Quantum state engineering using one-dimensional discrete-time quantum walks

Luca Innocenti, Helena Majury, Mauro Paternostro, Alessandro Ferraro, Fabio Sciarrino, Nicolò Spagnolo, Taira Giordani

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)
316 Downloads (Pure)


Quantum state preparation in high-dimensional systems is an essential requirement for many quantum-technology applications. The engineering of an arbitrary quantum state is, however, typically strongly dependent on the experimental platform chosen for implementation, and a general framework is still missing. Here we show that coined quantum walks on a line, which represent a framework general enough to encompass a variety of different platforms, can be used for quantum state engineering of arbitrary superpositions of the walker's sites. We achieve this goal by identifying a set of conditions that fully characterize the reachable states in the space comprising walker and coin and providing a method to efficiently compute the corresponding set of coin parameters. We assess the feasibility of our proposal by identifying a linear optics experiment based on photonic orbital angular momentum technology.
Original languageEnglish
Article number062326
Pages (from-to)1-11
JournalPhysical Review A (Atomic, Molecular, and Optical Physics)
Issue number6
Publication statusPublished - 21 Dec 2017


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