Unifying Floquet theory of longitudinal and dispersive readout

Abstract

We devise a Floquet theory of longitudinal and dispersive readout in circuit QED. By studying qubits coupled to cavity photons and driven at the resonance frequency of the cavity ${\omega }_{\mathrm{r}}$, we establish a universal connection between the qubit AC Stark shift and the longitudinal and dispersive coupling to photons. We find that the longitudinal coupling $g_{\parallel }$ is controlled by the slope of the AC Stark shift as function of the driving strength $A_{\mathrm{q}}$, while the dispersive shift $\chi$ depends on its curvature. The two quantities become proportional to each other in the weak drive limit ($A_{\mathrm{q}}\to 0$). Our approach unifies the adiabatic limit (${\omega }_{\mathrm{r}}\to 0$) -- where $g_{\parallel }$ is generated by the static spectrum curvature (or quantum capacitance) -- with the diabatic one, where the static spectrum plays no role. We derive analytical results supported by exact numerical simulations. We apply them to superconducting and spin-hybrid cQED systems, showcasing the flexibility of faster-than-dispersive longitudinal readout.

arXiv comment5 pages + supplementary material (14 pages)

References in corpus (58)

• Charge insensitive qubit design derived from the Cooper pair box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Circuit Quantum Electrodynamics
• Landau-Zener-Stuckelberg interferometry
• Fluxonium: single Cooper pair circuit free of charge offsets
• Coherent manipulation of electronic states in a double quantum dot
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Circuit Quantum Electrodynamics with a Spin Qubit
• A Coherent Spin-Photon Interface in Silicon
• Strong spin-photon coupling in silicon
• Quantum Coherence in a One-Electron Semiconductor Charge Qubit
• Dipole coupling of a double quantum dot to a microwave resonator
• Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
• Mesoscopic Cavity Quantum Electrodynamics with Quantum Dots
• Long-Range Microwave Mediated Interactions Between Electron Spins
• Coherent coupling of a single spin to microwave cavity photons
• Fast quantum non-demolition readout from longitudinal qubit-oscillator interaction
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Strong coupling of a spin qubit to a superconducting stripline cavity
• Microwave-driven coherent operations of a semiconductor quantum dot charge qubit
• Ultra-long distance interaction between spin qubits
• Gated conditional displacement readout of superconducting qubits
• Observation of Floquet states in a strongly driven artificial atom
• Strong coupling between a photon and a hole spin in silicon
• Coherent Quantum Oscillations in a Silicon Charge Qubit
• The dissipative two-level system under strong ac-driving: a combination of Floquet and Van Vleck perturbation theory
• Dynamics of Transmon Ionization
• A spin quantum bit with ferromagnetic contacts for circuit QED
• Scqubits: a Python package for superconducting qubits
• Circuit design implementing longitudinal coupling: a scalable scheme for superconducting qubits
• Strong coupling of spin qubits to a transmission line resonator
• Fast high fidelity quantum non-demolition qubit readout via a non-perturbative cross-Kerr coupling
• Coupling a single electron spin to a microwave resonator: Controlling transverse and longitudinal couplings
• Nonadiabatic quantum control of a semiconductor charge qubit
• Two-qubit logic between distant spins in silicon
• Realizing a Circuit Analog of an Optomechanical System with Longitudinally Coupled Superconducting Resonators
• Floquet spectroscopy of a strongly driven quantum dot charge qubit with a microwave resonator
• In-situ Tuning of the Electric Dipole Strength of a Double Dot Charge Qubit: Charge Noise Protection and Ultra Strong Coupling
• Coupling Two Spin Qubits with a High-Impedance Resonator
• Inductively shunted transmon qubit with tunable transverse and longitudinal coupling
• A natural heavy-hole flopping mode qubit in germanium
• Dynamics of a two-level system under strong driving: quantum gate optimization based on floquet theory
• Qubit Measurement by Multichannel Driving
• From adiabatic to dispersive readout of quantum circuits
• Dispersive readout: Universal theory beyond the rotating-wave approximation
• Parametric longitudinal coupling between a high-impedance superconducting resonator and a semiconductor quantum dot singlet-triplet spin qubit
• Tunable hole spin-photon interaction based on g-matrix modulation
• On-chip microwave filters for high-impedance resonators with gate-defined quantum dots
• Quantum-limited measurement of spin qubits via curvature coupling to a cavity
• Dispersive readout of adiabatic phases
• Strong hole-photon coupling in planar Ge for probing charge degree and strongly-correlated states
• Longitudinal coupling between a Si/SiGe quantum dot and an off-chip TiN resonator
• Cloaking a qubit in a cavity
• Modulated longitudinal gates on encoded spin-qubits via curvature couplings to a superconducting cavity
• Coupling of hole double quantum dot in planar germanium to a microwave cavity
• Qubit readouts enabled by qubit cloaking

Cited by in corpus (5)

• Strong Intrinsic Longitudinal Coupling in Circuit Quantum Electrodynamics
• Parametric longitudinal coupling of a semiconductor charge qubit and a RF resonator
• Parametric Drive of a Double Quantum Dot in a Cavity
• Floquet-engineered fast SNAP gates in weakly coupled circuit-QED systems
• Switchable spin-photon coupling with hole spins in single-quantum dots