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  • Open Access

Asymptotically deterministic robust preparation of maximally entangled bosonic states

Matteo Piccolini1,*, Vittorio Giovannetti2, and Rosario Lo Franco1,†

  • 1Dipartimento di Ingegneria, Università di Palermo, Viale delle Scienze, 90128 Palermo, Italy
  • 2NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy

  • *matteo.piccolini@unipa.it
  • †rosario.lofranco@unipa.it
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Phys. Rev. Research 6, 013073 – Published 19 January, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.013073

Abstract

We introduce a theoretical scheme to prepare a pure Bell singlet state of two bosonic qubits, in a way that is robust under the action of arbitrary local noise. Focusing on a photonic platform, the proposed procedure employs passive optical devices and a polarization insensitive, nonabsorbing, parity check detector in an iterative process which achieves determinism asymptotically with the number of repetitions. Distributing the photons over two distinct spatial modes, we further show that the elements of the related basis composed of maximally entangled states can be divided in two groups according to an equivalence based on passive optical transformations. We demonstrate that the parity check detector can be used to connect the two sets of states. We thus conclude that the proposed protocol can be employed to prepare any pure state of two bosons which are maximally entangled in either the internal degree of freedom (Bell states) or the spatial mode (NOON states).

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Phys. Rev. Research 6, 013073– Published 19 January, 2024
  • Received 20 March 2023
  • Accepted 31 July 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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