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Electronic Colloquium on Computational Complexity

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TR19-088 | 16th June 2019
Oded Goldreich

On the Complexity of Estimating the Effective Support Size

Revisions: 1

Loosely speaking, the effective support size of a distribution is the size of the support of a distribution that is close to it (in totally variation distance).
We study the complexity of estimating the effective support size of an unknown distribution when given samples of the distributions as well ... more >>>


TR19-087 | 10th June 2019
Rohit Agrawal

Coin Theorems and the Fourier Expansion

Revisions: 1

In this note we compare two measures of the complexity of a class $\mathcal F$ of Boolean functions studied in (unconditional) pseudorandomness: $\mathcal F$'s ability to distinguish between biased and uniform coins (the coin problem), and the norms of the different levels of the Fourier expansion of functions in $\mathcal ... more >>>


TR19-086 | 7th June 2019
Alex Bredariol Grilo, William Slofstra, Henry Yuen

Perfect zero knowledge for quantum multiprover interactive proofs

In this work we consider the interplay between multiprover interactive proofs, quantum
entanglement, and zero knowledge proofs — notions that are central pillars of complexity theory,
quantum information and cryptography. In particular, we study the relationship between the
complexity class MIP$^*$ , the set of languages decidable by multiprover interactive ... more >>>



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