B What tells us photons were ever in a superposition in EPR

[Andrew Wright]

Hi,

I know that entanglement is real and that it tells us something profound about the nature of quantum objects like electrons and photons. I can't explain to a family member how we know that two twin photons in the EPR experiment started off in a superposition. In other words, how do we know that the photons acquired their spin up/down properties when measured? Am I wrong about it?

Please help

Thanks

Andrew

 

[phyzguy]

When we do the EPR experiment, we don't just start with two random photons. We start with two very carefully prepared photons that result from the decay of a known state. So we know that their spins are correlated.

 

[DrChinese]

I know that entanglement is real and that it tells us something profound about the nature of quantum objects like electrons and photons. I can't explain to a family member how we know that two twin photons in the EPR experiment started off in a superposition. In other words, how do we know that the photons acquired their spin up/down properties when measured?

One's initial reaction is that the 2 particles acquired their spin properties at T=0 (when initially entangled). However, that simple assumption leads to a contradiction with experiment. That contradiction was first discovered by John Bell, around 30 years after the EPR paper (and about 10 years after Einstein's death).

Look up Bell's Theorem, or alternately go to a web page I created which will give you a minimally taxing explanation:

http://drchinese.com/David/Bell_Theorem_Easy_Math.htm

Sadly, this is not the kind of thing you can explain over a family dinner.

 

[Andrew Wright]

Thanks for your time and patience :)

 

[jfizzix]

Hi,

I know that entanglement is real and that it tells us something profound about the nature of quantum objects like electrons and photons. I can't explain to a family member how we know that two twin photons in the EPR experiment started off in a superposition. In other words, how do we know that the photons acquired their spin up/down properties when measured? Am I wrong about it?

Please help

Thanks

Andrew

In the EPR scenario, you can prove that they started off in a superposition because if they were in a classically correlated mixture (e.g., sending out randomly spin-up pairs or spin-down pairs), the correlations could only be so strong. This comes from assuming the uncertainty principle is correct. For spin-1/2 observables, the uncertainty principle would say that the particle cannot have both a perfectly defined horizontal component of spin and a vertical component of spin. This uncertainty principle also holds true when conditioning on a third variable (whatever variable determines whether up-up is sent or down-down), and because of this, the conditional uncertainties (i.e., the uncertainty of measuring the spin of B conditioned on the outcome of A) would also have to obey the same limit.

However, there's no real limit to the correlations between these observables, so if you measure near-perfect correlations between the two spins no matter how you orient your measurement axis (e.g., horizontal/vertical), then you rule out the possibility that there's a classical explanation of the correlations, and they must indeed be in an entangled superposition.

 

[atyy]

I know that entanglement is real and that it tells us something profound about the nature of quantum objects like electrons and photons. I can't explain to a family member how we know that two twin photons in the EPR experiment started off in a superposition. In other words, how do we know that the photons acquired their spin up/down properties when measured? Am I wrong about it?

In an EPR experiment, the photons are entangled before measurement. However, that does not mean that "the photons acquired their spin up/down properties when measured". The theory is silent about what properties photons have between measurements. What the EPR experiment and the violation of the Bell inequalities say is that (given some conventional assumptions) if photons have properties between measurements, then the properties are nonlocal.