The atom-optics kicked rotor can be used to prepare specific momentum distributions on a discrete basis set. We implement a continuous-time quantum walk (QW) and a quantum search protocol in this momentum basis. In particular we propose ways to identify a specific marked state from the final momentum distribution after the walker's evolution. Our protocol is guided by current experimental possibilities making it accessible to experimentally implemented QWs with Bose–Einstein condensates.
Quantum search with a continuous-time quantum walk in momentum space / Delvecchio, Michele; Groiseau, Caspar; Petiziol, Francesco; Summy, Gil S.; Wimberger, Sandro Marcel. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 53:6(2020), p. 065301. [10.1088/1361-6455/ab63ad]
Quantum search with a continuous-time quantum walk in momentum space
Michele DelvecchioFormal Analysis
;Francesco PetiziolWriting – Review & Editing
;Sandro WimbergerSupervision
2020-01-01
Abstract
The atom-optics kicked rotor can be used to prepare specific momentum distributions on a discrete basis set. We implement a continuous-time quantum walk (QW) and a quantum search protocol in this momentum basis. In particular we propose ways to identify a specific marked state from the final momentum distribution after the walker's evolution. Our protocol is guided by current experimental possibilities making it accessible to experimentally implemented QWs with Bose–Einstein condensates.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
