2023年10月20日 · 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 …

2022年10月12日 · 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.

2024年8月29日 · In this work, we demonstrate that QSP-based techniques, such as Quantum Singular Value Transformation (QSVT) and Quantum Eigenvalue Transformation for Unitary Matrices (QETU), can themselves be efficiently utilized for BE implementation.

based on the Quantum Eigenvalue Transformation for Unitary Matrices (QETU), apply this algo-rithm to a lattice formulation of U(1) gauge theory in 2+1D, as well as propose a novel application of QETU, a highly efficient preparation of Gaussian distributions.

2024年7月23日 · We present several improvements to the recently developed ground-state preparation algorithm based on the quantum eigenvalue transformation for unitary matrices (QETU), apply this algorithm to a lattice formulation of U (1) gauge theory in dimensions, as well as propose an alternative application of QETU, a highly efficient preparation of Gaussi...

We develop a tool called quantum eigenvalue transforma-tion 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.

QETU Algorithm is based on a symmetric Quantum Signal Processing circuit, where the target polynomial is an even step function. After applying this circuit to a given input state; the overlap of the resulting state to the energy eigenstates, whose eigenenergies correspond to "a" values greater than the cut-off value of the step function, are ...

qet_u.py: A python package for implementing quantum eigenvalue transformation of unitary matrices with real polynomials (QET-U). test_qet_u.py: Test code for the package. qsp_phase_matlab.py: A python interface for invoking the QSPPACK (a Matlab toolbox) for solving quantum signal processing (QSP) phase factors.

We present several improvements to the recently developed ground state preparation algorithm based on the Quantum Eigenvalue Transformation for Unitary Matrices (QETU), apply this algorithm to a lattice formulation of U(1) gauge theory in 2+1D, as well as propose a novel application of QETU, a highly efficient preparation of Gaussian distributions.

2022年10月12日 · 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.