TY - GEN

T1 - Using entanglement in quantum multi-prover interactive proofs

AU - Kempe, Julia

AU - Kobayashi, Hirotada

AU - Matsumoto, Keiji

AU - Vidick, Thomas

PY - 2008

Y1 - 2008

N2 - 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 multiprover quantum interactive proof system to a one-round system with perfect completeness, soundness bounded away from 1 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.

AB - 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 multiprover quantum interactive proof system to a one-round system with perfect completeness, soundness bounded away from 1 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.

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U2 - 10.1109/CCC.2008.6

DO - 10.1109/CCC.2008.6

M3 - Conference contribution

AN - SCOPUS:51749107495

SN - 9780769531694

T3 - Proceedings of the Annual IEEE Conference on Computational Complexity

SP - 211

EP - 222

BT - Proceedings - 23rd Annual IEEE Conference on Computational Complexity, CCC 2008

T2 - 23rd Annual IEEE Conference on Computational Complexity, CCC 2008

Y2 - 23 June 2008 through 26 June 2008

ER -