Challenges and opportunities in quantum machine learning

M Cerezo, G Verdon, HY Huang, L Cincio… - Nature computational …, 2022 - nature.com
At the intersection of machine learning and quantum computing, quantum machine learning
has the potential of accelerating data analysis, especially for quantum data, with …

Fisher information in noisy intermediate-scale quantum applications

JJ Meyer - Quantum, 2021 - quantum-journal.org
The recent advent of noisy intermediate-scale quantum devices, especially near-term
quantum computers, has sparked extensive research efforts concerned with their possible …

Noise-induced barren plateaus in variational quantum algorithms

S Wang, E Fontana, M Cerezo, K Sharma… - Nature …, 2021 - nature.com
Abstract Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on
Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise …

Solving nonlinear differential equations with differentiable quantum circuits

O Kyriienko, AE Paine, VE Elfving - Physical Review A, 2021 - APS
We propose a quantum algorithm to solve systems of nonlinear differential equations. Using
a quantum feature map encoding, we define functions as expectation values of parametrized …

Local, expressive, quantum-number-preserving VQE ansätze for fermionic systems

GLR Anselmetti, D Wierichs, C Gogolin… - New Journal of …, 2021 - iopscience.iop.org
We propose VQE circuit fabrics with advantageous properties for the simulation of strongly
correlated ground and excited states of molecules and materials under the Jordan–Wigner …

Can error mitigation improve trainability of noisy variational quantum algorithms?

S Wang, P Czarnik, A Arrasmith, M Cerezo… - Quantum, 2024 - quantum-journal.org
Abstract Variational Quantum Algorithms (VQAs) are often viewed as the best hope for near-
term quantum advantage. However, recent studies have shown that noise can severely limit …

Capacity and quantum geometry of parametrized quantum circuits

T Haug, K Bharti, MS Kim - PRX Quantum, 2021 - APS
To harness the potential of noisy intermediate-scale quantum devices, it is paramount to find
the best type of circuits to run hybrid quantum-classical algorithms. Key candidates are …

Variational quantum algorithm for estimating the quantum Fisher information

JL Beckey, M Cerezo, A Sone, PJ Coles - Physical Review Research, 2022 - APS
The quantum Fisher information (QFI) quantifies the ultimate precision of estimating a
parameter from a quantum state and can be regarded as a reliability measure of a quantum …

A feasible approach for automatically differentiable unitary coupled-cluster on quantum computers

JS Kottmann, A Anand, A Aspuru-Guzik - Chemical science, 2021 - pubs.rsc.org
We develop computationally affordable and encoding independent gradient evaluation
procedures for unitary coupled-cluster type operators, applicable on quantum computers …