Geodesic
On the Structure of Postselective Transformations of Quantum States
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 132-143

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We study the properties of postselective transformations of quantum states, that is, transformations for which some classical results are declared “successful” while the rest are discarded. We demonstrate that for every postselective transformation there exists a distinguished orthonormal basis for which the transformation reduces to probabilistic blocking of the basis states followed by a deterministic transformation. We also describe a generalization of an arbitrary postselective transformation that corresponds to its partial version with a given success probability.
Keywords: quantum postselective transformations, quantum instrument
Mots-clés : quantum information. 
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     author = {D. A. Kronberg},
     title = {On the {Structure} of {Postselective} {Transformations} of {Quantum} {States}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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D. A. Kronberg. On the Structure of Postselective Transformations of Quantum States. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 132-143. http://geodesic.mathdoc.fr/item/TM_2024_324_a12/