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Incompatibility of quantum instruments

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LEPPÄJÄRVI Leevi SEDLÁK Michal

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj QUANTUM
Fakulta / Pracoviště MU

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Citace
www http://dx.doi.org/10.22331/q-2024-02-12-1246
Doi https://doi.org/10.22331/q-2024-02-12-1246
Klíčová slova quantum instruments
Popis Quantum instruments describe outcome probability as well as state change induced by measurement of a quantum system. Incompatibility of two instruments, i. e. the impossibility to realize them simultaneously on a given quantum system, generalizes incompatibility of channels and incompatibility of positive operator -valued measures (POVMs). We derive implications of instrument compatibility for the induced POVMs and channels. We also study relation of instrument compatibility to the concept of non -disturbance. Finally, we prove equivalence between instrument compatibility and postprocessing of certain instruments, which we term complementary instruments. We illustrate our findings on examples of various classes of instruments.
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