Noisy intermediate-scale quantum simulation of the one-dimensional wave equation

L Wright, C Mc Keever, JT First, R Johnston, J Tillay… - Physical Review …, 2024 - APS
We design and implement quantum circuits for the simulation of the one-dimensional wave
equation on the Quantinuum H1-1 quantum computer. The circuit depth of our approach …

Statistical phase estimation and error mitigation on a superconducting quantum processor

NS Blunt, L Caune, R Izsák, ET Campbell, N Holzmann - PRX Quantum, 2023 - APS
Quantum phase estimation (QPE) is a key quantum algorithm, which has been widely
studied as a method to perform chemistry and solid-state calculations on future fault-tolerant …

Single-shot quantum signal processing interferometry

J Sinanan-Singh, GL Mintzer, IL Chuang, Y Liu - Quantum, 2024 - quantum-journal.org
Quantum systems of infinite dimension, such as bosonic oscillators, provide vast resources
for quantum sensing. Yet, a general theory on how to manipulate such bosonic modes for …

Toward mixed analog-digital quantum signal processing: Quantum ad/da conversion and the fourier transform

Y Liu, JM Martyn, J Sinanan-Singh, KC Smith… - arxiv preprint arxiv …, 2024 - arxiv.org
Signal processing stands as a pillar of classical computation and modern information
technology, applicable to both analog and digital signals. Recently, advancements in …

A Modular Engine for Quantum Monte Carlo Integration

IY Akhalwaya, A Connolly, R Guichard… - arxiv preprint arxiv …, 2023 - arxiv.org
We present the Quantum Monte Carlo Integration (QMCI) engine developed by Quantinuum.
It is a quantum computational tool for evaluating multi-dimensional integrals that arise in …

Hamiltonian dynamics on digital quantum computers without discretization error

E Granet, H Dreyer - npj Quantum Information, 2024 - nature.com
We introduce an algorithm to compute expectation values of time-evolved observables on
digital quantum computers that requires only bounded average circuit depth to reach …

Parallel quantum signal processing via polynomial factorization

JM Martyn, ZM Rossi, KZ Cheng, Y Liu… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum signal processing (QSP) is a methodology for constructing polynomial
transformations of a linear operator encoded in a unitary. Applied to an encoding of a state …

Compact and classically preprocessed data-loading quantum circuit as a quantum random access memory

B Duan, CY Hsieh - Physical Review A, 2024 - APS
Quantum random access memory (QRAM) is an essential ingredient for many quantum
algorithms, such as quantum machine learning models. The quantum resources (qubit …

Calculating the many-body density of states on a digital quantum computer

A Summer, C Chiaracane, MT Mitchison, J Goold - Physical Review Research, 2024 - APS
Quantum statistical mechanics allows us to extract thermodynamic information from a
microscopic description of a many-body system. A key step is the calculation of the density of …

Block encoding of matrix product operators

M Nibbi, CB Mendl - Physical Review A, 2024 - APS
Quantum signal processing combined with quantum eigenvalue transformation has recently
emerged as a unifying framework for several quantum algorithms. In its standard form, it …