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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber101.
   • CommentAuthorUrs
   • CommentTimeSep 26th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded ([here](https://ncatlab.org/nlab/show/quantum+channel#CanonicalKrausDecomposition)) statement of the *canonical* Kraus form <a href="https://ncatlab.org/nlab/revision/diff/quantum+channel/115">diff</a>, <a href="https://ncatlab.org/nlab/revision/quantum+channel/115">v115</a>, <a href="https://ncatlab.org/nlab/show/quantum+channel">current</a>

   added (here) statement of the canonical Kraus form

   diff, v115, current

2. • CommentRowNumber102.
   • CommentAuthorUrs
   • CommentTimeJul 27th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Garth Warner]]: *Positivity*, University of Washington &lbrack;[pdf](https://sites.math.washington.edu//~warner/Positivity_Warner.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/quantum+channel/118">diff</a>, <a href="https://ncatlab.org/nlab/revision/quantum+channel/118">v118</a>, <a href="https://ncatlab.org/nlab/show/quantum+channel">current</a>

   added pointer to:

   • Garth Warner: Positivity, University of Washington [pdf]

   diff, v118, current

3. • CommentRowNumber103.
   • CommentAuthorUrs
   • CommentTimeNov 9th 2024
   • (edited Nov 9th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Robert Allen, Dominic Verdon: *$\mathbb{C}P^\infty$ and beyond: 2-categorical dilation theory*, Theory and Applications of Categories **41** 50 (2024) 1783-1811 &lbrack;[arXiv:2310.15776](https://arxiv.org/abs/2310.15776), [tac:41-50](http://www.tac.mta.ca/tac/volumes/41/50/41-50abs.html)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/quantum+channel/121">diff</a>, <a href="https://ncatlab.org/nlab/revision/quantum+channel/121">v121</a>, <a href="https://ncatlab.org/nlab/show/quantum+channel">current</a>

   added pointer to:

   • Robert Allen, Dominic Verdon: $\mathbb{C}P^\infty$ and beyond: 2-categorical dilation theory, Theory and Applications of Categories 41 50 (2024) 1783-1811 [arXiv:2310.15776, tac:41-50]

   diff, v121, current