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Quantum Incompatibility Witnesses
Tekijät: Carmeli C, Heinosaari T, Toigo A
Kustantaja: AMER PHYSICAL SOC
Julkaisuvuosi: 2019
Journal: Physical Review Letters
Tietokannassa oleva lehden nimi: PHYSICAL REVIEW LETTERS
Lehden akronyymi: PHYS REV LETT
Artikkelin numero: ARTN 130402
Vuosikerta: 122
Numero: 13
Sivujen määrä: 6
ISSN: 0031-9007
eISSN: 1079-7114
DOI: https://doi.org/10.1103/PhysRevLett.122.130402
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/40019349
Tiivistelmä
We demonstrate that quantum incompatibility can always be detected by means of a state discrimination task with partial intermediate information. This is done by showing that only incompatible measurements allow for an efficient use of premeasurement information in order to improve the probability of guessing the correct state. Thus, the gap between the guessing probabilities with pre- and postmeasurement information is a witness of the incompatibility of a given collection of measurements. We prove that all linear incompatibility witnesses can be implemented as some state discrimination protocol according to this scheme. As an application, we characterize the joint measurability region of two noisy mutually unbiased bases.
We demonstrate that quantum incompatibility can always be detected by means of a state discrimination task with partial intermediate information. This is done by showing that only incompatible measurements allow for an efficient use of premeasurement information in order to improve the probability of guessing the correct state. Thus, the gap between the guessing probabilities with pre- and postmeasurement information is a witness of the incompatibility of a given collection of measurements. We prove that all linear incompatibility witnesses can be implemented as some state discrimination protocol according to this scheme. As an application, we characterize the joint measurability region of two noisy mutually unbiased bases.
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