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.

arXiv comment9 pages, 6 figures

References in corpus (40)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• Holonomic Quantum Computation
• On the Integrability of the Rabi Model
• Geometric quantum computation with NMR
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Coherent dynamics of a flux qubit coupled to a harmonic oscillator
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Quantum vacuum properties of the intersubband cavity polariton field
• Ultrastrong coupling of the cyclotron transition of a two-dimensional electron gas to a THz metamaterial
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Quantum Phase Transition and Universal Dynamics in the Rabi model
• Experimental Realization of Nonadiabatic Holonomic Quantum Computation
• Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
• Non-adiabatic holonomic quantum computation
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Implementation of universal quantum gates based on nonadiabatic geometric phases
• Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
• Experimental Realization of Non-Abelian Geometric Gates
• Photon Blockade in the Ultrastrong Coupling Regime
• Non-adiabatic conditional geometric phase shift with NMR
• Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Ultrafast Quantum Gates in Circuit QED
• Dynamical Casimir effect entangles artificial atoms
• Multiphoton Quantum Rabi Oscillations in Ultrastrong Cavity QED
• Scattering in the ultrastrong regime: nonlinear optics with one photon
• Holonomic quantum computation with neutral atoms
• Protected quantum computation with multiple resonators in ultrastrong coupling circuit QED
• Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
• Scalable quantum memory in the ultrastrong coupling regime
• Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics
• 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
• Fast entanglement of two charge-phase qubits through nonadiabatic coupling to a large junction
• Validity of resonant two-qubit gates in the ultrastrong coupling regime of circuit QED

Cited by in corpus (51)

• 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
• Nonadiabatic holonomic quantum computation with all-resonant control
• Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
• Composite nonadiabatic holonomic quantum computation
• 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
• Harvesting Multiqubit Entanglement from Ultrastrong Interactions in Circuit Quantum Electrodynamics
• Nonadiabatic holonomic multiqubit controlled gates
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
• Chiral waveguide optomechanics: first order quantum phase transitions with ${\mathbb{Z}}_3$ symmetry breaking/
• 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
• Topology detection in cavity QED
• Ultrastrong tunable coupler between superconducting LC resonators
• 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
• Nonadiabatic holonomic quantum computation based on commutation relation
• Holonomic Gates in Pseudo-Hermitian Quantum Systems
• Quantum phase transitions and cat states in cavity-coupled quantum dots
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• 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
• Parity-assisted generation of nonclassical states of light in circuit quantum electrodynamics
• Embedded Quantum Correlations in thermalized quantum Rabi systems
• Detection of emitter-resonator coupling strength in quantum Rabi model via an auxiliary resonator
• Robust Nonadiabatic Holonomic Quantum Gates on Decoherence-Protected Qubits
• Machine-learning-inspired quantum control in many-body dynamics
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation