Classical simulation of circuits with realistic Gottesman-Kitaev-Preskill states
Preprint, 2024

Classically simulating circuits with bosonic codes is a challenging task due to the prohibitive cost of simulating quantum systems with many, possibly infinite, energy levels. We propose an algorithm to simulate circuits with encoded Gottesman-Kitaev-Preskill states, specifically for odd-dimensional encoded qudits. Our approach is tailored to be especially effective in the most challenging but practically relevant regime, where the codeword states exhibit high (but finite) squeezing. Our algorithm leverages the Zak-Gross Wigner function introduced by J. Davis et al. [arXiv:2407.18394], which represents infinitely squeezed encoded stabilizer states positively. The runtime of the algorithm scales with the amount of negativity of this Wigner function, enabling fast simulation of certain large-scale circuits with a high degree of squeezing.

continuous-variable quantum computing

quantum information

gottesman-kitaev-preskill states

quantum technology

Författare

Cameron Calcluth

Chalmers, Mikroteknologi och nanovetenskap, Tillämpad kvantfysik

Oliver Hahn

Chalmers, Mikroteknologi och nanovetenskap, Tillämpad kvantfysik

University of Tokyo

Juani Bermejo-Vega

Universidad de Granada

Alessandro Ferraro

Queen's University Belfast

Universita' degli Studi di Milano

Giulia Ferrini

Chalmers, Mikroteknologi och nanovetenskap, Tillämpad kvantfysik

Efficient Verification of Quantum computing architectures with Bosons (VeriQuB)

Europeiska kommissionen (EU) (EC/HE/101114899), 2023-09-01 -- 2027-08-31.

Kvantfördel i kontinuerlig variabel-arkitekturer

Vetenskapsrådet (VR) (2018-03752), 2019-01-01 -- 2022-12-31.

Wallenberg Centre for Quantum Technology (WACQT)

Knut och Alice Wallenbergs Stiftelse (KAW 2017.0449, KAW2021.0009, KAW2022.0006), 2018-01-01 -- 2030-03-31.

Ämneskategorier (SSIF 2025)

Atom- och molekylfysik och optik

Styrkeområden

Nanovetenskap och nanoteknik

DOI

10.48550/arXiv.2412.13136

Mer information

Senast uppdaterat

2025-05-08