Coexistence of effects from an algebra of two projections

Abstract

The coexistence relation of quantum effects is a fundamental structure, describing those pairs of experimental events that can be implemented in a single setup. Only in the simplest case of qubit effects an analytic characterization of coexistent pairs is known. We generalize the qubit coexistence characterization to all pairs of effects in arbitrary dimension that belong to the von Neumann algebra generated by two projections. We demonstrate the presented mathematical machinery by several examples, and show that it covers physically relevant classes of effect pairs.

References in corpus (3)

• Coexistence of qubit effects
• Coexistence does not imply joint measurability
• A simple sufficient condition for the coexistence of quantum effects

Cited by in corpus (7)

• Noise Robustness of the Incompatibility of Quantum Measurements
• Incompatible measurements on quantum causal networks
• Imprecise probability for non-commuting observables
• Quantum Resource Control for noisy EPR-steering with qubit measurements
• Quantum incompatibility from the viewpoint of entanglement theory
• Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations
• On polynomials in spectral projections of spin operators