7 papers
More efficient Clifford+T synthesis for small-angle rotations and application to Trotterization
Marius Bothe, Christoph Sünderhauf, Michael J. Witham +2
Clifford+T synthesis of rotation gates is an important routine in fault-tolerant quantum compilation. While Clifford+T synthesis is scalable, it has a high overhead of tens of T ga…
Quantum simulation of nanographenes and Trotter error cancellation
Andreas Juul Bay-Smidt, Nina Glaser, Marcel D. Fabian +3
Fault-tolerant quantum computing is a promising tool for simulating molecules and materials, but frequently-considered applications require substantial resources, and the gap betwe…
A Monte Carlo approach to bound Trotter error
Nick S. Blunt, Aleksei V. Ivanov, Andreas Juul Bay-Smidt
Trotter product formulas are a natural and powerful approach to perform quantum simulation. However, the error analysis of product formulas is challenging, and their cost is often…
Fault-tolerant quantum simulation of generalized Hubbard models
Andreas Juul Bay-Smidt, Frederik Ravn Klausen, Christoph Sünderhauf +3
Quantum simulations of strongly interacting fermionic systems, such as those described by the Hubbard model, are promising candidates for useful early fault-tolerant quantum comput…
The Electronic Structure of the Hydrogen Molecule: A Tutorial Exercise in Classical and Quantum Computation
Vincent Graves, Christoph Sünderhauf, Nick S. Blunt +2
In this educational paper, we will discuss calculations on the hydrogen molecule both on classical and quantum computers. In the former case, we will discuss the calculation of mol…
A quantum computing approach to fixed-node Monte Carlo using classical shadows
Nick S. Blunt, Laura Caune, Javiera Quiroz-Fernandez
Quantum Monte Carlo (QMC) methods are powerful approaches for solving electronic structure problems. Although they often provide high-accuracy solutions, the precision of most QMC…