Noise Transfer Approach to GKP Quantum Circuits
Timothy C Ralph, Matthew Winnel, S Nibedita Swain, Ryan J Marshman
TL;DR
This paper introduces a Heisenberg picture-based method for analyzing Bosonic quantum circuits, especially GKP qubits, by separating signal and noise contributions to better understand quantum computation resources.
Contribution
The paper presents a novel Heisenberg picture approach for analyzing Bosonic quantum circuits, enabling noise and signal separation similar to classical systems.
Findings
Effective noise-signal separation in GKP-based quantum circuits
Potential reduction in computational resource estimation
Applicability to Bosonic quantum systems
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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