2018/06/30 by Andrea Olivo, Frédéric Grosshans · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Astronomical interferometer #Computer science #Interferometry #Mathematical analysis #Mathematics #Photon #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum optics and atomic interactions #Scaling #Statistical physics #Upper and lower bounds #quant-ph
paper · pdf · doi:10.1103/physreva.98.042323
published as Phys. Rev. A 98, 042323 (2018) · 11 pages, minor updates. The Bell measurement simulator is available as supplementary material
openalex created_date 2018/06/13 · arxiv created 2018/09/03 · openalex publication_date 2018/10/16 · arxiv updated 2018/10/19 · openalex updated_date 2026/08/05
In the last decade Grice [Phys. Rev. A 84, 042331 (2011)] and Ewert and van Loock [Phys. Rev. Lett. 113, 140403 (2014)] found linear optical networks achieving near-unit efficiency unambiguous Bell state discrimination, when fed with increasingly complex ancillary states. However, except for the vacuum ancilla case [Appl. Phys. B 72, 67 (2001)], the optimality of these schemes is unknown. Here, the optimality of these networks is investigated through analytical and numerical means. We show an analytical upper bound to the success probability for interferometers that preserve the polarization of the input photons, saturated by both Grice's and Ewert--van Loock's strategies. Furthermore, such an upper bound links the complexity of their ancilla states with the scaling of their performance. We also show a computer-aided approach to the optimization of such measurement schemes for generic interferometers, by simulating an optical network supplied with various kinds of ancillary input states. We numerically confirm the optimality of known small schemes. We use both methods to investigate other ancilla states, some of them never studied before.