2 citations · 3 across the 14 of their papers we have counts for
18 papers
Area Theorems for Quantum Error Correction
Avijit Mandal, Mert Gökduman, Henry D. Pfister
The extrinsic information transfer (EXIT) and generalized EXIT (GEXIT) area theorems provide fundamental conservation laws that connect the rate of classical codes to the performan…
Efficient capacity-achieving entanglement generation with application to pure-loss Bosonic channels
Avijit Mandal, Christophe Piveteau, Henry D. Pfister +1
While the ultimate limits on the rate of quantum communication over noisy channels are well-established, very few efficient coding schemes achieving these limits are known. This co…
Quantum Message Passing Convergence and Vanishing Block-Error Probability for Random LDPC Codes
Avijit Mandal, Christophe Piveteau, Joseph M. Renes +1
Belief propagation with quantum messages (BPQM) is a quantum algorithm that decodes classical codes transmitted over classical--quantum channels. It realizes optimal decoding on tr…
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…
Neural Polar Decoders for Deletion Channels
Ziv Aharoni, Henry D. Pfister
This paper introduces a neural polar decoder (NPD) for deletion channels with a constant deletion rate. Existing polar decoders for deletion channels exhibit high computational com…
Neural Polar Decoders for DNA Data Storage
Ziv Aharoni, Henry D. Pfister
Synchronization errors, such as insertions and deletions, present a fundamental challenge in DNA-based data storage systems, arising from both synthesis and sequencing noise. These…
Code Rate Optimization via Neural Polar Decoders
Ziv Aharoni, Bashar Huleihel, Henry D Pfister +1
This paper proposes a method to optimize communication code rates via the application of neural polar decoders (NPDs). Employing this approach enables simultaneous optimization of…
From Bit to Block: Decoding on Erasure Channels
Henry D. Pfister, Oscar Sprumont, Gilles Zémor
We provide a general framework for bounding the block error threshold of a linear code over the erasure channel in terms of its bit error threshold. Our…
Reed-Muller Codes on CQ Channels via a New Correlation Bound for Quantum Observables
Avijit Mandal, Henry D. Pfister
The question of whether Reed--Muller (RM) codes achieve capacity on binary memoryless symmetric (BMS) channels has drawn attention since it was resolved positively for the binary e…
On the maximal L1 influence of real-valued boolean functions
Andrew J. Young, Henry D. Pfister
We show that any sequence of well-behaved (e.g. bounded and non-constant) real-valued functions of boolean variables admits a sequence of coordinates whose infl…
Quantum State Compression with Polar Codes
Jack Weinberg, Avijit Mandal, Henry D. Pfister
In the quantum compression scheme proposed by Schumacher, Alice compresses a message that Bob decompresses. In that approach, there is some probability of failure and, even when su…
Polar Codes for CQ Channels: Decoding via Belief-Propagation with Quantum Messages
Avijit Mandal, S. Brandsen, Henry D. Pfister
This paper considers the design and decoding of polar codes for general classical-quantum (CQ) channels. It focuses on decoding via belief-propagation with quantum messages (BPQM)…
Data-Driven Neural Polar Codes for Unknown Channels With and Without Memory
Ziv Aharoni, Bashar Huleihel, Henry D. Pfister +1
In this work, a novel data-driven methodology for designing polar codes for channels with and without memory is proposed. The methodology is suitable for the case where the channel…