TY - JOUR AB - 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 necessary to perform a simulation of a given measurement. This general approach also allows us to identify connections between different kinds 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. AU - Guerini, L. AU - Bavaresco, J. AU - Cunha, M. T. AU - Acín, A. DA - 2017/09/20/ DO - 10.1063/1.4994303 ET - 2022/04/12/ JF - Journal of Mathematical Physics PY - 2017 SE - 2017/08/15/ SP - 092102 TI - Operational framework for quantum measurement simulability UR - http://aip.scitation.org/doi/full/10.1063/1.4994303 VL - 58 ER -