aiqbench analysis
This research proposes a novel framework for interpreting measurements in hybrid qubit-oscillator systems by mapping them onto Feynman diagrams from quantum field theory. By reformulating the reconstruction of these diagrams as a multi-parameter estimation problem, the study identifies optimal experimental regimes for trapped-ion devices to minimize errors while probing lattice field theories. This work advances the theoretical toolkit for using quantum simulators to explore complex many-body physics through a bottom-up approach.
Towards quantum computing Feynman diagrams in hybrid qubit-oscillator devices
arXiv:2411.05092v2 Announce Type: replace Abstract: We show that recent experiments in hybrid qubit-oscillator devices that measure the phase-space characteristic function of the oscillator via the qubit can be seen through the lens of functional calculus and path integrals, drawing a clear analogy with the generating functional of a quantum field theory. This connection suggests an expansion of the characteristic function in terms of Feynman diagrams, exposing the role of the real-time bosonic propagator, and identifying the external source functions with certain time-dependent couplings that can be controlled experimentally. By applying maximum-likelihood techniques, we show that the ``measurement'' of these Feynman diagrams can be reformulated as a problem of multi-parameter point estimation that takes as input a set of Ramsey-type measurements of the qubit. By numerical simulations that consider leading imperfections in trapped-ion devices, we identify the optimal regimes in which Feynman diagrams could be reconstructed from measured data with low systematic and stochastic errors. We discuss how these ideas can be generalized to finite temperatures via the Schwinger-Keldysh formalism, contributing to a bottom-up approach to probe quantum simulators of lattice field theories by systematically increasing the qubit-oscillator number.
Abstract:We show that recent experiments in hybrid qubit-oscillator devices that measure the phase-space characteristic function of the oscillator via the qubit can be seen through the lens of functional calculus and path integrals, drawing a clear analogy with the generating functional of a quantum field theory. This connection suggests an expansion of the characteristic function in terms of Feynman diagrams, exposing the role of the real-time bosonic propagator, and identifying the external source functions with certain time-dependent couplings that can be controlled experimentally. By applying maximum-likelihood techniques, we show that the ``measurement'' of these Feynman diagrams can be reformulated as a problem of multi-parameter point estimation that takes as input a set of Ramsey-type measurements of the qubit. By numerical simulations that consider leading imperfections in trapped-ion devices, we identify the optimal regimes in which Feynman diagrams could be reconstructed from measured data with low systematic and stochastic errors. We discuss how these ideas can be generalized to finite temperatures via the Schwinger-Keldysh formalism, contributing to a bottom-up approach to probe quantum simulators of lattice field theories by systematically increasing the qubit-oscillator number.
Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); High Energy Physics - Lattice (hep-lat)
arXiv:2411.05092 [quant-ph]
(or arXiv:2411.05092v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2411.05092 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 284 words
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