Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED

Abstract

We present an experimentally feasible scheme to implement holonomic quantum computation in the ultrastrong-coupling regime of light-matter interaction. The large anharmonicity and the Z2 symmetry of the quantum Rabi model allow us to build an effective three-level Λ-structured artificial atom for quantum computation. The proposed physical implementation includes two gradiometric flux qubits and two microwave resonators where single-qubit gates are realized by a two-tone driving on one physical qubit, and a two-qubit gate is achieved with a time-dependent coupling between the field quadratures of both resonators. Our work paves the way for scalable holonomic quantum computation in ultrastrongly coupled systems.

9 pages, 6 figures

References in corpus (12)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Scattering in the ultrastrong regime: nonlinear optics with one photon
• Scalable quantum memory in the ultrastrong coupling regime
• Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers
• Parity-dependent State Engineering and Tomography in the ultrastrong coupling regime
• Coupling superconducting flux qubits at optimal point via dynamic decoupling with the quantum bus
• Gradiometric flux qubits with tunable gap

Cited by in corpus (50)

• Ultrastrong coupling between light and matter
• Microwave photonics with superconducting quantum circuits
• Ultrastrong coupling regimes of light-matter interaction
• Resolution of Gauge Ambiguities in Ultrastrong-Coupling Cavity QED
• Enhancing cavity QED via anti-squeezing: synthetic ultra-strong coupling
• Absorption and Photoluminescence in Organic Cavity QED
• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Spectral Classification of Coupling Regimes in the Quantum Rabi Model
• Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
• Nonadiabatic holonomic quantum computation with dressed-state qubits
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Composite nonadiabatic holonomic quantum computation
• Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
• General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
• Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
• Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
• Nonadiabatic holonomic quantum computation with Rydberg superatoms
• Path-shortening realizations of nonadiabatic holonomic gates
• Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit
• Nonadiabatic holonomic multiqubit controlled gates
• Harvesting Multiqubit Entanglement from Ultrastrong Interactions in Circuit Quantum Electrodynamics
• Chiral waveguide optomechanics: first order quantum phase transitions with ${\mathbb{Z}}_3$ symmetry breaking/
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
• Robust paths to realize nonadiabatic holonomic gates
• Dynamically Corrected Nonadiabatic Holonomic Quantum Gates
• Simulating ultrastrong-coupling processes breaking parity conservation in Jaynes-Cummings systems
• Metastability in the driven-dissipative Rabi model
• Photon-Dressed Bloch-Siegert Shift in an Ultrastrongly Coupled Circuit Quantum Electrodynamical System
• Ultrastrong tunable coupler between superconducting LC resonators
• Topology detection in cavity QED
• Realizing nonadiabatic holonomic quantum computation beyond the three-level setting
• Resilience of the superradiant phase against ${\mathbf{A}}^2$ effects in the quantum Rabi dimer
• Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
• Variational generalized rotating-wave approximation in the two-qubit quantum Rabi model
• Spin-1 models in the ultrastrong coupling regime of circuit QED
• Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving
• Holonomic Gates in Pseudo-Hermitian Quantum Systems
• Nonadiabatic holonomic quantum computation based on commutation relation
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Quantum phase transitions and cat states in cavity-coupled quantum dots
• Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Coherence behavior of strongly coupled bosonic modes
• Generation of higher dimensional entangled states in quantum Rabi systems
• Embedded Quantum Correlations in thermalized quantum Rabi systems
• Parity-assisted generation of nonclassical states of light in circuit quantum electrodynamics
• Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
• Detection of emitter-resonator coupling strength in quantum Rabi model via an auxiliary resonator
• Machine-learning-inspired quantum control in many-body dynamics
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation