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Electronic Colloquium on Computational Complexity

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TR22-140 | 10th October 2022
Sam Gunn, Nathan Ju, Fermi Ma, Mark Zhandry

Commitments to Quantum States

Revisions: 1

What does it mean to commit to a quantum state? In this work, we propose a simple answer: a commitment to quantum messages is binding if, after the commit phase, the committed state is hidden from the sender's view. We accompany this new definition with several instantiations. We build the ... more >>>


TR22-139 | 15th October 2022
Radu Curticapean, Nutan Limaye, Srikanth Srinivasan

On the VNP-hardness of Some Monomial Symmetric Polynomials

A polynomial $P\in F[x_1,\ldots,x_n]$ is said to be symmetric if it is invariant under any permutation of its input variables. The study of symmetric polynomials is a classical topic in mathematics, specifically in algebraic combinatorics and representation theory. More recently, they have been studied in several works in computer science, ... more >>>


TR22-138 | 5th October 2022
Eric Allender, Jacob Gray, Saachi Mutreja, Harsha Tirumala, Pengxiang Wang

Robustness for Space-Bounded Statistical Zero Knowledge

Revisions: 3

We show that the space-bounded Statistical Zero Knowledge classes SZK_L and NISZK_L are surprisingly robust, in that the power of the verifier and simulator can be strengthened or weakened without affecting the resulting class. Coupled with other recent characterizations of these classes, this can be viewed as lending support to ... more >>>



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