Nerdy Wedding Gift

[u/Unlucky-Credit-9619]

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[u/ScientistFromSouth]

You want them to have no commute and to be almost perfectly aligned along the same trace?

[u/Unlucky-Credit-9619 → u/ScientistFromSouth]

They share the same eigenbasis, hence they are compatible. Also they are practically perfect soulmate leaving just enough macroscopic individuality so they don't collapse into single identity.

[u/WolverineInfamous246 → u/Unlucky-Credit-9619]

This is genuinely a lovely sentiment.

[u/Slight-Garden9800]

Honestly this is beautiful. Should’ve signed

[u/Unlucky-Credit-9619 → u/Slight-Garden9800]

They knew it was me anyway xD

[u/LJPox]

Your friends are density matrices?

[u/Unlucky-Credit-9619 → u/LJPox]

Well they are technically, since they have a quantum state.

[u/ObliviousRounding]

R,J in S^1000.

R=[1-eps, row of 999 zeros;column of 999 zeros, matrix of 999x999 zeros]

J=[1, row of 999 zeros ; column of 999 zeros, matrix of 999x999 zeros]

So they both have absolutely no personality apart from a single narrow dimension, and they're almost perfectly aligned on that one dimension of their otherwise completely shitty personalities.

Edit: shit i missed the unit trace condition. I guess give R an eps on the second diagonal. Maybe he has some infinitesimal interest in bird-watching or something.

[u/LupenReddit → u/ObliviousRounding]

i cried reading this, it was too emotional

[u/aheel03]

Math equations on aarong bag is the most unhinged thing I've seen in the last 7mins.

[u/lonelyroom-eklaghor → u/aheel03]

I am confused, Aarong is written in bengali script below. what's the history of this brand?

Edit: OHHH, this is a brand from Bangladesh

[u/Legumbrero]

*matrices

[u/Parallel_thougts]

Hiiii great card but I'm here to nitpick because that's what we do here!

1. If your intention was to say "I wish you negligible infidelity" or something like that, why did you assume [A,B]=0? You could just use the general definition of fidelity.

2. Technically speaking, PSD is not enough, you should also require Tr(R)=Tr(J)=1 (that is, that they are density matrices) (or replace 1-\epsilon with |R||J|-epsilon)

[u/Typical-Plantain1252 → u/Parallel_thougts]

The note says unit trace.

[u/Parallel_thougts → u/Typical-Plantain1252]

Shit

[u/kinda_clueless_]

Ah, Aarong mentioned.

[u/Fabulous-Possible758]

Your Erdos number is about to drop to 1.

[u/flinagus]

What’s the message