Quantum extractability oft-special soundΣ-protocols Sample Clauses

Quantum extractability oft-special soundΣ-protocols. In order to do quantum rewinding in the case oft-special soundΣ-protocols (as opposed to 2-special sound protocols), we need to generalize Lemma 7 from [Unr12]. The generalized lemma relates the success probability of applying a random projection to a state vector with the success probability of sequentially applyingtrandom projections, where “success probability” here is in terms of the (average) square-norm of the projected state vector. This statement gives us the means to relate the probability of a interactive prover making the verifier accept with the probability of an extractor making the verifier acceptttimes, when rewindingt 1times and using a freshly random (and independent) challenge each time.
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