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.

Quantum state engineering using one-dimensional discrete-time quantum walks / Innocenti, Luca; Majury, Helena; Giordani, Taira; Spagnolo, Nicolò; Sciarrino, Fabio; Paternostro, Mauro; Ferraro, Alessandro. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 96:6(2017). [10.1103/PhysRevA.96.062326]

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

Giordani, Taira;Spagnolo, Nicolò;Sciarrino, Fabio;
2017

Abstract

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.
2017
Atomic and Molecular Physics, and Optics
01 Pubblicazione su rivista::01a Articolo in rivista
Quantum state engineering using one-dimensional discrete-time quantum walks / Innocenti, Luca; Majury, Helena; Giordani, Taira; Spagnolo, Nicolò; Sciarrino, Fabio; Paternostro, Mauro; Ferraro, Alessandro. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 96:6(2017). [10.1103/PhysRevA.96.062326]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1070072
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