5 papers · 1 filter
Fault-tolerant quantum algorithms for simulating atomic nuclei
James Benstead, Michael Garn, Neil Gaspar +5
To maximize the value of fault-tolerant quantum computers, it is essential to develop concrete applications beyond well-established domains such as chemistry and condensed-matter p…
Optimized quantum algorithms for simulating the Schwinger effect
Angus Kan, Jessica Lemieux, Olga Okrut +1
The Schwinger model, which describes lattice quantum electrodynamics in space-time dimensions, provides a valuable framework to investigate fundamental aspects of quantum fie…
Quantum resource estimates for computing binary elliptic curve discrete logarithms
Michael Garn, Angus Kan
We perform logical and physical resource estimation for computing binary elliptic curve discrete logarithms using Shor's algorithm on fault-tolerant quantum computers. We adopt a w…
Resource-optimized fault-tolerant simulation of the Fermi-Hubbard model and high-temperature superconductor models
Angus Kan, Benjamin Symons
Exploring low-cost applications is paramount to creating value in early fault-tolerant quantum computers. Here we optimize both gate and qubit counts of recent algorithms for simul…
Option pricing under stochastic volatility on a quantum computer
Guoming Wang, Angus Kan
We develop quantum algorithms for pricing Asian and barrier options under the Heston model, a popular stochastic volatility model, and estimate their costs, in terms of T-count, T-…