Quantum Phase Tomography of a Strongly Driven Qubit

Abstract

The interference between repeated Landau-Zener transitions in a qubit swept through an avoided level crossing results in Stueckelberg oscillations in qubit magnetization. The resulting oscillatory patterns are a hallmark of the coherent strongly-driven regime in qubits, quantum dots and other two-level systems. The two-dimensional Fourier transforms of these patterns are found to exhibit a family of one-dimensional curves in Fourier space, in agreement with recent observations in a superconducting qubit. We interpret these images in terms of time evolution of the quantum phase of qubit state and show that they can be used to probe dephasing mechanisms in the qubit.

5 pgs, 4 fgs

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Cited by in corpus (51)

• A Quantum Engineer's Guide to Superconducting Qubits
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• Implementing the Quantum von Neumann Architecture with Superconducting Circuits
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Amplitude Spectroscopy of a Solid-State Artificial Atom
• Tunable Quantum Beam Splitters for Coherent Manipulation of a Solid-State Tripartite Qubit System
• The dissipative two-level system under strong ac-driving: a combination of Floquet and Van Vleck perturbation theory
• Characterization of Qubit Dephasing by Landau-Zener Interferometry
• Exactly solvable two-level quantum systems and Landau-Zener interferometry
• Gate-sensing coherent charge oscillations in a silicon field-effect transistor
• Effects of counterrotating interaction on driven tunneling dynamics: coherent destruction of tunneling and Bloch-Siegert shift
• Large-amplitude driving of a superconducting artificial atom: Interferometry, cooling, and amplitude spectroscopy
• Nonequilibrium Landau-Zener-Stuckelberg spectroscopy in a double quantum dot
• Amplitude spectroscopy of two coupled qubits
• Nonadiabatic Dynamics of a Dissipative Two-level System
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Landau-Zener-Stückelberg Interference of Microwave Dressed States of a Superconducting Phase Qubit
• Temperature can enhance coherent oscillations at a Landau-Zener transition
• Qubit interference at avoided crossings: The role of driving shape and bath coupling
• Landau-Zener interference at bichromatic driving
• Amplitude and phase effects in Josephson qubits driven by a biharmonic electromagnetic field
• Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
• Landau-Zener Interference in Multilevel Superconducting Flux Qubits Driven by Large Amplitude Fields
• Observation of coherent oscillation in single-passage Landau-Zener transitions
• Large Amplitude Harmonic Driving of Highly Coherent Flux Qubits
• Dynamic transition in Landau-Zener-Stückelberg interferometry of dissipative systems: the case of the flux qubit
• Amplitude tuning of steady state entanglement in strongly driven coupled qubits
• Quantifying quantum coherence of multiple-charge states in tunable Josephson junctions
• Tuning towards dynamic freezing using a two-rate protocol
• Quantum interference induced by multiple Landau-Zener transitions in a strongly driven rf-SQUID qubit
• Coherent Charge Oscillations in a Bilayer Graphene Double Quantum Dot
• Exact Classification of Landau-Majorana-Stückelberg-Zener Resonances By Floquet Determinants
• Bias-modulated dynamics of a strongly driven two-level system
• Coherent control of localization, entanglement, and state superpositions in a double quantum dot with two electrons
• Maximum population transfer in a periodically driven two-level system
• Control of spectroscopic features of multiphoton transitions in two coupled qubits by driving fields
• Landau-Zener-Stuckelberg interference in a multi-anticrossing system
• Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system
• Single spin Landau-Zener-Stückelberg-Majorana interferometry of Zeeman-split states with strong spin-orbit interaction in a double quantum dot
• Two rate periodic protocol with dynamics driven through many cycles
• Rate-equation approach for multi-level quantum systems
• Revealing the system-bath coupling via Landau-Zener-Stückelberg interferometry in superconducting qubits
• Quantum emulation of coherent backscattering in a system of superconducting qubits
• Interferometry of multi-level systems: rate-equation approach for a charge qudit
• Controllable single spin evolution at sub-harmonics of electric dipole spin resonance enhanced by four-level Landau-Zener-St{ü}ckelberg-Majorana interference
• Majorana path integral for nonequilibrium dynamics of two-level systems
• Order parameter dynamics of the non-linear sigma model in the large $N$ limit
• Landau-Zener transition rates of superconducting qubits and absorption spectrum in quantum dots
• Landau-Zener transition with energy-dependent decay rate of the excited state
• Strong-field molecular alignment mediated by nonadiabatic charge localization
• Efficient steady state entanglement generation in strongly driven coupled qubits