Hamiltonian Time Evolution - Part 2

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In this lecture, I explain the Schrödinger Equation and the role of the Hamiltonian in describing the dynamics of quantum systems. I cover how Hamiltonian evolution relates to unitary gates, and how to simplify the solutions to the Schrödinger equation for the Hamiltonians of physical systems. I also give an overview of the quantum Fourier transform and phase estimation algorithms, and explain how the efficiency of algorithms can be classified in terms of complexity.

Lecture: Hamiltonian Time Evolution - Part 2
Lecturer: Maria Violaris

Recommended Readings:


Nielsen and Chuang "Quantum Computation and Quantum Information" chapters:
2.2.2 Evolution
4.7 Simulation of quantum systems

#Qiskit #Quantumsimulation #QGSS22
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What is the name of this approximation at 15:48. What is the number of k's in the discrete sum? The number of k in this approximation is based on Heisenberg's indeterminacy? What book or publication does this approximation come from and how do I elect the a_k ?

calcifer
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I expected a lot from Qiskit's summer school lectures. Since their aim is to teach the GLOBAL audience, I thought they would maintain some standards. However, based on the last two lectures, it seems that there is no standard being maintained. The lecturer did not even prepare much for this and the previous lectures.

SharmaSRKChaitanyaYamijala