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Practical block encodings of matrix polynomials that can also be trivially controlled
Martina Nibbi, Filippo Della Chiara, Yizhi Shen +2
Quantum circuits naturally implement unitary operations on input quantum states. However, non-unitary operations can also be implemented through block encodings, where additional a…
Quantum Computing and Visualization Research Challenges and Opportunities
E. Wes Bethel, Roel Van Beeumen, Talita Perciano
Quantum computing (QC) has experienced rapid growth in recent years with the advent of robust programming environments, readily accessible software simulators and cloud-based QC ha…
Quantum Krylov Algorithm for Szegö Quadrature
William Kirby, Yizhi Shen, Daan Camps +3
We present a quantum algorithm to evaluate matrix elements of functions of unitary operators. The method is based on calculating quadrature nodes and weights using data collected f…
Efficient LCU block encodings through Dicke states preparation
Filippo Della Chiara, Martina Nibbi, Yizhi Shen +1
With the Quantum Singular Value Transformation (QSVT) emerging as a unifying framework for diverse quantum speedups, the efficient construction of block encodings -- their fundamen…
From noisy observables to accurate ground state energies: a quantum classical signal subspace approach with denoising
Hardeep Bassi, Yizhi Shen, Harish S. Bhat +1
We propose a hybrid quantum-classical algorithm for ground state energy (GSE) estimation that remains robust to highly noisy data and exhibits low sensitivity to hyperparameter tun…
QCLAB: A Matlab Toolbox for Quantum Computing
Sophia Keip, Daan Camps, Roel Van Beeumen
We introduce QCLAB, an object-oriented MATLAB toolbox for constructing, representing, and simulating quantum circuits. Designed with an emphasis on numerical stability, efficiency,…