Compatibility of projective measurements subject to white noise and loss

Abstract

It is well known that when two or more quantum measurements suffer from imperfections they may lose their incompatibility. For a quantum system of finite dimension d we study the incompatibility of all projective measurements subjected to white noise and loss. We derive a necessary and sufficient conditions for this set of measurements to becomes compatible in terms of their visibility $p$ and efficiency $\eta$.

4+6 pages, 1 figure

References in corpus (5)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Joint measurability of generalized measurements implies classicality
• Incompatible measurements in quantum information science
• Simulability of high-dimensional quantum measurements
• Unlimited One-Way Steering

Cited by in corpus (1)

• Joint-measurability and quantum communication with untrusted devices