7 papers
A depolarizing choir sings in Gaussian harmony
Rabsan Galib Ahmed, Sujeet Bhalerao, Sungjai Lee +4
We study the noise threshold for positive quantum capacity for the qubit depolarizing channel. We explore analytically the action of the qubit depolarizing channel on the symmetric…
High quantum local differential privacy breaks entanglement
Sujeet Bhalerao, Theshani Nuradha, Felix Leditzky
Differential privacy provides a mathematical framework for guaranteeing privacy for sensitive data. In quantum information processing, the interaction of privacy constraints with q…
Stiefel-Whitney classes for symmetric groups
Sujeet Bhalerao, Jyotirmoy Ganguly, Steven Spallone
We prove several results about Stiefel-Whitney Classes (SWCs) of representations of . First, each SWC is polynomial in the character values of at involutions.…
Privacy-Utility Tradeoffs in Quantum Information Processing
Theshani Nuradha, Sujeet Bhalerao, Felix Leditzky
When sensitive information is encoded in data, it is important to ensure the privacy of information when attempting to learn useful information from the data. There is a natural tr…
QEDBENCH: Quantifying the Alignment Gap in Automated Evaluation of University-Level Mathematical Proofs
Santiago Gonzalez, Alireza Amiri Bavandpour, Peter Ye +48
As Large Language Models (LLMs) saturate elementary benchmarks, the research frontier has shifted from generation to the reliability of automated evaluation. We demonstrate that st…
Improving quantum communication rates with permutation-invariant codes
Sujeet Bhalerao, Felix Leditzky
In this work we improve the quantum communication rates of various quantum channels of interest using permutation-invariant quantum codes. We focus in particular on parametrized fa…
Stiefel-Whitney Classes Of Representations Of Dihedral Groups
Sujeet Bhalerao, Rohit Joshi, Neha Malik
We compute the Stiefel-Whitney Classes for representations of dihedral groups in terms of character values of order two elements. We also provide criteria to identify represe…