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20182021
most citedSolving nonlinear differential equations with differentiable quantum circuits

193 citations

Showing quant-phShow all

6 papers · 1 filter

quant-ph2021★ 11 cited

Quantum Model Learning Agent: characterisation of quantum systems through machine learning

Brian Flynn, Antonio Andreas Gentile, Nathan Wiebe +2

Accurate models of real quantum systems are important for investigating their behaviour, yet are difficult to distill empirically. Here, we report an algorithm -- the Quantum Model…

quant-ph2021★ 40 cited

The Impact of Hardware Specifications on Reaching Quantum Advantage in the Fault Tolerant Regime

Mark Webber, Vincent Elfving, Sebastian Weidt +1

We investigate how hardware specifications can impact the final run time and the required number of physical qubits to achieve a quantum advantage in the fault tolerant regime. Wit…

quant-ph2021★ 52 cited

Generalized quantum circuit differentiation rules

Oleksandr Kyriienko, Vincent E. Elfving

Variational quantum algorithms that are used for quantum machine learning rely on the ability to automatically differentiate parametrized quantum circuits with respect to underlyin…

quant-ph2020★ 193 cited

Solving nonlinear differential equations with differentiable quantum circuits

Oleksandr Kyriienko, Annie E. Paine, Vincent E. Elfving

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…

quant-ph2020★ 65 cited

Learning models of quantum systems from experiments

Antonio A. Gentile, Brian Flynn, Sebastian Knauer +6

An isolated system of interacting quantum particles is described by a Hamiltonian operator. Hamiltonian models underpin the study and analysis of physical and chemical processes th…

quant-ph2020★ 52 cited

Simulating quantum chemistry in the seniority-zero space on qubit-based quantum computers

Vincent E. Elfving, Marta Millaruelo, José A. Gámez +1

Accurate quantum chemistry simulations remain challenging on classical computers for problems of industrially relevant sizes and there is reason for hope that quantum computing may…