Many-particle interference and entanglement controlled by undetected particles

Creating and manipulating entangled states are essential for performing various tasks in quantum information science. We present a unique interferometric scheme that allows us to generate many-particle entangled states. The unique feature of the scheme is that the entangled states can be manipulated without interacting with the entangled particles [1]. We illustrate the scheme by two special cases in which Bell states and GHZ-class states are produced. The scheme also emphasizes the connection between interference and entanglement, a connection that has been of interest in fundamental physics [2-4].

[1] M. Lahiri, “Many-particle interferometry and entanglement by path identity,” Phys. Rev. A 98, 033822 (2018).
[2] M. A. Horne, A. Shimony and A. Zeilinger, “Two-Particle Interferometry,” Phys. Rev. Lett. 62, 2209 (1989).
[3] D. M. Greenberger, M. A. Horne, A. Shimony and A. Zeilinger, “Bell’s theorem without inequalities,” Am. J. Phys. 58, 1131 (1990).
[4] J. W. Pan, Z. B.Chen, C. Y . Lu, H. Weinfurter, A. Zeilinger, and M. Zukowski, “Multiphoton entanglement and interferometry”, Rev. Mod. Phys. 84, 777 (2012).