Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 58, Issue 9, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4994303
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Funding
- CAPES
- CNPq
- FAEPEX
- Spanish MINECO [QIBEQI FIS2016-80773-P]
- Spanish MINECO (Severo Ochoa) [SEV-2015-0522]
- Fundacio Cellex
- Generalitat de Catalunya [SGR875]
- Generalitat de Catalunya (CERCA Program)
- ERC CoG QITBOX
- AXA Chair in Quantum Information Science
- Austrian Science Fund (FWF) through START Project [Y879-N27]
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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. Published by AIP Publishing.
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