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arXiv.org e-Print Archive
Preprint . 2008
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https://doi.org/10.1007/978-0-...
Part of book or chapter of book . 2009 . Peer-reviewed
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Part of book or chapter of book . 2013 . Peer-reviewed
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Part of book or chapter of book . 2012 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2008
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Quantum Computational Complexity

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2009Embargo end date: 01 Jan 2008 English Publisher:Springer New York
Authors: Watrous, John;

doi: 10.1007/978-0-387-30440-3_428 , 10.1007/978-1-4614-1800-9_147 , 10.1007/978-3-642-27737-5_428-3 , 10.48550/arxiv.0804.3401

arXiv: http://arxiv.org/abs/0804.3401

Quantum Computational Complexity

Abstract

This article surveys quantum computational complexity, with a focus on three fundamental notions: polynomial-time quantum computations, the efficient verification of quantum proofs, and quantum interactive proof systems. Properties of quantum complexity classes based on these notions, such as BQP, QMA, and QIP, are presented. Other topics in quantum complexity, including quantum advice, space-bounded quantum computation, and bounded-depth quantum circuits, are also discussed.

44 pages, 14 figures. To appear in the Springer Encyclopedia of Complexity and Systems Science

Related Organizations
Keywords

Quantum Physics, FOS: Physical sciences, Quantum Physics (quant-ph)

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 121
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 1%
    influence
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    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
121
Top 1%
Top 10%
Top 10%
Green