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arXiv · 2411.05262

Noise Transfer Approach to GKP Quantum Circuits

Timothy C Ralph·Matthew Winnel·S Nibedita Swain·Ryan J Marshman
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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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Timothy C Ralph, Matthew Winnel, S Nibedita Swain, Ryan J Marshman. 2024-11-08. Noise Transfer Approach to GKP Quantum Circuits. https://doi.org/10.3390/e26100874

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