Open Access
Table 5
Ditsets and qudit subspaces without probabilities.
Classical logical information | Quantum logical information |
---|---|
![]() |
Commuting self-adjoint ops. F, G |
U = {u1, ..., un} | ON basis simultaneous eigenvectors F, G |
Values {ϕi}i∈I of f | Eigenvalues {ϕi}i∈I of F |
Values {γj}j∈J of g | Eigenvalues {γj}j∈J of G |
Partition {f −1(ϕi)}i∈I | Eigenspace DSD of ![]() |
Partition {g−1(γj)}j∈J | Eigenspace DSD of G |
dits of ![]() ![]() |
Qudits of F: ![]() ![]() |
dits of ![]() ![]() |
Qudits of ![]() ![]() ![]() |
dit(π) ⊆ U × U | [Qudit(F)] = subspace gen. by qudits of ![]() |
dit(σ) ⊆ U × U | [Qudit(G)] = subspace gen. by qudits of G |
dit(π) ∪ dit(σ) ⊆ U × U | [Qudit(F) ∪ Qudit(G)] ⊆ V ⊗ V |
dit(π) − dit(σ) ⊆ U × U | [Qudit(F) − Qudit(G)] ⊆ V ⊗ V |
dit(π) ∩ dit(σ) ⊆ U × U | [Qudit(F) ∩ Qudit(G)] ⊆ V ⊗ V |
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