User:Ilya/iQuantum/First Example

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Note: We assume that you are familiar with linear algebra


The simplest qm system consists of

states | they should form a vector space
V = \mathbb C^2
observables | operators in this vector space
 \sigma_1 = \left( {1\ 0\atop 0\ -1} \right)
dynamics | described by declaring one of the observables to be Energy
H = σ1