Quantum computing with Bose--Einstein condensate Bragg interferometry

Quantum computers use the interferences of different computational paths to enhance correct outcomes. Quantum computation can be viewed as multiparticle computational interference~[1]. We describe how quantum circuits can be mapped to interferometry experiments performed on BECs using Bragg pulses. We extend an approach originally developed to model Bragg interferometry of BECs~[2], to describe new interferometers based on quantum information concepts. This approach follows ideas recently introduced in neutron interferometry~[3]. Using techniques that have been well calibrated by experiments in conventional BEC interferometry~[2], we model the experiments associated with some simple quantum circuits using the prototyping method mentioned above. We prototype extensions to standard Mach-Zehnder configurations, analogous to the four-blade designs of neutron interferometry.\\[4pt] [1] R. Cleve, Proc. R. Soc. Lond. A {\bf 454} 339 (1998) et al.\newline [2] J. E. Simsarian, {\em et al.}, {\em Phys. Rev. Lett.} {\bf 85}, 2040 (2000) \newline [3] D. A. Pushin, M. Arif, and D. G. Cory, {\em Phys. Rev. A} {\bf 79}, 053635, (2009)