Generalized Interference of Fermions and Bosons
arXiv:2203.06261 · doi:10.1103/PhysRevResearch.4.023013
Abstract
Using tools from representation theory, we derive expressions for the coincidence rate of partially-distinguishable particles in an interferometry experiment. Our expressions are valid for either bosons or fermions, and for any number of particles. In an experiment with particles the expressions we derive contain a term for each partition of the integer ; Gamas's theorem is used to determine which of these terms are automatically zero based on the pairwise level of distinguishability between particles. Most sampling schemes (such as Boson Sampling) are limited to completely indistinguishable particles; our work aids in the understanding of systems where an arbitrary level of distinguishability is permitted. As an application of our work we introduce a sampling scheme with partially-distinguishable fermions, which we call Generalized Fermion Sampling.
arXiv comment26 Pages, 2 figues
References in corpus (30)
- Gaussian Boson Sampling
- Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
- Boson Sampling for Molecular Vibronic Spectra
- Classical simulation of noninteracting-fermion quantum circuits
- Boson Sampling from Gaussian States
- Coherent control of single electrons: a review of current progress
- Quantum versus Classical Annealing of Ising Spin Glasses
- Controlled double-slit electron diffraction
- A detailed study of Gaussian Boson Sampling
- Molecular Docking with Gaussian Boson Sampling
- 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
- A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
- Generalised Hong-Ou-Mandel Experiments with Bosons and Fermions
- Error tolerance of the BosonSampling model for linear optics quantum computing
- -Corrected Heisenberg Limit
- Representations of the Weyl group and Wigner functions for SU(3)
- Vibronic Boson Sampling: Generalized Gaussian Boson Sampling for Molecular Vibronic Spectra at Finite Temperature
- Quantum approximate optimization with Gaussian boson sampling
- SU(3) Quantum Interferometry with single-photon input pulses
- Fermionic Linear Optics Revisited
- Coincidence Landscapes for Three-Channel Linear Optical Networks
- A quantum-inspired algorithm for estimating the permanent of positive semidefinite matrices
- Decision and function problems based on boson sampling
- Cryptographic One-way Function Based on Boson Sampling
- Boson sampling with non-identical single photons
- Permutational symmetries for coincidence rates in multi-mode multi-photonic interferometry
- A Short Proof of Gamas's Theorem
- Experimental linear optical computing of the matrix permanent