Arul Rhik Mazumder

2 papers indexed

arxivquant-phcs.LGq-fin.ST2026-07-10

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

Arul Rhik Mazumder, Shreyan Ronit Mazumder

We present, to our knowledge, the first adaptation of Pauli Correlation Encoding (PCE) to quantum topological data analysis, reformulating Betti number estimation as a depth-efficient variational optimization over a compressed qubit register. From a Takens embedding and Vietoris-…

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arxivquant-phcs.LG2026-07-10

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

Arul Rhik Mazumder

Sampling from discrete Markov random fields (MRFs) is a hard problem. We study amplitude-encoded i.i.d. sampling for small MRFs where $2^n$ target probabilities are precomputed classically. This removes quantum exponential speedup but allows a clean comparison against classical M…

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