16 citations · 19 across the 9 of their papers we have counts for
5 papers · 1 filter
Exact -counts of CCZ layers from an isotropy bound
Arul Rhik Mazumder
The -count is a dominant cost of fault-tolerant Clifford computation. We prove that a layer of disjoint CCZ gates, the diagonal core of a parallel Toffoli layer, needs e…
An End-to-End Hybrid Quantum-Classical Sampling Workflow for Discrete Markov Random Fields: A Reproducible Case Study
Arul Rhik Mazumder, Elias Towe
Sampling from discrete Markov random fields (MRFs) is a hard problem. We study amplitude-encoded i.i.d. sampling for small MRFs where target probabilities are precomputed cla…
Resource-efficient quantum eigenvalue transform with commutator scaling
Arul Rhik Mazumder, James D. Watson, Samson Wang
We develop quantum algorithms for estimating properties of general matrix functions of Hermitian matrices, with applications to phase estimation, Green's function evaluation, and e…
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-effici…
Benchmarking Zero-Setup Quantum Circuit Simulators
Arul Rhik Mazumder, Hovnatan Karapetyan, Mohammed Zuhair Mullath +3
Practitioners increasingly rely on hosted simulation environments, but their performance characteristics remain poorly documented. We present a systematic benchmarking study of GPU…