Instead of brute-force miniaturisation of basic electronic components, quantum computation utilises entirely new design architecture and promises to solve problems that are intractable on conventional computers. It offers the prospect of harnessing nature at a much deeper level than ever before, as well as a wealth of new possibilities for communication and data processing.
The quantum dynamics and computation group conducts research in the areas of quantum dynamics, quantum information processing, and quantum computation. In addition to using advanced mathematical methods and numerical techniques to model the dynamics of quantum systems and to investigate quantum algorithms, the group also has extensive HPC and computer algebra expertise to solve a wide range of science and engineering problems.
Completed Honours Theses: (1) Tania Loke “Comparing classical and quantum PageRanks”, (2) Georgina Carson "Entanglement dynamics of two-particle quantum Walks”, (3) Ben Luo "Continuous-time quantum walks with time-dependent Hamiltonians"
Completed PhD Theses: (1) Jeremy P. Rodriguez “Quantum walk via open systems”, (2) Anuradha C. Mahasinghe “A Mathematical Study of Quantum Walk-Based Applications”
Published Journal Papers: (1) J. A. Izaac and J. B. Wang, “pyCTQW: A continuous-time quantum walk simulator on distributed memory computers”, Computer Physics Communications, 186, 81-92 (2015), (2) G. R. Carson, T. Loke, J. B. Wang, “Entanglement dynamics of two-particle quantum walks”, Quantum Information Processing, 14, 3193-3210 (2015), (3) J. P. Rodriguez, Z. J. Li and J. B. Wang, “Discord and entanglement of two-particle quantum walk on cyclic graphs”, Quantum Information Processing, 14, 119:1-13 (2015), (4) A. Mahasinghe, J. A. Izaac, J. B. Wang, and J. K. Wijerathna, “Phase-modified CTQW unable to distinguish strongly regular graphs efficiently ”, Journal of Physics A, 48, 265301:1-13 (2015), (5) T. Loke and J. B. Wang, "OptQC v1.3: An (updated) optimised parallel quantum compiler”, Computer Physics Communications (2015), (6) Z. J. Li and J B Wang, "An analytical study of quantum walk through glued-tree graphs”, Journal of Physics A, 48, 355301:1-15 (2015), (7) B. L. Douglas, S. James Gates, B. L. Segler, and J. B. Wang, "Automorphism Properties and Classification of Adinkras”, Advances in Mathematical Physics, 2015, 584542:1-18 (2015), (8) Z. J. Li and J. B. Wang, "Single-point position and transition defects in continuous time quantum walks”, Scientific Reports, 5, 13585:1-11 (2015)
Submitted Journal Papers: (1) Qiang, Loke, Montanaro, Aungskunsiri, Zhou, O’Brien, Wang, Matthews, "Efficient Quantum Walk on a Quantum Processor”, submitted to Nature Communications (2015), (2) Loke and Wang, "Efficient quantum circuits for continuous-time quantum walks on composite graphs”, submitted to Quantum Information and Computation (2015), (3) Mahasinghe and Wang, "Efficient quantum circuits for Toeplitz and Hankel matrices”, submitted to Journal of Physics A (2015), (4) Loke, Tang, Rodriguez, Small and Wang, "Comparing classical and quantum PageRanks”, submitted to Quantum Information Processing (2015), (5) Zhou, Loke, Izaac and Wang, "Quantum Fourier Transform in Computational Basis", submitted to Quantum Information and Computation (2015)
Prof Paul Baird from Université de Brest giving a talk on "An elementary model universe based on combinatorial structure”
Tania Loke presenting her work on “Comparing classical and quantum PageRanks”, Georgina Carson on "Entanglement dynamics of two-particle quantum Walks”, and Ben Luo on "Continuous-time quantum walks with time-dependent Hamiltonians"
Lewis Howard giving an informal talk on Hamiltonian decomposition using graph colouring.
Sam Marsh giving an introductory talk on ALGORITHMS.
Prof Michael Small giving an informal talk on network analysis and applications.
Lyle Noakes gave an informal talk on Support Vector Machine Learning and geometry of time series.
