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arXiv · 1705.06343

Operational framework for quantum measurement simulability

Leonardo Guerini·Jessica Bavaresco·Marcelo Terra Cunha·Antonio Acín
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Abstract

We introduce a framework for simulating quantum measurements based on classical processing of a set of accessible measurements. Well-known concepts such as joint measurability and projective simulability naturally emerge as particular cases of our framework, but our study also leads to novel results and questions. First, a generalisation of joint measurability is derived, which yields a hierarchy for the incompatibility of sets of measurements. A similar hierarchy is defined based on the number of outcomes used to perform the simulation of a given measurement. This general approach also allows us to identify connections between different types of simulability and, in particular, we characterise the qubit measurements that are projective-simulable in terms of joint measurability. Finally, we discuss how our framework can be interpreted in the context of resource theories.

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Leonardo Guerini, Jessica Bavaresco, Marcelo Terra Cunha, Antonio Acín. 2017-05-17. Operational framework for quantum measurement simulability. https://doi.org/10.1063/1.4994303

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