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QuEST Group Meeting 2023
Every Thursday, 12 noon (Google Meet)
Presenter: Ahmad Hazazi
Date: January 5, 2023
Title: Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole
Abstract: I will review a work done by Rodrigo Andrade e Silva and Ted Jacobson.
Here is the arxiv version: https://arxiv.org/abs/2011.04888
The paper is published in IOP : https://iopscience.iop.org/article/10.1088/1751-8121/abf961
Presenter: Hishamuddin Zainuddin
Date/Time: 19 January 2023
Title: Random Readings on Group Theory with Quantum Physics (Back to Basics)
Abstract: The talk will be on relationships between group theory, representation theory & spaces and quantum physics. It will touch upon the complex and ray nature of quantum states, complex projective spaces, relationships between SU(2) and SL(2) etc.
Main references:
1) William Goldman, Lecture notes on Lie groups and Lie algebras
2) David Gurarie, Symmetries and Laplacians, (Dover, 1992)
3) Anthony W. Knapp, Representation Theory of Semisimple Groups (Princeton Univ. Press, 1986)
4) J.C. Alexander, "Matrices, Eigenvalues and Complex Projective Space", Amer. Math. Monthly, Vol. 85 No. 9 (1978)727-733.
5) David Schroeren, "Symmetry Fundamentalism in Quantum Mechanics", Philos. Stud. Vol.178 (2021) 3995-4024.
Presenter: Choong Pak Shen
Date/Time: 9 February 2023
Title: SLOCC classification by Cayley hyperdeterminant
Abstract: In this presentation, I will briefly outline the SLOCC classification using Cayley hyperdeterminant (until Section III A in the reference).
Reference: https://arxiv.org/abs/quant-ph/0212146v1
Presenter: Nurisya Mohd Shah
Date/Time : 23 February 2023
Title : On the Lax representation
Abstract : We give an overview and example of Lax representation. We will highlight on what is called a Lax pair and how it is related to the well-known Heisenberg picture. Lax pair method also known to be importance in the nonlinear differential equations which are exactly integrable.
Speaker : Ahmad Aqwa Rosli
Date/Time: 11 May 2023/ 12.30 pm
Abstract : Pre-viva on Picture Process of Quantum Mechanics
Speaker: Choong PS
Date: 1 June 2023
Title: A kickstarter to quantum error correction
Abstract: A brief introduction to NISQ and some preliminary QEC.
Speaker: Choong PS
Date: 21 July 2023
Title: Stabilizer formalism
Abstract: A brief introduction stabilizer formalism.
Presenter: Hishamuddin Zainuddin
Date/Time: August 1, 2023, 12 noon
Title: Action Functionals and Symmetries
Presenter: Choong Pak Shen
Date/Time: August 8, 12pn
Title: Error syndrome and error correction
Presenter: Hishamuddin Zainuddin
Date/Time:August 22, 2023, 12 noon
Title: Action Functionals and Symmetries II
Presenter: Nurisya Mohd Shah
Date/Time:August 17, 12pm
Title: On geometric quantum complexity of bosonic oscillator systems - Euler-Arnold equation
Presenter: Choong Pak Shen
Date/Time:August 29, 12pm
Title: Introduction to toric codes
Presenter: Amsyar
Date/Time: September 13, 2023 (Wednesday); 12 noon
Title: Transformasi secara teori keadaan koheren kepada dua keadaan baharu: keadaan dengan bukti ciri-ciri tidak-klasik dan keadaan dengan kualiti-kualiti foton-tunggal lebih baik
Presenter: Farhana
Date/Time: October 4, 2023 / 12 noon
Title: On density functional theory
Presenter: Umair Halim
Date/Time: October 18, 2023 (Tuesday); 12.30 pm
Title: The Role of Quantum Potential in Generating Chaotic Bohmian Trajectory.
Abstract: Particle trajectories guided by the wave function are well-defined through Bohmian mechanics, which is a causal interpretation of quantum mechanics. Periodic and chaotic behaviours could be exhibited from the certain classical integrable systems that have been shown within this framework. Recently, several studies have shown that a Bohmian trajectory approaching closely to a nodal point makes a spiral around the point and becomes chaotic. In this work, using 2-dimensional commensurate harmonic oscillators, we explore the effects of the distance between the nodal point’s region and the initial positions on the dynamical behaviour of Bohmian trajectories. The result shows the system undergoes a transition to chaos after clearly having regular behaviour. At the onset of chaos, the quantum trajectories diverge from the regular orbit and move toward the centre region of nodal points. In addition, the system with an initial position near the region only needs a short amount of time to exhibit chaos compared to a more distant one. This phenomenon may be due to the abrupt change in quantum potential i.e., the potential which is absent in classical mechanics. The connection between chaos and quantum potential is proved using numerical computation of the Lyapunov exponent together with the plotting of quantum potential.
Presenter: Valentine
Date/Time: 1 November 2023; 12.00 noon
Title: A review on the group theoretic method in QEC
Presenter: Nurisya Mohd Shah
Date/Time: 6 December 2023; 12.00 noon
Title: Quantum complexity in bosonic oscillator
Abstract: This is a study on the paper entitled “Geometric quantum complexity of bosonic oscillator systems”. We try to go through some important calculations in the literature.
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