Complementarity relations in a multipath interferometer with quantum memory
Phys. Rev. A 112, 012427 – Published 25 July, 2025
DOI: https://doi.org/10.1103/ms72-2mzb
Abstract
Complementarity relations impose constraints on different aspects of quantum states. We study the complementarity relation within a multipath interferometer that includes detectors and quantum memory. We consider mixed states as the input states. We establish a duality relation between the visibility and the path distinguishability. Based on this duality, two triality relations are derived, one related to visibility, path distinguishability, and mixedness and the other related to visibility, path distinguishability, and entanglement. Therefore, the role of entanglement in multipath interferometer is characterized quantitatively. These complementarity relations are all complete for the two-path interferometer.
