Entanglement: Understanding the 2 Electron System States

xMonty
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i saw a video on entanglement but one thing confused me
for a two electron system the possible states were described as 6
|u,u> , |u,d>, |d,u>, |d,d> plus two more states

i didnt get which two more states are there besides the above
 
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There are actually an infinite number of states possible. The states you mention form a basis of all possible states. We can form superpositions using these basis vectors. In general:

w |u,u\rangle+x |u,d\rangle+y |d,u\rangle+z |d,d\rangle

is a valid state. ((w,x,y,z) are complex numbers, and the state needs to be normalized as well)
 


There are an infinite amount of states, depending on how many particles are invovled.
 


And these infinite number of possible states MAY give rise to an infinite number of alternative universes...the multiverse...
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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