Work

Quantum Incompatibility Witnesses

Year: 2019

Type: article

Abstract: 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.122.130402

Authors: Claudio Carmeli, Teiko Heinosaari, Alessandro Toigo

Institutions: University of Genoa, University of Turku, Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Politecnico di Milano

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Academy of Finland

Awards: G8015633989, G8861039739