In mathematics, Choi's theorem on completely positive maps is a result that classifies completely positive maps between finite-dimensional (matrix) C*-algebras...

positive. The transposition map itself is a co-positive map. Choi's theorem on completely positive maps K. R. Davidson: C*-Algebras by Example, American Mathematical...

and Choi's result is proved. Choi's result is a particular case of noncommutative Radon–Nikodym theorem for completely positive (CP) maps corresponding...

The term positive map may refer to: Positive-definite functions in classical analysis Choi's theorem on completely positive maps between C*-algebras (pronounced...

inverse theorem (operator theory) Browder–Minty theorem (operator theory) Choi's theorem on completely positive maps (operator theory) Commutation theorem (von...

derived from Choi's theorem on completely positive maps, characterizing a completely positive finite-dimensional map by a unique Hermitian-positive density...

^{n\times n}\rightarrow \mathbb {C} ^{m\times m}.} By Choi's theorem on completely positive maps, Ψ {\displaystyle \Psi } must take the form Ψ ( A ) = ∑ i...

L(H_{2})} is called the Choi matrix of Φ. By Choi's theorem on completely positive maps, Φ is CP if and only if ρΦ is positive (semidefinite). One can...

operator theory, the Choi–Jamiołkowski isomorphism refers to the correspondence between quantum channels (described by completely positive maps) and quantum states...

appropriate morphisms between operator systems are completely positive maps. By a theorem of Choi and Effros, operator systems can be characterized as...

used instead and positive semidefinite matrices are Hermitian, meaning B ∗ = B {\displaystyle B^{*}=B} . Theorem— Let A be a positive semidefinite matrix...

information. The Kraus representation is based on a theorem of WF Stinespring about completely positive images of finite-dimensional C*-algebras. For a...

outstanding achievements in science and technology, in part due to his work on the measurement problem. He is survived by his wife Nadezda Belavkin and son...

adjoints of linear maps. Considering only the morphisms that are completely positive maps, one can also handle mixed states, allowing the study of quantum...

spaces and linear maps. There is no analogous completeness for Rel or n-Cob. This completeness result implies that various theorems from Hilbert spaces...

Man-Duen Choi, proved the equivalence of the nuclearity and the approximation of the identity map by completely positive finite rank maps for a C ∗ {\displaystyle...

Callen and Theodore Welton proved the quantum fluctuation-dissipation theorem (FDT) which was originally formulated in classical form by Nyquist (1928)...

formal in its approach. Its emphasis is primarily on dynamic stability criteria and related theorems associated with mass-action networks. In more recent...

equator of the sphere at the positive X-axis. In the classical limit, a qubit, which can have quantum states anywhere on the Bloch sphere, reduces to...

**transition expectation** if it is completely positive and identity-preserving \cite{SSB23}. Similarly, a linear map \( \mathcal{E}_{H,O} : \mathcal{M}_{d_H}...

was not the first to discover the equation expressed in the Pythagorean theorem, as it was known and used by the Babylonians and Indians centuries before...

the values of parameters ("old" parameter values) and then uses Bayes' theorem to compute the posterior probability distributions P old ( i , s j ) {\displaystyle...