1 citations · 1 across the 9 of their papers we have counts for
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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…
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…
Optimization Using Locally-Quantum Decoders
Noah Shutty, Avijit Mandal, Seyoon Ragavan +8
It was pointed out in [JSW+25] that widely-studied optimization problems such as D-regular max-k-XORSAT can be reduced to decoding of LDPC codes, using quantum algorithms related t…
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…