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|Title:||Quantum which-way information and fringe visibility when the detector is entangled with an ancilla|
|Authors:||Tej, Prabhu J.|
Usha Devi, A.R.
|Publisher:||American Physical Society|
|Citation:||Physical Review A, 2014, Vol. 89, p062116|
|Abstract:||Quantum-mechanical wave-particle duality is quantified in terms of a trade-off relation between the fringe visibility and the which-way distinguishability in an interference experiment. This relation was recently generalized by Banaszek et al. [Nat. Commun. 4, 2594 (2013)] when the particle is equipped with an internal degree of freedom such as spin. Here, we extend the visibility-distinguishability trade-off relation to quantum interference of a particle possessing an internal degree of freedom, when the which-way detector state is entangled with an ancillary system. We introduce an extended which-way distinguishability DE and the associated extended fringe visibility VE, satisfying the inequality D2E+V2E≤1 in this scenario. We illustrate, with the help of three specific examples, that while the which-way information inferred solely from the detector state (without ancilla) vanishes, the extended distinguishability retrievable via measurements on the detector-ancilla entangled state is nonzero. Furthermore, in all the three examples, the extended visibility and the generalized visibility (which was introduced by Banaszek et al.) match identically with each other.|
|Copyright:||2014 American Physical Society This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Physical Society|
|Appears in Collections:||Research Papers (LAMP)|
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