142 citations · 379 across the 13 of their papers we have counts for
14 papers
Compiling the 2D Fermi-Hubbard ground-state energy estimation algorithm for active volume quantum architectures
Harriet Apel, Athena Caesura, Carys Harvey +11
As quantum computing enters the early fault-tolerant era, circuit compilation choices will increasingly depend on details of the underlying architecture rather than solely optimizi…
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…
Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory
C. F. Groß, S. Romiti, L. Funcke +4
At finite lattice spacing, Lagrangian and Hamiltonian predictions differ due to discretization effects. In the Hamiltonian limit, i.e. at vanishing temporal lattice spacing ,…
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-…
Flexible entangled state generation in linear optics
Brendan Pankovich, Alex Neville, Angus Kan +3
Fault-tolerant quantum computation can be achieved by creating constant-sized, entangled resource states and performing entangling measurements on subsets of their qubits. Linear o…
High photon-loss threshold quantum computing using GHZ-state measurements
Brendan Pankovich, Angus Kan, Kwok Ho Wan +5
We propose fault-tolerant architectures based on performing projective measurements in the Greenberger-Horne-Zeilinger (GHZ) basis on constant-sized, entangled resource states. We…
3+1D -Term on the Lattice from the Hamiltonian Perspective
Angus Kan, Lena Funcke, Stefan Kühn +5
Quantum and tensor network simulations have emerged as prominent sign-problem free approaches to lattice gauge theories. Unlike conventional Markov chain Monte Carlo methods, they…
Lattice Quantum Chromodynamics and Electrodynamics on a Universal Quantum Computer
Angus Kan, Yunseong Nam
It is widely anticipated that a large-scale quantum computer will offer an evermore accurate simulation of nature, opening the floodgates for exciting scientific breakthroughs and…
Investigating a (3+1)D Topological -Term in the Hamiltonian Formulation of Lattice Gauge Theories for Quantum and Classical Simulations
Angus Kan, Lena Funcke, Stefan Kühn +5
Quantum technologies offer the prospect to efficiently simulate sign-problem afflicted regimes in lattice field theory, such as the presence of topological terms, chemical potentia…
Towards simulating 2D effects in lattice gauge theories on a quantum computer
Danny Paulson, Luca Dellantonio, Jan F. Haase +8
Gauge theories are the most successful theories for describing nature at its fundamental level, but obtaining analytical or numerical solutions often remains a challenge. We propos…
A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
Jan F. Haase, Luca Dellantonio, Alessio Celi +4
Gauge theories establish the standard model of particle physics, and lattice gauge theory (LGT) calculations employing Markov Chain Monte Carlo (MCMC) methods have been pivotal in…