Search Results for author: Aarthi Sundaram

Found 4 papers, 1 papers with code

Secure Software Leasing Without Assumptions

no code implementations29 Jan 2021 Anne Broadbent, Stacey Jeffery, Sébastien Lord, Supartha Podder, Aarthi Sundaram

Given a target circuit $C$ from a circuit class, SSL produces an encoding of $C$ that enables a recipient to evaluate $C$, and also enables the originator of the software to verify that the software has been returned -- meaning that the recipient has relinquished the possibility of any further use of the software.

Quantum Physics

Quantum learning algorithms imply circuit lower bounds

no code implementations3 Dec 2020 Srinivasan Arunachalam, Alex B. Grilo, Tom Gur, Igor C. Oliveira, Aarthi Sundaram

This result is optimal in both $\gamma$ and $T$, since it is not hard to learn any class $\mathfrak{C}$ of functions in (classical) time $T = 2^n$ (with no error), or in quantum time $T = \mathsf{poly}(n)$ with error at most $1/2 - \Omega(2^{-n/2})$ via Fourier sampling.

Learning Theory

Quantum hardness of learning shallow classical circuits

no code implementations7 Mar 2019 Srinivasan Arunachalam, Alex B. Grilo, Aarthi Sundaram

The main technique in this result is to establish a connection between the quantum security of public-key cryptosystems and the learnability of a concept class that consists of decryption functions of the cryptosystem.

PAC learning

Quantum generalizations of the polynomial hierarchy with applications to QMA(2)

1 code implementation28 May 2018 Sevag Gharibian, Miklos Santha, Jamie Sikora, Aarthi Sundaram, Justin Yirka

The polynomial-time hierarchy ($\mathrm{PH}$) has proven to be a powerful tool for providing separations in computational complexity theory (modulo standard conjectures such as $\mathrm{PH}$ does not collapse).

Computational Complexity Quantum Physics 68Q12, 68Q15, 81P68, 03D15 F.1.3

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