Quantifying Unsharpness of Observables in an Outcome-Independent way

نویسندگان

چکیده

Recently, a very beautiful measure of the unsharpness (fuzziness) observables is discussed in paper [Phys. Rev. A 104, 052227 (2021)]. The which defined this constructed via uncertainty and does not depend on values outcomes. There exist several properties set (e.g., incompatibility, non-disturbance) that do Therefore, approach above-said consistent with above-mentioned fact able to intrinsic observables. In work, we also quantify an outcome-independent way. But our different than paper. at first, construct two Luder's instrument-based measures provide tight upper bounds those measures. Then prove monotonicity under class fuzzifying processes (processes make more fuzzy). This resource-theoretic framework. relate Next, try instrument-independent particular, define then derive condition for dichotomic qubit show unknown measurement, all these can be determined experimentally. Finally, present idea resource theory sharpness

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ژورنال

عنوان ژورنال: International Journal of Theoretical Physics

سال: 2022

ISSN: ['0020-7748', '1572-9575']

DOI: https://doi.org/10.1007/s10773-022-05219-2