Phonon-Polaritons via the Cavity Born-Oppenheimer Approximation
Strong light-matter coupling in optical cavities can alter the dynamics of molecular and material systems resulting in polaritonic excitation spectra and modified reaction pathways. For strongly coupled photon modes close in energy to nuclear vibrations the Cavity Born Oppenheimer Approximation (CBOA) in the context of quantum-electrodynamical density functional theory (QEDFT) has been demonstrated to be an appropriate description of the coupled light-matter system.
Multidimensional Quantum Walks
While quantum walk frameworks make it easy to design quantum algorithms, as evidenced by their wide application across domains, the major drawback is that they can achieve at most a quadratic speedup over the best classical algorithm. In this work, we generalise the electric network framework – the most general of quantum walk frameworks, into a new framework that we call the multidimensional quantum walk framework, which no longer suffers from the aforementioned drawback, while still m
Will quantum interior point methods be practical? An end-to-end resource analysis for portfolio optimization incorporating improvements to state preparation
Despite much work on quantum algorithms, there are few examples of practically relevant computational tasks that are known to admit substantial quantum speedups for practical instance sizes after all hidden costs and caveats are considered. Portfolio optimization (PO) is a practically important problem that can be solved via Quantum Interior Point Methods (QIPMs) via a standard mapping to a Second-Order Cone Programs (SOCP). Preliminary numerical evidence in prior literature was consistent with an asymptotic quantum speedup. But will this solution be practical?
Learning properties of interacting fermionic systems with limited hardware
Interacting fermionic systems can model real world physical phenomenon directly. Many people are working on finding efficient and practical ways to determine properties of these quantum simulators. Specifically, estimating correlation functions, that reveal important properties such as coulomb-coulomb interaction strength and entanglement spreading, is a crucial goal. The well know classical shadows formalism allows one to find linear properties of a quantum state by reusing outcomes from simple basis measurements.
Geometry of Music Perception
Prevalent neuroscientific theories are combined with acoustic observations from various studies to create a consistent geometric model for music perception in order to rationalize, explain and predict psycho-acoustic phenomena. The space of all chords is shown to be a Whitney stratified space. Each stratum is a Riemannian manifold which naturally yields a geodesic distance across strata. The resulting metric is compatible with voice-leading satisfying the triangle inequality.
Inspiring Science with Music
Friday, April 28, 2023, 1:00 p.m. to 2:15 p.m.
This event is a special interdisciplinary science-music presentation-performance. It features quantum/mathematician-musicians improvising music freely on the following scientific contents in real time. The musicians add an artistic dimension to the speakers’ science. The event aims to bring people and ideas together, for a cool interdisciplinary experience and to spark creativity.
Optimization Problems in Quantum Machine Learning: when are variational algorithms trainable
The variational algorithm is a paradigm for designing quantum procedures implementable on noisy intermediate-scale quantum (NISQ) machines. It is viewed as a promising candidate for demonstrating practical quantum advantage.
In this dissertation, we look into the optimization aspect of the variational quantum algorithms as an attempt to answer when and why a variational quantum algorithm works. We mainly focus on two instantiations of the family of variational algorithms, the Variational Quantum Eigensolvers (VQEs) and the Quantum Neural Networks (QNNs).
Stabilizer codes: the continuous, the infinite, and the exotic
Traditional stabilizer codes operate over prime power local-dimensions. For instance, the 5-qubit code and 9-qubit code operate over local-dimension 2. In this presentation we discuss extending the stabilizer formalism using the local-dimension-invariant framework to import stabilizer codes from these standard local-dimensions to other cases.
Investigating the feasibility of a trapped atom interferometer with movable traps
Atom interferometers can be used to obtain information about accelerations and fields, whether this may be in the investigation of fundamental aspects of physics, such as measuring fundamental constants or testing gravity, or as part of a measurement device, such as an accelerometer [1,2,3]. Achieving adequate coherence times remains a priority, and this can be realized by holding the atoms in a trap as an alternative to increasing their free fall time [1].