Hamiltonian simulation of lattice gauge theories (LGTs) offers novel avenues for studying scattering processes in gauge theories. With the advent of quantum computers, it has become a reality. We present a digital quantum algorithm for simulating scattering in a 1+1D Z2 LGT on quantum hardware. The algorithm begins by preparing an initial scattering state composed of multiple well-separated...
This talk is not about quantum computing, nor physics: it’s about software tools that generate code from the maths. I want to show you some examples of what is possible. The big idea is to capture an abstract model of the computation that makes hard optimisations easy. My aim is to seed conversations about how to do this for the applications at this workshop.
While existing quantum hardware resources have limited availability and reliability, there is a growing demand for exploring and verifying quantum algorithms. Efficient classical simulators for high-performance quantum simulation are critical to meeting this demand. However, due to the vastly varied characteristics of classical hardware, implementing hardware-specific optimizations for...
The motivation for studying non-Hermitian systems and the role of {PT}-symmetry is discussed. We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians, with applications to quantum phase transitions. We use a recently proposed variational algorithm.
I will present our recent work on developing a scalable quantum simulator prototype using the open-source QuEST toolkit. We tackle two major scalability challenges: increasing the number of qubits in simulations and enhancing simulation speed. Initially focusing on optimization, we refactored QuEST’s core data structure to improve cache locality and multithreaded performance on single-node,...
In this talk, I will provide a brief introduction to quantum error correction and mitigation, emphasising their requirements and applicability in quantum simulation. I will then discuss the interplay between these techniques in the emerging early fault-tolerant era, highlighting how quantum error mitigation can be effectively applied to sampling-based algorithms such as quantum phase...
Gauge theories are fundamental to the Standard Model of particle physics, and their non-perturbative aspects have traditionally been studied through classical simulations of a theory formulated on a space-time lattice. However, these simulations are often computationally expensive, and many observables remain entirely inaccessible. Quantum simulators present an exciting alternative, where...
Supersymmetric models propose a symmetry linking bosons and fermions, but the infamous sign problem obstructs lattice studies of non-perturbative aspects like spontaneous supersymmetry breaking and real-time evolution, a limitation absent in quantum computing.
The lattice supersymmetric quantum mechanics model provides a valuable testbed for exploring key challenges in quantum computing,...
Simulating lattice field theories on quantum hardware presents significant challenges, particularly in state preparation and the efficient representation of mixed degrees of freedom. In this talk, I will discuss how quantum optimal control techniques can be used to mitigate barren plateaus in standard gate-based state preparation, enabling more efficient initialization of quantum states...
In this talk, I will present a framework for simulating the real-time dynamics of quantum field theories (QFTs) using continuous-variable quantum computing (CVQC). Focusing on (1+1)-dimensional phi4 scalar field theory, the approach employs the Hamiltonian formalism to map the theory onto a spatial lattice, with fields represented as quantum harmonic oscillators. Measurement-based quantum...
We present a status report of our work on developing algorithms to use circuit based quantum computers to solve Quadratic Unconstrained Binary Optimization (QUBO) problems. The QUBO problems are from two practical use cases. The first example is the optimal placement of wind turbines within a windfarm to maximize the power production (arXiv:2312.13123). The second QUBO problem we investigated...
I provide an overview of quantum machine learning and its possible applications to experimental particle physics analysis tasks, highlighting work done by my research group. I cover reconstruction, anomaly detection, image processing, kernel methods and geometric learning.