9/5 Tue
Chapter 4
4.1. quatum states
particle and waves
basic quantum system: a particle at discrete positions on a line; single particle spin system
state
complex amplitudes
superposition
normalized state
spin
Transition amplitudes: In quantum mechanics, the transition amplitude is a complex number that encodes the probability amplitude for a system to evolve from one state to another. Imagine you're flipping through radio stations. Each station you might land on can be thought of as a "state." Now, the transition amplitude tells you how likely it is for your radio to transition from one specific station to another as you flip through the channels. It gives you a complex number, and the square of its magnitude tells you the probability of making that specific transition.
4.2 Observable
hermitian operator // stop here.
expected values of observing \Omega repeatly on the same state \psi
https://docs.quantum-computing.ibm.com/start/hello-world
variance
summary: observables are represented by hermitian operators.
expected value of observing \Omega on |psi>
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