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- W2963536549 abstract "We present three contributions to the understanding of QMA with multiple provers: We give a tight soundness analysis of the protocol of (Blier and Tapp, ICQNM '09), yielding a soundness gap W(N 2 ). Our improvement is achieved without the use of an instance with a constant soundness gap (i.e., without using a PCP). We give a tight soundness analysis of the protocol of (Chen and Drucker, ArXiV '10), thereby improving their result from a monolithic protocol where Q( p N) provers are needed in order to have any soundness gap, to a protocol with a smooth trade-off between the number of provers k and a soundness gap W(k 2 N 1 ), as long as k2 W(log N). (And, when k2 Q( p N), we recover the original parameters of Chen and Drucker.) We make progress towards an open question of (Aaronson et al., ToC '09) about what kinds of NP-complete problems are amenable to sublinear multiple-prover QMA protocols, by observing that a large class of such examples can easily be derived from results already in the PCP literature — namely, at least the languages recognized by a non-deterministic RAMs in quasilinear time." @default.
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- W2963536549 date "2011-01-01" @default.
- W2963536549 modified "2023-10-17" @default.
- W2963536549 title "Improved Soundness for QMA with Multiple Provers" @default.
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