The Beckenstein Bound Is the Number of Basis States, Not the Quantum State

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In a single spin is described by a two dimensional space of possibilities called the block sphere. A sphere just like a real number has an infinite number of points. So it's not a real numbers worth of information that is required to tell you what quantum states form the basis for the system we're looking at. But we never have that information. We don't have access to it. We all of our measurements only have a finite resolution. Right?

Welcome to the September 2022 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Patrons, whittle them down to a more manageable number — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!

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