Tania Loke and Jingwei Tang discussing their results on network analysis based on discrete and continuous time quantum walks.
Thomas Loke and Josh Izaac presenting their research findings about quantum walks on composite graphs.
Jingbo giving an introductory talk on quantum computation and quantum walks at Curtin University.
Thomas Loke giving a brief talk on his recent trip to Lindau, meeting with 65 Nobel Laureates. Sisi Zhou presenting her work on the design of several efficient quantum circuits.
Jingbo giving a talk in School of Mathematics titled "Quantum walk on graphs, unitary operation, Hamiltonian simulation, and efficient quantum circuits".
Yichun Li from Zhejiang university gave an introductory talk on machine learning, including supervised (classification) and unsupervised (clustering, matrix factorization) learning.
Jingbo giving a talk on Physical Implementation of Quantum Walks, in particular with exponentially efficient quantum circuits.
Group discussion on research directions; Xiaowei Duan, Kaixiang Wang, Zexi Niu, Yaguang Li, Wenbin Fu presented their solutions to Schrodinger's equation.
Bruce Hartley leading a discussion on Physics vs. Philosophy.
Georgina talking about her work on entanglement dynamics of discrete-time quantum walk on degree-regular and degree-irregular graphs.
Josh presenting his work done jointly with Anu on phase-modified continous-time qauntum walks on the graph isomorphism problem.
Michael Swaddle will give a talk on the Magnus expansion and its application in solving the geodesics for optimal quantum circuits.
Group discussion on research directions in 2015 and beyond.
Gareth presents his studies on Ito calculus and its application to classical stochastic process, aiming to extend later to quantum stochastic processes.
Thomas talks about efficient quantum circuit design, in particular for discrete- and continuous-time quantum walks.
Yuhui giving an informal presentation on "Circulant Matrices and Their Application to Vibration Analysis".
Group discussion on efficient quantum circuits for continuous-time quantum walks.
Josh presenting on "Continuous-time quantum walks and percolation".
Anu will lead discussions on efficient quantum circuits.
Tania talks about "Walking with Szegedy" and Jeremy on "Quantum walkers interacting with an open environment", followed by informal and casual discussions.
Anahita Haghighat giving a presentation on "A Geometric Perspective on Quantum Computation", followed by discussions on classical and quantum probability led by Prof Nozer Singpurwalla.
Visiting other universities ... Josh, Michael and Tania (Okinawa Institute of Science and Technology, Japan); Chris, Jacob (USTC, China); Nick, Haydn, Xin-Zheng (Nanjing, China); Julian, Blake (Institute for Molecular Science, Okazaki, Japan); Daniel, Michael (HPC cluster competition, US); Jingbo (USTC, UESTC, SW Jiaotong U, Shanxi U, Hong Kong Polytechnic U)
Group discussions on open quantum systems, led by Jeremy Rodriguez.
Xiaogang Qiang from the University of Bristol giving a talk on quantum walks and computation using photonic waveguides.
Joint meeting with Acoustics & Vibration group and Geophysics group to discuss inversion; linear and nonlinear response to perturbation; scalar, vectorial and tensorial fields; bandwidth limited signal processing and super oscillations.
Prof Kempf giving a tutorial on "Relativistic Quantum Information".
Jeremy Rodriguez discussing his PhD work on "Quantum Walking via an Open System".
Joint discussion with Gravitational Wave group, led by Achim on "Quantum Zeno effect and possible applications in metrology".
Prof Achim Kempf from the University of Waterloo giving giving a talk entitled "From information theory to spacetime and cosmology".
Group discussions on quantum information, decoherence, and quantum noise.
Jacob Timmerman talking on "Error Analysis of Quantum Walk Based Algorithms".
Michael Swaddle giving a presentation on "Lie groups, geodesics and quantum circuits".
Christopher Murphy presenting on "Entanglement dynamics of interacting quantum walkers".
Daniel George giving a presentation on "Quantum Walking and Protein Folding Kinetics"
Group discussions on "Discrete- and continuous-time quantum walks on directed graphs".
