5 papers
Unitary Schur Sampling of Qudits via Random SWAP Tests: Hunt for Antisymmetry
Shrigyan Brahmachari, David Jakab, Henry D. Pfister +1
Schur sampling is a fundamental primitive for extracting permutation-invariant information from many-body quantum systems and has broad applications in quantum information science.…
Reed--Muller Codes Achieve the Symmetric Capacity on Finite-State Channels
Henry D. Pfister, Navin Kashyap, Jean-Francois Chamberland +1
We study reliable communication over finite-state channels (FSCs) using Reed--Muller (RM) codes. Building on recent symmetry-based analyses for memoryless channels, we show that a…
Optimal Qubit Purification and Unitary Schur Sampling via Random SWAP Tests
Shrigyan Brahmachari, Austin Hulse, Henry D. Pfister +1
The goal of qubit purification is to combine multiple noisy copies of an unknown pure quantum state to obtain one or more copies that are closer to the pure state. We show that a s…
From Symmetry to Capacity: Nested Codes on Binary Memoryless Symmetric Channels
Henry D. Pfister, Galen Reeves
The past decade has seen notable advances in our understanding of structured error-correcting codes, particularly binary Reed-Muller (RM) codes. While initial breakthroughs were fo…
Information-Theoretic Proofs for Diffusion Sampling
Galen Reeves, Henry D. Pfister
This paper provides an elementary, self-contained analysis of diffusion-based sampling methods for generative modeling. In contrast to existing approaches that rely on continuous-t…