Extremal quantum protocols
arXiv:1101.4889 · doi:10.1063/1.3610676
Abstract
Generalized quantum instruments correspond to measurements where the input and output are either states or more generally quantum circuits. These measurements describe any quantum protocol including games, communications, and algorithms. The set of generalized quantum instruments with a given input and output structure is a convex set. Here we investigate the extremal points of this set for the case of finite dimensional quantum systems and generalized instruments with finitely many outcomes. We derive algebraic necessary and sufficient conditions for extremality.
26 pages (JMP style), 1 figures
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Cited by in corpus (15)
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- Dynamics of quantum causal structures
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- Completely positive maps on modules, instruments, extremality problems, and applications to physics
- Quantum measurements constrained by the third law of thermodynamics
- Post-processing of quantum instruments
- Measurement disturbance and conservation laws in quantum mechanics
- Universal validity of the second law of information thermodynamics
- Extremality conditions for generalized channels
- Quantum circuit simulation of superchannels
- Extremal generalized quantum measurements
- Experimental simulation of quantum superchannels
- On the convex structure of process POVMs
- Structure of quantum measurements implementable with one round of classical communication
- Barycentric decomposition for quantum instruments