Continuous-Variable Sampling from Photon-Added or Photon-Subtracted Squeezed States - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Physical Review A Année : 2017

Continuous-Variable Sampling from Photon-Added or Photon-Subtracted Squeezed States

Résumé

We introduce a new family of quantum circuits in Continuous Variables and we show that, relying on the widely accepted conjecture that the polynomial hierarchy of complexity classes does not collapse, their output probability distribution cannot be efficiently simulated by a classical computer. These circuits are composed of input photon-subtracted (or photon-added) squeezed states, passive linear optics evolution, and eight-port homodyne detection. We address the proof of hardness for the exact probability distribution of these quantum circuits by exploiting mappings onto different architectures of sub-universal quantum computers. We obtain both a worst-case and an average-case hardness result. Hardness of Boson Sampling with eight-port homodyne detection is obtained as the zero squeezing limit of our model. We conclude with a discussion on the relevance and interest of the present model in connection to experimental applications and classical simulations.

Dates et versions

hal-01619872 , version 1 (19-10-2017)

Identifiants

Citer

Ulysse Chabaud, Tom Douce, Damian Markham, Peter van Loock, Elham Kashefi, et al.. Continuous-Variable Sampling from Photon-Added or Photon-Subtracted Squeezed States. Physical Review A, 2017, ⟨10.1103/PhysRevA.96.062307⟩. ⟨hal-01619872⟩
137 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More