Multimode Bogoliubov transformation and Husimi's Q-function
arXiv:2004.05766 · doi:10.1088/1742-6596/1612/1/012015
Abstract
In this paper, we present numerical schemes for evaluating the matrix elements of Gaussian/non-Gaussian operators in the Fock state basis, which are identified as multivariate Hermite polynomials (MHPs). Using the integral transformation operator to perform the multimode Bogoliubov transformation, Husimi's Q-functions of Gaussian/non-Gaussian operators are easily derived as the generating functions of MHPs.
arXiv comment9 pages
References in corpus (15)
- Gaussian Quantum Information
- Continuous variable quantum information: Gaussian states and beyond
- Squeezing as an irreducible resource
- Gaussian Boson Sampling
- Boson Sampling for Molecular Vibronic Spectra
- A detailed study of Gaussian Boson Sampling
- Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
- Multidimensional Hermite polynomials and photon distribution for polymode mixed light
- Gaussian Boson Sampling for perfect matchings of arbitrary graphs
- What can quantum optics say about computational complexity theory?
- Quantum simulation of molecular spectroscopy in trapped-ion device
- Vibronic Boson Sampling: Generalized Gaussian Boson Sampling for Molecular Vibronic Spectra at Finite Temperature
- Franck-Condon factors by counting perfect matchings of graphs with loops
- Approximating Vibronic Spectroscopy with Imperfect Quantum Optics
- Multi-Dimensional Hermite Polynomials in Quantum Optics
Cited by in corpus (7)
- Imaginarity of Gaussian states
- Quantifying the imaginarity of quantum states via Tsallis relative entropy
- Fast optimization of parametrized quantum optical circuits
- Riemannian optimization of photonic quantum circuits in phase and Fock space
- Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas
- Simulating the Photon Statistics of Multimode Gaussian States by Automatic Differentiation of Generating Functions
- Analog quantum simulation of non-Condon effects in molecular spectroscopy