11 papers
Affine Filtering Measurements and Their Applications to Quantum Decoding
Avijit Mandal, Noah Shutty, Henry D. Pfister +1
Unambiguous state discrimination (USD) measurements are attractive because outcomes are either marked as conclusive (i.e., error free) or inconclusive (i.e., erased). We study affi…
Conservation Laws for Diffusion Models
Ziv Aharoni, Henry D. Pfister
While autoregressive models optimize the exact data likelihood via the chain rule, diffusion models are typically trained with denoising objectives. We develop conservation laws ba…
Towards Scalable Quaternary Message-Passing Decoding for Quantum Error Correction
Boqing Zhang, Henry D. Pfister, Hanwen Yao +1
The scalability and interpretability of message-passing (MP) decoding, such as (quaternary) Belief Propagation, remain open challenges in quantum error correction. Even for surface…
Quantum Message Passing for Factor Graphs over Finite Abelian Groups
Avijit Mandal, Henry D. Pfister
We develop a quantum message-passing framework for factor graphs over finite abelian groups. Our starting point is the task of discriminating between a collection of quantum states…
Belief Propagation with Quantum Messages for Symmetric Q-ary Pure-State Channels
Avijit Mandal, Henry D. Pfister
Belief propagation with quantum messages (BPQM) provides a low-complexity alternative to collective measurements for communication over classical--quantum channels. Prior BPQM cons…
A Study of Neural Polar Decoders for Communication
Rom Hirsch, Ziv Aharoni, Henry D. Pfister +1
In this paper, we adapt and analyze Neural Polar Decoders (NPDs) for end-to-end communication systems. While prior work demonstrated the effectiveness of NPDs on synthetic channels…