Theory of Quantum Information with Memory

Subject Index

[

• $[\mathit{a}\mathrm{,}\mathit{b}[$ 1
• $[\mathit{a}\mathrm{,}\mathit{b}]$ 1
• $[\mathit{b}\mathrm{,}+\infty [$ 1
• $[\mathit{\pi }\mathrm{(}\mathcal{A}\mathrm{)}\mathbb{H}]$ 1

]

• $]\mathit{a}\mathrm{,}\mathit{b}]$ 1
• $]-\infty \mathrm{,}\mathit{a}]$ 1

0

• $\mathrm{(}\mathcal{A}\mathrm{,}\mathit{\rho }\mathrm{)}$ 1
• ${\mathrm{(}\ker \mathrm{(}\mathrm{{\rm Y}}\mathrm{)}\mathrm{)}}^{\perp }$ 1
• ${\mathrm{(}\mathbf{T}-\mathit{\lambda }\mathbf{I}\mathrm{)}}^{-1}$ 1
• $\mathrm{(}\mathbb{X}\mathrm{,}\mathcal{B}\mathrm{(}\mathbb{X}\mathrm{)}\mathrm{,}\mathbf{a}\mathrm{)}$ 1
• $\mathrm{(}\mathbb{X}\mathrm{,}\mathcal{B}\mathrm{(}\mathbb{X}\mathrm{)}\mathrm{,}\mathit{\mu }\mathrm{)}$ 1
• $\mathrm{(}\mathit{\pi }\mathrm{,}\mathbb{H}\mathrm{,}{\mathit{v}}_{\mathit{\pi }}\mathrm{)}$ 1
• $\mathrm{(}\mathit{\pi }\mathrm{,}\mathbb{H}\mathrm{)}$ 1
• $\mathrm{(}{\mathit{\pi }}_1\mathrm{,}{\mathbb{H}}_1\mathrm{)}\cong \mathrm{(}{\mathit{\pi }}_2\mathrm{,}{\mathbb{H}}_2\mathrm{)}$ 1
• $||·|{|}_{\mathbb{B}}$ 1
• $||·|{|}_{\mathrm{cb}}$ 1
• $||·|{|}_{\mathbb{H}}$ 1
• $||·|{|}_{\mathit{H}\mathit{S}}$ 1
• $||·|{|}_{\infty }$ 1
• $||·|{|}_{◇}$ 1
• $||\mathbf{T}|{|}_1$ 1
• $||\mathbf{T}|{|}_{\mathrm{HS}}$ 1
• $||\mathbf{T}|{|}_{\infty }$ 1
• $||\mathrm{\Phi }|{|}_{\mathit{\rho }}$ 1
• $|\mathit{z}|$ 1
• ${\mathbf{0}}_{\mathbb{X}}$ 1
• ${\mathit{C}}_{\mathrm{ea}}\mathrm{(}\mathrm{\Phi }\mathrm{)}$ 1
• ${\mathit{C}}_{\mathrm{ea}}^{\mathrm{lm}}\mathrm{(}\mathrm{\Phi };\mathbf{H}\mathrm{,}\mathit{E}\mathrm{)}$ 1
• ${\mathit{C}}_{\mathrm{ea}}^{\mathrm{lm}}\mathrm{(}\mathrm{\Phi }\mathrm{)}$ 1
• ${\mathit{C}}_{\mathrm{prod}}^{\mathrm{lm}}\mathrm{(}\mathrm{\Phi }\mathrm{)}$ 1
• $\mathcal{S}\mathrm{(}{\mathfrak{A}}^{\mathrm{(}\mathit{n}\mathrm{)}}\mathrm{)}$ 1
• $\mathcal{S}\mathrm{(}{\mathfrak{A}}^{\mathrm{(}\infty \mathrm{)}}\mathrm{)}$ 1
• $\mathrm{\Gamma }\mathrm{(}\mathcal{A}\mathrm{)}$ 1
