Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

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 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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology 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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: unistochastic quantum channel

Bottom of Page

1 to 4 of 4

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 26th 2023

    recording some reference in reply to the question: “What about quantum channels that admit an environmental representation where the environment starts out in its maximally mixed state?”

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 26th 2023

    added a couple of paragraphs and some references on the “DQC1” model

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 28th 2023
    • (edited Sep 29th 2023)

    I have spelled out (here) enough of the proof from Müller-Hermes & Perry 2019 (of how mixed unitary QBit channels are unistochastic) to work out the unistochastic presentation (now here) for the example of the spin-flip channel

    [edit: there is something wrong with the last expression. Will check tomorrow.]

    [edit: No, it was correct. But it can of course be simplified further…]

    diff, v7, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 29th 2023

    have “simplified” (or made more transparent) the final formula for the uniformly mixed unitary form of the bit-flip channel (now here):

    (It’s an easy computation but I’ve also double-checked with computer algebra.)

    diff, v10, current

1 to 4 of 4

  1.