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cs.CE2026
Quantum Block Encodings for Periodic Two-Phase Finite Element Operators: 2D Poisson and 2D Elasticity
Krishnan Suresh
Quantum algorithms require embedding linear operators into unitaries using block encodings. The costs associated with these block encodings determine whether a quantum speedup is a…
cs.ET2026
PyEncode: An Open-Source Library for Structured Quantum State Preparation
Krishnan Suresh, Sanjay Suresh
Quantum algorithms require encoding classical vectors as quantum states, a step known as amplitude encoding. General-purpose routines produce circuits with $\bigO{2^m}$ gates for v…
quant-ph2026
Spectrally Corrected Polynomial Approximation for Quantum Singular Value Transformation
Krishnan Suresh
Quantum Singular Value Transformation (QSVT) provides a unified framework for applying polynomial functions to the singular values of a block-encoded matrix. QSVT prepares a state…