NDLI: QIP = PSPACE

Content Provider	ACM Digital Library
Author	Jain, Rahul Ji, Zhengfeng Upadhyay, Sarvagya Watrous, John
Copyright Year	2011
Abstract	This work considers the quantum interactive proof system model of computation, which is the (classical) interactive proof system model’s natural quantum computational analogue. An exact characterization of the expressive power of quantum interactive proof systems is obtained: the collection of computational problems having quantum interactive proof systems consists precisely of those problems solvable by deterministic Turing machines that use at most a polynomial amount of space (or, more succinctly, QIP = PSPACE). This characterization is proved through the use of a parallelized form of the matrix multiplicative weights update method, applied to a class of semidefinite programs that captures the computational power of quantum interactive proof systems. One striking implication of this characterization is that quantum computing provides no increase in computational power whatsoever over classical computing in the context of interactive proof systems, for it is well known that the collection of computational problems having classical interactive proof systems coincides with those problems solvable by polynomial-space computations.
Starting Page	1
Ending Page	27
Page Count	27
File Format	PDF
ISSN	00045411
e-ISSN	1557735X
DOI	10.1145/2049697.2049704
Journal	Journal of the ACM (JACM)
Volume Number	58
Issue Number	6
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2011-12-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Interactive proof systems Matrix multiplicative weights update method Quantum computation Semidefinite programming
Content Type	Text
Resource Type	Article
Subject	Hardware and Architecture Information Systems Control and Systems Engineering Artificial Intelligence Software

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