given an EPR pair, how do I calculate expectation values?
given A and B share EPR pairs (|00⟩+|11⟩)/√2
Here A is the 1st-qubit while B is the 2nd-qubit. And, both A and B are free to measure their own qubit with the following measurement settings
A measures with [|0⟩,|1⟩] or [|+⟩,|−⟩]
B measures with [sin(3π/8)|0⟩+cos(3π/8)|1⟩,−sin(π/8)|0⟩+cos(π/8)|1⟩] or [sin(π/8)|0⟩+cos(π/8)|1⟩,−sin(3π/8)|0⟩+cos(3π/8)|1⟩]
So, let Ψ=(|00⟩+|11⟩)/√2
How do I calculate the expectation value, if A measures in
basis and b measures in [sin(3π/8)|0⟩+cos(3π/8)|1⟩,−sin(π/8)|0⟩+cos(π/8)|1⟩] basis?
I know that expectation value is in this format E=<Ψ|x|Ψ> , I would like to know what should be in place of x and how to find it ?
