Abstract
We propose a digital-analog quantum simulation of generalized Dicke models with superconducting circuits, including Fermi- Bose condensates, biased and pulsed Dicke models, for all regimes of light-matter coupling. We encode these classes of problems in a set of superconducting qubits coupled with a bosonic mode implemented by a transmission line resonator. Via digital-analog techniques, an efficient quantum simulation can be performed in state-of-the-art circuit quantum electrodynamics platforms, by suitable decomposition into analog qubit-bosonic blocks and collective single-qubit pulses through digital steps. Moreover, just a single global analog block would be needed during the whole protocol in most of the cases, superimposed with fast periodic pulses to rotate and detune the qubits. Therefore, a large number of digital steps may be attained with this approach, providing a reduced digital error. Additionally, the number of gates per digital step does not grow with the number of qubits, rendering the simulation efficient. This strategy paves the way for the scalable digital-analog quantum simulation of many-body dynamics involving bosonic modes and spin degrees of freedom with superconducting circuits.
Highlights
We propose the digital-analog quantum simulation of generalized Dicke models with superconducting circuits, which is a natural extension of ref
Besides estimating in detail the error in a previous scheme for the Dicke model with a DAQS28, we propose a set of novel scenarios
Summarizing, we have proposed a digital-analog quantum simulation of generalized Dicke models with superconducting circuits
Summary
We propose a digital-analog quantum simulation of generalized Dicke models with superconducting circuits, including Fermi- Bose condensates, biased and pulsed Dicke models, for all regimes of lightmatter coupling. After introducing the expressions for the respective quantum simulation dynamics, we obtain bounds and estimate the digital error analytically and numerically to validate the feasibility of the protocols for N transmon qubits[45,46] coupled with a microwave bosonic mode, in a variety of parameter regions, from the weak coupling to the ultrastrong and deep-strong coupling regimes This DAQS of the Dicke model and its generalizations are free from raised drawbacks presented by the square of the electromagnetic vector potential, A2, in atomic systems or ab initio implementations of the Dicke model in superconducting circuits[47,48]. The digital-analog approach to quantum simulations may enable the study of mesoscopic many-body quantum systems in the near future, allowing us to progress towards the aimed-for quantum supremacy
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