Coincidence landscapes for polarized bosons
arXiv:1805.12023 · doi:10.1103/PhysRevA.98.013817
Abstract
Passive optical interferometry with single photons injected into some input ports and vacuum into others is enriched by admitting polarization, thereby replacing the scalar electromagnetic description by a vector theory, with the recent triad phase being a celebrated example of this richness. On the other hand, incorporating polarization into interferometry is known to be equivalent to scalar theory if the number of channels is doubled. We show that passive multiphoton channel interferometry described by SU() transformations is replaced by SU() interferometry if polarization is included and thus that the multiphoton coincidence landscape, whose domain corresponds to various relative delays between photon arrival times, is fully explained by the now-standard approach of using immanants to compute coincidence sampling probabilities. Consequently, we show that the triad phase is manifested simply as SU(6) interferometry with three input photons, with one photon in each of three different input ports. Our analysis incorporates passive polarization multichannel interferometry into the existing scalar-field approach to computing multiphoton coincidence probabilities in interferometry and demystifies the triad phase.
References in corpus (22)
- Boson Sampling on a Photonic Chip
- Experimental Boson Sampling
- Experimental boson sampling in arbitrary integrated photonic circuits
- Photonic Boson Sampling in a Tunable Circuit
- Long distance quantum teleportation of qubits from photons at 1300 nm to photons at 1550 nm wavelength
- Distinguishability and many-particle interference
- Sampling of partially distinguishable bosons and the relation to the multidimensional permanent
- Partial indistinguishability theory for multi-photon experiments in multiport devices
- Generalized multi-photon quantum interference
- Generalised Hong-Ou-Mandel Experiments with Bosons and Fermions
- Observation of genuine three-photon interference
- Multiboson Correlation Interferometry with arbitrary single-photon pure states
- Simple factorization of unitary transformations
- Multiphoton interference in quantum Fourier transform circuits and applications to quantum metrology
- Representations of the Weyl group and Wigner functions for SU(3)
- SU(3) Quantum Interferometry with single-photon input pulses
- Coincidence Landscapes for Three-Channel Linear Optical Networks
- Realization of arbitrary discrete unitary transformations using spatial and internal modes of light
- Complete three photon Hong-Ou-Mandel interference at a three port device
- Extending bosons and fermions beyond pairwise exchange symmetry
- Permutational symmetries for coincidence rates in multi-mode multi-photonic interferometry
- D-functions and immanants of unitary matrices and submatrices