Sam Pallister
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View article: A comprehensive framework to simulate real-time chemical dynamics on a fault-tolerant quantum computer
A comprehensive framework to simulate real-time chemical dynamics on a fault-tolerant quantum computer Open
We present a comprehensive end-to-end framework for simulating the real-time dynamics of chemical systems on a fault-tolerant quantum computer, incorporating both electronic and nuclear quantum degrees of freedom. An all-particle simulatio…
View article: The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts
The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts Open
How well can quantum computers simulate classical dynamical systems? There is increasing effort in developing quantum algorithms to efficiently simulate dynamics beyond Hamiltonian simulation, but so far exact resource estimates are not kn…
View article: Quantum sampling algorithms for quantum state preparation and matrix block-encoding
Quantum sampling algorithms for quantum state preparation and matrix block-encoding Open
The problems of quantum state preparation and matrix block-encoding are ubiquitous in quantum computing: they are crucial parts of various quantum algorithms for the purpose for initial state preparation as well as loading problem relevant…
View article: The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts
The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts Open
How well can quantum computers simulate classical dynamical systems? There is increasing effort in developing quantum algorithms to efficiently simulate dynamics beyond Hamiltonian simulation, but so far exact resource estimates are not kn…
View article: Randomized adiabatic quantum linear solver algorithm with optimal complexity scaling and detailed running costs
Randomized adiabatic quantum linear solver algorithm with optimal complexity scaling and detailed running costs Open
Solving linear systems of equations is a fundamental problem with a wide variety of applications across many fields of science, and there is increasing effort to develop quantum linear solver algorithms. [Subaşi et al., Phys. Rev. Lett. (2…
View article: Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules
Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules Open
We estimate the resources required in the fusion-based quantum computing\nscheme to simulate electrolyte molecules in Li-ion batteries on a\nfault-tolerant, photonic quantum computer. We focus on the molecules that can\nprovide practical s…
View article: Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules
Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules Open
We estimate the resources required in the fusion-based quantum computing scheme to simulate electrolyte molecules in Li-ion batteries on a fault-tolerant, photonic quantum computer. We focus on the molecules that can provide practical solu…
View article: A Jordan-Wigner gadget that reduces T count by more than 6x for quantum chemistry applications
A Jordan-Wigner gadget that reduces T count by more than 6x for quantum chemistry applications Open
Quantum computers have the potential to be a profoundly transformative technology, particularly in the context of quantum chemistry. However, running a chemistry application that is demonstrably useful currently requires a prohibitive numb…
View article: Optimal Verification of Entangled States with Local Measurements
Optimal Verification of Entangled States with Local Measurements Open
Consider the task of verifying that a given quantum device, designed to produce a particular entangled state, does indeed produce that state. One natural approach would be to characterize the output state by quantum state tomography, or al…
View article: A blueprint for a simultaneous test of quantum mechanics and general relativity in a space-based quantum optics experiment
A blueprint for a simultaneous test of quantum mechanics and general relativity in a space-based quantum optics experiment Open
View article: Quantum algorithms and the finite element method
Quantum algorithms and the finite element method Open
The finite element method is used to approximately solve boundary value\nproblems for differential equations. The method discretises the parameter space\nand finds an approximate solution by solving a large system of linear\nequations. Her…
View article: Advances in quantum machine learning
Advances in quantum machine learning Open
Here we discuss advances in the field of quantum machine learning. The following document offers a hybrid discussion; both reviewing the field as it is currently, and suggesting directions for further research. We include both algorithms a…