Please use this identifier to cite or link to this item: https://doi.org/10.1145/2049697.2049704
Title: QIP = PSPACE
Authors: Jain, R. 
Ji, Z.
Upadhyay, S.
Watrous, J.
Keywords: Interactive proof systems
Matrix multiplicative weights update method
Quantum computation
Semidefinite programming
Issue Date: 2011
Source: Jain, R., Ji, Z., Upadhyay, S., Watrous, J. (2011). QIP = PSPACE. Journal of the ACM 58 (6). ScholarBank@NUS Repository. https://doi.org/10.1145/2049697.2049704
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. © 2011.
Source Title: Journal of the ACM
URI: http://scholarbank.nus.edu.sg/handle/10635/40740
ISSN: 00045411
DOI: 10.1145/2049697.2049704
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