How many types of qubit encoding on photons exist nowadays? I know only two:
Encoding on polarization: |Ψ⟩=α|H⟩+β|V⟩ |H⟩=∫∞−∞dk f(k)e−iwktˆa†H(k)|0⟩Vacuum |V⟩=∫∞−∞dk f(k)e−iwktˆa†V(k)|0⟩Vacuum
Time-bin: |Ψ⟩=α|0⟩+β|1⟩ |0⟩=∫∞−∞dz f(t−z/cδtph)e−iw0(t−z/c)ˆa†(z)|0⟩Vacuum |1⟩=∫∞−∞dz f(t−z/c+τδtph)e−iw0(t−z/c+τ)ˆa†(z)|0⟩Vacuum
Is there anything else?
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