• $\mathrm{\Pi }\mathrm{(}\mathcal{A}\mathrm{,}\mathfrak{B}\mathrm{(}\mathbb{H}\mathrm{)}\mathrm{)}$ 1
• ${\mathrm{\Pi }}_{\mathit{i}\mathrm{,}\mathit{j}}^{\pm }$ 1
• ${\mathrm{\Phi }}^{\mathrm{(}\mathit{n}\mathrm{)}}\mathrm{(}{\mathit{\rho }}_{{\mathrm{\Lambda }}_{\mathit{n}}\mathrm{,}\mathit{A}}^{\mathrm{(}\mathit{n}\mathrm{)}}\mathrm{)}$ 1
• ${\mathrm{\Phi }}_{\mathrm{(}\infty \mathrm{)}}$ 1
• ${\mathrm{\Phi }}_{\mathit{C}}^{\mathrm{(}\mathit{n}\mathrm{)}}\mathrm{(}{\mathit{\rho }}_{{\mathrm{\Lambda }}_{\mathit{n}}\mathrm{,}\mathit{A}}^{\mathrm{(}\mathit{n}\mathrm{)}}\mathrm{)}$ 1
• $\hat{\mathrm{\Phi }}$ 1
• $\mathrm{\Omega }\mathrm{(}\mathrm{\Phi }\mathrm{,}\mathcal{A}\mathrm{)}$ 1
• ι 1
• ${\mathit{\lambda }}^{\mathrm{†}}\mathrm{(}\mathbf{H}\mathrm{)}$ 1
• ${\mathit{\lambda }}_{\mathrm{†}}\mathrm{(}\mathit{\sigma }\mathrm{)}$ 1
• ${\mathit{\mu }}_{\mathit{\nu }}$ 1
• π 1
• $\mathit{\rho }\mathrm{(}\mathbf{T}\mathrm{)}$ 1
• $\mathit{\rho }\perp \mathit{\sigma }$ 1
• $\mathit{\sigma }\mathrm{(}\mathbf{T}\mathrm{)}$ 1
• σ-algebra 
  • Borel 1
• ${\mathit{\sigma }}_{\mathit{c}}\mathrm{(}\mathbf{T}\mathrm{)}$ 1
• ${\mathit{\sigma }}_{\mathit{p}}\mathrm{(}\mathbf{T}\mathrm{)}$ 1
• ${\mathit{\sigma }}_{\mathit{r}}\mathrm{(}\mathbf{T}\mathrm{)}$ 1
• χ-capacity 
  • additive 1
  • subadditive 1
  • superadditivity 1
• ${\mathit{\chi }}_{\mathrm{\Phi }}\mathrm{(}\mathit{\mu }\mathrm{)}$ 1
• $\mathit{\psi }\mathrm{(}\mathit{a}\mathrm{)}$ 1
• $\mathit{\psi }\perp \mathit{\varphi }$ 1
• ^∗-automorphism 1
• ^∗-homomorphism 1
• ^∗-isomorphism 1
• ${\vee }_{\mathit{\alpha }}{\mathbf{a}}_{\mathit{\alpha }}$ 1
• ${⟨·\mathrm{,}·⟩}_2$ 1
• ${⟨·\mathrm{,}·⟩}_{{\mathbb{C}}^{\mathit{n}}}$ 1
• ${⟨·\mathrm{,}·⟩}_{\mathbb{H}}$ 1
• ${⟨·\mathrm{,}·⟩}_{{\mathit{l}}^2}$ 1
• ${⟨·\mathrm{,}·⟩}_{{\mathit{L}}^2}$ 1

A

• $\overline{\mathit{A}}$ 1
• $\mathbf{a}\mathrm{(}\mathit{E}\mathrm{)}$ 1
• algebra 
  • ${\mathit{C}}^{\ast }$- 1
  • quasi-local ...