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What are non maximally entangled Bell bases?

Quantum Computing Asked by Ganesh M on February 12, 2021

What are non maximally entangled Bell bases? How to derive those Bell bases and where can these bases be used?

One Answer

One such nonmaximally entangled basis might be:

$|Theta^1 rangle = |Psi^+ rangle = dfrac{|01 rangle + |10rangle}{sqrt{2}}$

$|Theta^2 rangle = |Psi^- rangle = dfrac{|01 rangle - |10rangle}{sqrt{2}}$

$|Theta^3 rangle = dfrac{ cos(phi)^2|00 rangle + sin(phi)^2|11rangle}{sqrt{cos(phi)^4 + sin(phi)^4 } } $

$|Theta^4 rangle = dfrac{ cos(phi)^2|00 rangle - sin(phi)^2|11rangle}{sqrt{cos(phi)^4 + sin(phi)^4 } } $

according to the paper "Nonmaximally entangled bases and their application in entanglement purification via swapping".

Answered by KAJ226 on February 12, 2021

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