Prof. Jeremy O'Brien from the University of Bristol giving a seminar on "The case for photonic quantum computing".
One-day Masterclass given by Prof Achim Kempf on Quantum Noise.
Prof Achim Kempf from the University of Waterloo giving a talk on "How does one explore the deepest laws of nature?"
Dylan Jayatilaka giving an informal talk on "Circulant orbitals for atoms and molecules", which may be tied in with what Thomas did in optimal quantum circuit design.
Daniel giving a presentation on "Protein Folding Dynamics: Classical or Quantum Walks".
Jingbo briefly reporting on her recent trip to Cambridge and also leading a discussion on research projects to be offered in 2015.
Chris Murphy presenting his work on quantum walk dynamics and possible chaotic behaviour. Michael Swaddle continuing his discussion on quantum circuit design.
Michael presenting his work on "quantum circuit design through differential geometry and Lie group theory". Jacob discussing his work on "physical implementation of quantum walks and error analysis".
Ben and Lauchlan presented their work on "Fibonacci discrete-time quantum walk" done during their recent research placement in Japan. Peter Falloon shared his working experience in the financial industry after PhD in physics.
Informal group discussion on S-K theorem, its extension to SU(n), and a new proposal on quantum circuit design.
Thomas discussing a general approach to the construction of quantum circuits to implement continuous-time quantum walks.
Informal group discussion on various honours projects.
Anu giving an informal tutorial on Lie groups and Lie algebra.
Informal group discussion on k-equivalent graphs and GI testing by quantum walks with Brendan Douglas.
Informal discussion session on k-equivalent graphs and GI testing by quantum walks with Cheryl, John and Lyle in Maths Rm2.19.
This week, instead of the normal group meeting, we will have an informal discussion session on the Solovay-Kitaev theorem in Lyle's office (maths Rm G.05). Anu will lead the discussion, explaining what the Solovay-Kitaev theorem is for SU(2) and the proof.
Michael Swaddle presenting his work on quantum computation and Riemannian geometry, which follows Lyle's earlier talks on this topic.
Thomas Loke presenting his HPC software package OptQC, an optimised parallel quantum compiler, which maps any given unitary operation into an optimised quantum circuit consisting of a sequential set of elementary quantum gates. He will also discuss a case-by-case design approach to exponentially efficient quantum circuits.
Michael Swaddle on "Numerical Investigation of Geodesics for Optimal Quantum Circuits"; Julian Rodino on "Graph isomorphism testing by single-particle continuous-time quantum walks"; Christopher Murphy on "Entanglement dynamics of interacting quantum walkers"; Jacob Timmerman on "Multiple Operation Integrated Photonic Chip"; Daniel George on "Protein Folding and Quantum Walks"
Prof Jeremy O'Brien from Bristol University giving a seminar on "Photonic Quantum Technologies".
Josh Izaac presenting his HPC software package pyCTQW, which provides accurate computation of matrix exponentials, often required to simulate physical, chemical, biological etc processes.
Prof Klaus Bartschat from Drake University discussing also the computation of matrix exponentials but with time-varying Hamiltonians.
Dr Laura Boykin from School of Chemistry and Biochemistry will tell us about her research on HPC Bayesian phylogenetic analyses.
Jeremy discussing his recent work on quantum walks along directed graphs, which involves the use of density matrix super operators to describe decoherence and dissipation.
Daniel continuing his presentation on biochemistry, protein folding in particular, and a tentative link between biology and quantum physics.
W/Prof Lyle Noakes from School of Mathematics and Statistics continuing his tutorial on Differential and Riemannian Geometry.
W/Prof Lyle Noakes from School of Mathematics and Statistics presenting an introduction on Riemannian Geometry and its potential application in quantum computation.
Daniel George continuing his presentation on biology and biochemistry, as well as a tentative link between biology and quantum physics. Josh Izaac continuing his talk on complexity theory and photonic Boson sampling.
Daniel George giving an overview tutorial on biology and biochemistry.
Thomas Loke and Josh Izaac giving a more detailed report on their recent trips to Japan and Israel.