Oct 20, 2023 · We use QETU to prepare the ground state of a U(1) lattice gauge theory in 2 spatial dimensions, explore the dependence of computational resources on the desired precision and system parameters, and discuss the applicability of our …

The work presented in this project delivers an improved error resilience when extracting the eigenvalue information from the ground state prepared through the Quantum Eigenvalue Transformation of Unitary Matrices (QETU) Algorithm, presented by L. Lin et al. [1] Through our approach, we can estimate the eigenvalue up to any arbitary precision ...

Jul 23, 2024 · We use QETU to prepare the ground state of a U(1) lattice gauge theory in two spatial dimensions, explore the dependence of computational resources on the desired precision and system parameters, and discuss the applicability of our …

Oct 12, 2022 · We develop a tool called quantum eigenvalue transformation of unitary matrices with real polynomials (QETU), which uses a controlled Hamiltonian evolution as the input model, a single ancilla qubit, and no multiqubit control operations and is thus suitable for early fault-tolerant quantum devices.

Nov 27, 2024 · The quantum eigenvalue transformation of unitary matrices (QETU) algorithm offers a novel approach for ground state estimation by utilizing a controlled Hamiltonian time evolution operator, circumventing the resource-intensive block-encoding required by …

Both the QETU technique and the convex-optimization method can be useful in applications beyond ground-state preparation and energy estimation. The computational cost is primarily measured in terms of the query complexity, i.e., how many times we need to query U and U I in total, and we also analyze the additional one- and two-qubit gates ...

Jan 17, 2024 · Our method aims to tackle limitations introduced by a small spectral gap and high degeneracy of low energy states. It is based on an adaptive sequence of eigenspace filtering through Quantum Eigenvalue Transformation of Unitary …

We use QETU to prepare the ground state of a U(1) lattice gauge theory in 2 spatial dimensions, explore the dependence of computational resources on the desired precision and system parameters, and discuss the applicability of our results to general lattice gauge theories.

Contribute to qsppack/QETU development by creating an account on GitHub. qet_u.py: A python package for implementing quantum eigenvalue transformation of unitary matrices with real polynomials (QET-U).

Qetu the Evil Doer is a Bane Mummy. In life, Qetu is rumored to have been the vilest of strumpets, a dancer who darkened the Pharaoh's court with her presence and brought about the ruin of many good officials.