Quantum non-Gaussianity of multi-phonon states of a single atom

Quantum non-Gaussian mechanical states from inherently nonlinear quantum processes are already required in a range of applications spanning from quantum sensing up to quantum computing with continuous variables. The discrete building blocks of such states are the energy eigenstates - Fock states. De...

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Published in:arXiv.org 2024-04
Main Authors: Podhora, Lukas, Lachman, Lukas, Pham, Tuan, Lesundak, Adam, Cip, Ondrej, Slodicka, Lukas, Filip, Radim
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Continuity (mathematics)
Eigenvectors
Phonons
Quantum computing
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Slodicka, Lukas
Filip, Radim
description Quantum non-Gaussian mechanical states from inherently nonlinear quantum processes are already required in a range of applications spanning from quantum sensing up to quantum computing with continuous variables. The discrete building blocks of such states are the energy eigenstates - Fock states. Despite the progress in their preparation, the remaining imperfections can still invisibly cause loss of the critical quantum non-Gaussian aspects of the phonon distribution relevant in the applications. We derive the most challenging hierarchy of quantum non-Gaussian criteria for the individual mechanical Fock states and demonstrate its implementation on the characterization of single trapped-ion oscillator states up to 10~phonons. We analyze the depth of quantum non-Gaussian features under mechanical heating and predict their application in quantum sensing. These results uncover that the crucial quantum non-Gaussian features are demanded to reach quantum advantage in the applications.
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subjects Continuity (mathematics)
Eigenvectors
Phonons
Quantum computing
title Quantum non-Gaussianity of multi-phonon states of a single atom
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