2016/11/01 by Yanjun Liu, Jing Lu, Lan Zhou +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Beam splitter #Complementarity (molecular biology) #Computer science #Detector #Interferometry #Laser #Mach–Zehnder interferometer #Mathematics #Neural Networks and Reservoir Computing #Observational error #Optical path #Optical path length #Optics #Path (computing) #Path length #Photonic and Optical Devices #Physics #Quantum Information and Cryptography #Statistics #Visibility #quant-ph
paper · pdf · doi:10.1088/1612-202x/aa6593
7 pages, 5 figures
arxiv created 2016/11/01 · openalex publication_date 2017/03/28 · arxiv updated 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We study both wave-like behavior and particle-like behavior in a general Mach–Zehnder interferometer with an asymmetric beam splitter. An error-free measurement in the detector is used to extract the which-path information. The fringe visibility V and the which-path information I path are derived, their complementary relation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mstyle displaystyle="false"> <mml:mi>V</mml:mi> <mml:mo>+</mml:mo> <mml:mstyle displaystyle="false"> <mml:msub> <mml:mrow> <mml:mi>I</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">p</mml:mi> <mml:mi mathvariant="normal">a</mml:mi> <mml:mi mathvariant="normal">t</mml:mi> <mml:mi mathvariant="normal">h</mml:mi> </mml:mrow> </mml:msub> </mml:mstyle> <mml:mo>⩽</mml:mo> <mml:mn>1</mml:mn> </mml:mstyle> </mml:math> is found, and the condition for the equality is also presented.