A noise model for trapped-ion multi-qubit gates shows that dominant error channels remain compatible with scalable rotated-surface-code quantum error correction when realistic experimental parameters are used.
Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
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abstract
The open quantum Rabi model describes a two-level system coupled to a harmonic oscillator. A Gaussian phase transition for the nonequilibrium steady states has been predicted when the bosonic mode is soft and subject to damping. We show that oscillator dephasing is a relevant perturbation, which leads to a non-Gaussian phase transition and an intriguing cascade of instabilities for $k$-th order bosonic operators, as well as a jump in the steady-state qubit polarization. For the soft-mode limit, the equations of motion form a closed hierarchy and spectral properties can be efficiently studied. To this purpose, we establish a fruitful connection to non-Hermitian Hamiltonians. The results for the phase diagram, stability boundaries, and relevant observables are based on mean-field analysis, exact diagonalization, perturbation theory, and Keldysh field theory.
fields
quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A theoretical scheme using Bogoliubov transformations shows that off-resonance energies in driven coupled oscillators grow unbounded while on-resonance energies remain bounded and periodic, with explicit Husimi functions derived for coherent and number states.
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Trapped-Ion Multiqubit Gates are Compatible with Scalable Quantum Error Correction
A noise model for trapped-ion multi-qubit gates shows that dominant error channels remain compatible with scalable rotated-surface-code quantum error correction when realistic experimental parameters are used.
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Quantum Dynamics of Interacting dissipative oscillators: A novel scheme
A theoretical scheme using Bogoliubov transformations shows that off-resonance energies in driven coupled oscillators grow unbounded while on-resonance energies remain bounded and periodic, with explicit Husimi functions derived for coherent and number states.