Experimental certification of contextuality, coherence, and dimension in a programmable universal photonic processor

• DOI: 10.1126/sciadv.adj4249
• Publication Date: 2023-11-03T17:59:10Z
• Authors: Taira Giordani; Rafael Wagner; Chiara Esposito; Anita Camillini; Francesco Hoch; Gonzalo Carvacho; Ciro Pentangelo; Francesco Ceccarelli; Simone Piacentini; Andrea Crespi; Nicolò Spagnolo; Roberto Osellame; Ernesto F. Galvão; Fabio Sciarrino
• Keywords: Kochen–Specker theorem

Quantum superposition of high-dimensional states enables both computational speed-up and security in cryptographic protocols. However, the exponential complexity tomographic processes makes certification these properties a challenging task. In this work, we experimentally certify coherence witnesses tailored for quantum systems increasing dimension using pairwise overlap measurements enabled by six-mode universal photonic processor fabricated with femtosecond laser writing technology. particular, show effectiveness proposed qudits dimensions up to 5. We also demonstrate advantage interrogation task it is fueled contextuality. Our experimental results testify efficiency approach programmable integrated platforms.