advantage involve the repeated use of a black box, or oracle, whose structure encodes the solution [1]. One measure of the algorithmic performance is the query complexity [2], i.e., the scaling of the number of oracle calls...
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SFI Working Papers contain accounts of scienti5ic work of the author(s) and do not necessarily represent the views of the Santa Fe Institute. We accept papers intended for publication in peer-reviewed journals or proceedings volumes, but not papers that have already appeared in print. Except for papers by our external faculty, papers must be based on work done at SFI, inspired by an invited vis...
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ژورنال
عنوان ژورنال: XRDS: Crossroads, The ACM Magazine for Students
سال: 2016
ISSN: 1528-4972,1528-4980
DOI: 10.1145/2983543