Complementarity: From quantum eraser to duality relations

Suhail Zubairy (Texas A&M University)

The complementarity principle, developed and introduced by Bohr in 1927, is fundamentally 
important in quantum theory, which predicts that a quantum system may exhibit different 
properties based on different measurement schemes. As the most typical example of 
 complementarity, wave-particle duality has attracted much attention since the early days of
 quantum theory. The complementarity of a single photon¡¯s particlelike andwavelike behaviors
 can be described by an inequality involving the path distinguishability and  the fringe visibility.
 In this talk, we shall discuss these relations and generalize this duality relation to the
 multiphoton case, where two concepts, higher-order distinguishability and higher-order fringe
 visibility, are introduced to quantify the higher-order particlelike and wavelike behaviors of
 multiphotons.