# Quarantalks

Quantum Hall Effect Electrons subjected to the dual effect of a perpendicular magnetic and electric fields show a very curious behaviour known as the Hall Effect. When the applied magnetic field is sufficiently high, the Hall conductance becomes quantised in integer quantities of e^2/h. This quantisation is so precise that it is now used as a universal standard for resistance calibrations! Perhaps surprisingly, this phenomenon seems to have deep connections with electromagnetic gauge invariance and topology! Retrograde Analysis Most chess players are familiar with problems of the type “White to play and win in 3 moves”. However, here you will explore a very different genre of chess puzzles, retrograde analysis. Or perhaps, a more accurate description would be: utilising the rich set of chess rules to build interesting logic puzzles Minkowski Sums What are closed convex sets? How do curves and width correlate? What are these to do with Minkowski sums? How does the Barbier theorem unfold the beauty of convex sets? Optical and Ion Trap Qubits The theoretical aspects of qubit preparation, readout, single and double qubit gates in both optical and ion-trapped QCs Superconducting Qubits and Topological Quantum Computing A journey through a promising platform for quantum computing to find out what makes superconducting qubits one of the most successful architectures so far, with giants like Google and IBM racing to outperform each other! Learn about the different types of superconducting qubits and the implementation of control pulses. Dive into the exotic world of topological quantum computing, which promises a robust and fault-tolerant approach to implementing a QC Spin Qubits, NV Centres and NMR Qubits What nitrogen vacancy centres in diamonds? What is NMR quantum computing? How is a qubit represented and what are quantum gates? How do you fabricate a spin qubit using silicon architecture? Introduction to Quantum Computing Are our laptops or those gigantic supercomputers like to one in Oakridge National Lab, which consume electricity at a rate enough to power at least 260,000 laptops not enough for us? If yes, why? If no, why? If both, why? What gives the quantum computer an edge over the supercomputers or any ‘classical’ computer? What can a QC be made of? Why don’t I have one yet? In a lecture in the year 1981, Richard Feynman had said, “Nature isn’t classical, dammit, and if you want to make a simulation of nature, you’d better make it quantum mechanical, and by golly it’s a wonderful problem, because it doesn’t look so easy.”