Using entanglement in quantum multi-prover interactive proofs
The central question in quantum multi-prover interactive proof systems is whether or not entanglement shared among provers affects the verification power of the proof system. We study for the first time positive aspects of prior entanglement and show how it can be used to parallelize any multi-prover quantum interactive proof system to a one-round system with perfect completeness, soundness bounded away from one by an inverse-polynomial in the input size, and one extra prover. Alternatively, we can also parallelize to a three-turn system with the same number of provers, where the verifier only broadcasts the outcome of a coin flip. This "public-coin" property is somewhat surprising, since in the classical case public-coin multi-prover interactive proofs are equivalent to single-prover ones.
2-s2.0-68149178814
Tel Aviv University
Research Organization of Information and Systems National Institute of Informatics
Research Organization of Information and Systems National Institute of Informatics
California Institute of Technology
2009-06
18
2
273
307
REVIEWED
OTHER
| Funder | Funding(s) | Grant Number | Grant URL |
Alon Fellowshipof the Israeli Higher Council of Academic Research | |||
Israeli Science Foundation | |||
ERC | |||
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