Qubit decoherence under two-axis coupling to low-frequency noises
arXiv:2112.03438 · doi:10.1103/PhysRevB.105.L041303
Abstract
Many solid-state qubit systems are afflicted by low frequency noise mechanisms that operate along two perpendicular axes of the Bloch sphere. Depending on the qubit's control fields, either noise can be longitudinal or transverse to the qubit's quantization axis, thus affecting its dynamics in distinct ways, generally contributing to decoherence that goes beyond pure dephasing. Here we present a theory that provides a unified platform to study dynamics of a qubit subjected to two perpendicular low-frequency noises (assumed to be Gaussian and uncorrelated) under dynamical decoupling pulse sequences. The theory is demonstrated by the commonly encountered case of power-law noise spectra, where approximate analytical results can be obtained.
arXiv comment16 pages, 3 figures
References in corpus (47)
- Quantum sensing
- A Quantum Engineer's Guide to Superconducting Qubits
- Dynamical Decoupling of Open Quantum Systems
- A >99.9%-fidelity quantum-dot spin qubit with coherence limited by charge noise
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Open Quantum Systems. An Introduction
- 1/f noise: implications for solid-state quantum information
- The Flux Qubit Revisited to Enhance Coherence and Reproducibility
- Quantum CNOT Gate for Spins in Silicon
- How to Enhance Dephasing Time in Superconducting Qubits
- Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
- Relaxation, dephasing, and quantum control of electron spins in double quantum dots
- Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
- Charge echo in a Cooper-pair box
- Quantum noise in the Josephson charge qubit
- Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment
- Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
- Self-Consistent Measurement and State Tomography of an Exchange-Only Spin Qubit
- Noise suppression using symmetric exchange gates in spin qubits
- The Resonant Exchange Qubit
- Two-qubit Gate of Combined Single Spin Rotation and Inter-dot Spin Exchange in a Double Quantum Dot
- Singlet-triplet decoherence due to nuclear spins in a double quantum dot
- Scaling of Dynamical Decoupling for Spin Qubits
- Charge fluctuation induced dephasing of exchange coupled spin qubits
- Dynamical decoupling sequence construction as a filter-design problem
- Dephasing of solid-state qubits at optimal points
- Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
- Initial decoherence in solid state qubits
- Low-frequency spin qubit detuning noise in highly purified Si/SiGe
- Multiple-pulse coherence enhancement of solid state spin qubits
- Environmental noise spectroscopy with qubits subjected to dynamical decoupling
- Dephasing of Si spin qubits due to charge noise
- Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
- Notch filtering the nuclear environment of a spin qubit
- Universal phase shift and non-exponential decay of driven single-spin oscillations
- Background charge fluctuation in a GaAs quantum dot device
- Spectrum of the Nuclear Environment for GaAs Spin Qubits
- Anomalous Charge Noise in Superconducting Qubits
- Dynamical decoupling noise spectroscopy at an optimal working point of a qubit
- Decoherence of a qubit by non-Gaussian noise at an arbitrary working point
- Coupling of three-spin qubits to their electric environment
- Decoherence of spin qubits due to a nearby charge fluctuator in gate-defined double dots
- A quadrupolar exchange-only spin qubit
- Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits
- The exchange-only singlet-only spin qubit
- Thermal properties of charge noise sources
- Dynamical decoupling of a singlet-triplet qubit afflicted by a charge fluctuator