How Quantum Pairs Stitch Space-Time
quantamagazine.org
quantamagazine.org
Kind of like the way polymerization of organic molecules occurs in specific ways and produces shaped structures accordingly, entangled particles build space-time shapes depending on patterns of entanglement, and perhaps not necessarily always the same pattern, leaving unevenness of space-time shape.
Just musing about the significance of the idea. It certainly has a lot of intuitive appeal.
I realize this is likely a translation error, but the amount of space required to keep the state of 300 up/down spins is 300 bits, or 38 bytes.
Now, the space to keep all possible states of 300 spins, that's different. That's what lazy evaluation (and a lot of time on your hands!) is for.
What you're thinking of is a a single basis state. The state of a 300 spin system can, in general, have any superposition of the 2^300 basis states available. These superpositions also mean that even in the single spin case, you're not representing states exactly, but truncating the representation at some point that is good enough.
A two spin system for example has the general state
a |DD> + b |DU> + c |UD> + d |UU>
EDIT: Could not resist. The storage density of a 15 mm thick 2 TB 2.5" hard disk is 152.7 Ebit/m³. With the number from above this yields 2 * 10^27 ly³ for the volume which is not to far from the visible universe with 4 * 10^32 ly³ according to Wikipedia. Okay, it is a factor of 200,000 but that will only buy you 17 more bits plus some space for cable routing.
Interestingly, a black hole's entropy is proportional the surface area of its event horizon, so the maximum information capacity of a given region of space is too. (See also: holographic universe.)
Perhaps this will help clarify why it is different. In the classical case, adding one more spin is doubling the size of your set. In the quantum mechanical case, adding one more spin instead doubles the dimensionality of the space of possible states.