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A. Mazumder

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#machine learning Preprint Jul 2026

An End-to-End Hybrid Quantum--Classical Sampling Workflow for Discrete Markov Random Fields: A Reproducible Case Study

Sampling from discrete Markov random fields (MRFs) is a hard problem and amplitude-encoded i.i.d. sampling for small MRFs where $2^n$ target probabilities are precomputed classically is studied to allow a clean comparison against classical MCMC based on independent circuit samples.

A. Mazumder · 0 citations
Jul 2026

Depth-Efficient Quantum Topological Data Analysis for Regime-Specific Detection of Financial Stress

The first adaptation of Pauli Correlation Encoding to quantum topological data analysis is presented, reformulating Betti number estimation as a depth-efficient variational optimization over a compressed qubit register, reformulating Betti number estimation as a depth-efficient variational optimization over a compresse...

A. Mazumder, S. Mazumder · 0 citations
Preprint Aug 2026

Resource-efficient quantum eigenvalue transform with commutator scaling

A protocol for approximating the measurement distributions of quantum states, extending beyond standard observable estimation is introduced, and tightened gate complexity bounds for practically relevant systems, including those with k-local interactions, long-tailed matrix ensembles, and conserved quantities are provid...

Arul Rhik Mazumder, James D. Watson, Samson Wang · 0 citations

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