The article is valuable, but I wanted to point out that it is not explicitly stated that the implementation of the linear combination of unitaries is not a deterministic solution. There is a probability of failure when not the encoded portion is selected by the measurement. This would be nice to spell out.
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Hi @sustik , welcome to the Forum 
And thank you for your feedback! We’ll look into the best way of clarifying this in the demo. Thanks again for pointing it out!