Heisenberg-limited adaptive gradient estimation for multiple observables

K Wada, N Yamamoto, N Yoshioka - arxiv preprint arxiv:2406.03306, 2024 - arxiv.org
In quantum mechanics, measuring the expectation value of a general observable has an
inherent statistical uncertainty that is quantified by variance or mean squared error of …

The Hitchhiker's Guide to QSP pre-processing

SE Skelton - arxiv preprint arxiv:2501.05977, 2025 - arxiv.org
Quantum signal processing (QSP) relies on a historically costly pre-processing step," QSP-
processing/phase-factor finding." QSP-processing is now a developed topic within quantum …

Quantum Algorithm to Prepare Quasi-Stationary States

SJ Garratt, S Choi - arxiv preprint arxiv:2407.07893, 2024 - arxiv.org
Quantum dynamics can be analyzed via the structure of energy eigenstates. However, in the
many-body setting, preparing eigenstates associated with finite temperatures requires time …

Quantum signal processing without angle finding

A Alase - arxiv preprint arxiv:2501.07002, 2025 - arxiv.org
Quantum signal processing (QSP) has emerged as a unifying subroutine in quantum
algorithms. In QSP, we are given a function $ f $ and a unitary black-box $ U $, and the goal …

Quantum Signal Processing Based Grover's Adaptative Search Oracle for High Order Unconstrained Binary Optimization Problems

R OLLIVE, S LOUISE - 2024 IEEE International Conference on …, 2024 - ieeexplore.ieee.org
Grover's Adaptative Search (GAS) algorithm combined with the High Order Binary
Optimization (HOBO) oracle proposal is currently the Fault Tolerant Quantum Computer …