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Trapped Ion Quantum Computing

Noise Transfer Approach to GKP Quantum Circuits

arXiv
Authors: Timothy C Ralph, Matthew Winnel, S Nibedita Swain, Ryan J Marshman

Year

2024

Paper ID

37007

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

The choice between the Schroedinger and Heisenberg pictures can significantly impact the computational resources needed to solve a problem, even though they are equivalent formulations of quantum mechanics. Here we present a method for analysing Bosonic quantum circuits based on the Heisenberg picture that allows, under certain conditions, a useful factoring of the evolution into signal and noise contributions, in a similar way as can be done with classical communication systems. We provide examples which suggest this approach may be particular useful in analysing quantum computing systems based on the Gottesman-Kitaev-Preskill (GKP) qubits.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • The choice between the Schroedinger and Heisenberg pictures can significantly impact the computational resources needed to solve a problem, even though they are equivalent...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2411.05262 [2] arXiv https://arxiv.org/abs/2411.05262 [3] Publisher https://arxiv.org/abs/2411.05262

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