All reports by Author Srinivasan Arunachalam:

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TR19-041
| 7th March 2019
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Srinivasan Arunachalam, Alex Bredariol Grilo, Aarthi Sundaram#### Quantum hardness of learning shallow classical circuits

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TR18-167
| 25th September 2018
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Srinivasan Arunachalam, Sourav Chakraborty, Michal Koucky, Nitin Saurabh, Ronald de Wolf#### Improved bounds on Fourier entropy and Min-entropy

Srinivasan Arunachalam, Alex Bredariol Grilo, Aarthi Sundaram

In this paper we study the quantum learnability of constant-depth classical circuits under the uniform distribution and in the distribution-independent framework of PAC learning. In order to attain our results, we establish connections between quantum learning and quantum-secure cryptosystems. We then achieve the following results.

1) Hardness of learning ... more >>>

Srinivasan Arunachalam, Sourav Chakraborty, Michal Koucky, Nitin Saurabh, Ronald de Wolf

Given a Boolean function $f: \{-1,1\}^n\rightarrow \{-1,1\}$, define the Fourier distribution to be the distribution on subsets of $[n]$, where each $S\subseteq [n]$ is sampled with probability $\widehat{f}(S)^2$. The Fourier Entropy-Influence (FEI) conjecture of Friedgut and Kalai [FK96] seeks to relate two fundamental measures associated with the Fourier distribution: does ... more >>>