Three-dimensional compact photonic circuits for quantum state tomography of multipath qudits in any finite dimension. (7th October 2021)

• Record Type: Journal Article
• Authors: Cardoso, W R; Barros, D F; Neves, L; Pádua, S
• Is Part Of: Journal of optics. Volume 23:Number 11(2021)
• Publication Date: 2021-10-07
• Subjects: quantum tomography -- quantum information -- photonic circuits -- qudits; Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8986/ac23a6
• Languages: English
• ISSNs: 2040-8978

Abstract

Abstract: We propose compact three-dimensional photonic circuit designs that guarantee a remarkable reduction in the complexity of circuits to perform quantum state tomography of N -dimensional path qudits. We obtain solutions such that the number of beam splitters obeys a polynomial function of degree three with the quantum system dimension, whereas, in current proposals, this quantity grows with a polynomial function of degree four. In addition, the optical depth reduces from quadratic to linear over the dimension of the Hilbert space.