Quantitative wave-particle duality in multibeam interferometers
- 18 September 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 64 (4), 042113
- https://doi.org/10.1103/physreva.64.042113
Abstract
We propose quantitative measures of wave properties and particle properties for multibeam interferometers. We show that these quantities are connected by a few fundamental inequalities which express wave-particle duality. Our analysis includes which-way detection schemes and quantum erasure. The inequalities derived here are a generalization of similar limits which were studied previously in the special case of two-beam interferometers. In addition, we propose alternative measures that express the available information more efficiently, and we show that these measures fulfill similar inequalities.Keywords
This publication has 19 references indexed in Scilit:
- Conceptual inadequacy of the Shannon information in quantum measurementsPhysical Review A, 2001
- Quantitative quantum erasureOptics Communications, 2000
- Operationally Invariant Information in Quantum MeasurementsPhysical Review Letters, 1999
- Complementarity and quantum erasure inwelcher WegexperimentsPhysical Review A, 1998
- Fringe Visibility and Which-Way Information: An InequalityPhysical Review Letters, 1996
- Two interferometric complementaritiesPhysical Review A, 1995
- Experimental realization of any discrete unitary operatorPhysical Review Letters, 1994
- Simultaneous wave and particle knowledge in a neutron interferometerPhysics Letters A, 1988
- Complementarity in the double-slit experiment: Quantum nonseparability and a quantitative statement of Bohr's principlePhysical Review D, 1979
- A Mathematical Theory of CommunicationBell System Technical Journal, 1948