3 citations · 3 across the 3 of their papers we have counts for
9 papers
Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations
Yizhi Shen, Niel Van Buggenhout, Daan Camps +2
Rational functions are exceptionally powerful tools in scientific computing, yet their abilities to advance quantum algorithms remain largely untapped. In this paper, we introduce…
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…
Efficient Measurement-Driven Eigenenergy Estimation with Classical Shadows
Yizhi Shen, Alex Buzali, Hong-Ye Hu +4
Quantum algorithms exploiting real-time evolution under a target Hamiltonian have demonstrated remarkable efficiency in extracting key spectral information. However, the broader po…
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…
Simple Diagonal State Designs with Reconfigurable Real-Time Circuits
Yizhi Shen, Katherine Klymko, Eran Rabani +4
Unitary designs are widely used in quantum computation, but in many practical settings it suffices to construct a diagonal state design generated with unitary gates diagonal in the…