Open-loop quantum control of small-size networks for high-order cumulants and cross-correlations sensing
arXiv:2401.05766 · doi:10.1038/s41598-024-67503-x
Abstract
Quantum control techniques represent one of the most efficient tools to attain high-fidelity quantum operations and a convenient approach for quantum sensing and quantum noise spectroscopy. In this work, we investigate dynamical decoupling while processing an entangling two-qubit gate based on an Ising-xx interaction, each qubit being affected by pure dephasing classical correlated 1/ f -noises. To evaluate the gate error, we used the Magnus expansion introducing generalized filter functions that describe decoupling while processing and allow us to derive an approximate analytic expression as a hierarchy of nested integrals of noise cumulants. The error is separated in contributions of Gaussian and non-Gaussian noise, the corresponding generalized filter functions being calculated up to the fourth order. By exploiting the properties of selected pulse sequences, we show that it is possible to extract the second-order statistics (spectrum and cross-spectrum) and to highlight non-Gaussian features contained in the fourth-order cumulant. We discuss the applicability of these results to state-of-the-art small networks based on solid-state platforms.
arXiv comment19 pages, 7 figures
References in corpus (67)
- Quantum Computing in the NISQ era and beyond
- Quantum sensing
- Charge insensitive qubit design derived from the Cooper pair box
- Dynamical Decoupling of Open Quantum Systems
- Manipulating the Quantum State of an Electrical Circuit
- Dynamical suppression of decoherence in two-state quantum systems
- Superconducting Qubits: Current State of Play
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Universal dynamical decoupling of a single solid-state spin from a spin bath
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Optimized Dynamical Decoupling in a Model Quantum Memory
- Building logical qubits in a superconducting quantum computing system
- 1/f noise: implications for solid-state quantum information
- Decoherence of flux qubits due to 1/f flux noise
- Semiconductor Qubits In Practice
- Unification of Dynamical Decoupling and the Quantum Zeno Effect
- Decoherence and 1/f noise in Josephson qubits
- Dynamical decoupling noise spectroscopy
- Multi-parameter Quantum Metrology
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- 1/f Flux Noise in Josephson Phase Qubits
- Scaling of Dynamical Decoupling for Spin Qubits
- Low-frequency noise as a source of dephasing of a qubit
- Dynamical decoupling sequence construction as a filter-design problem
- Non-Gaussian low-frequency noise as a source of qubit decoherence
- Dephasing of a superconducting flux qubit
- Rotating-frame relaxation as a noise spectrum analyzer of a superconducting qubit undergoing driven evolution
- Qubit noise spectroscopy for non-Gaussian dephasing environments
- Experimental Uhrig Dynamical Decoupling using Trapped Ions
- Experimental noise filtering by quantum control
- Initial decoherence in solid state qubits
- Arbitrary quantum control of qubits in the presence of universal noise
- Measurement of the Noise Spectrum Using a Multiple-Pulse Sequence
- Multiqubit Spectroscopy of Gaussian Quantum Noise
- Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling
- Spectroscopy of low-frequency noise and its temperature dependence in a superconducting qubit
- Dynamical suppression of 1/f noise processes in qubit systems
- Non-Gaussian noise spectroscopy with a superconducting qubit sensor
- Two-qubit spectroscopy of spatiotemporally correlated quantum noise in superconducting qubits
- Dynamical suppression of telegraph and 1/f noise due to quantum bistable fluctuator
- High-order noise filtering in nontrivial quantum logic gates
- Application of optimal band-limited control protocols to quantum noise sensing
- Entanglement purification and protection in a superconducting quantum network
- Maximizing information on the environment by dynamically controlled qubit probes
- Noise-correlation spectrum for a pair of spin qubits in silicon
- A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies
- Spectroscopy of cross-correlations of environmental noises with two qubits
- Evolution of Flux Noise in Superconducting Qubits with Weak Magnetic Fields
- Optimally band-limited spectroscopy of control noise using a qubit sensor
- Reinforcement learning-enhanced protocols for coherent population-transfer in three-level quantum systems
- Optimal tuning of solid-state quantum gates: A universal two-qubit gate
- Quantum Control in Qutrit Systems using Hybrid Rabi-STIRAP Pulses
- Simultaneous spectral estimation of dephasing and amplitude noise on a qubit sensor via optimally band-limited control
- Spin-boson dynamics beyond conventional perturbation theories
- Dynamics of a qubit coupled to a broadened harmonic mode at finite detuning
- Superconducting qubit manipulated by fast pulses: experimental observation of distinct decoherence regimes
- Ultrastrong coupling probed by Coherent Population Transfer
- Effects of low-frequency noise cross-correlations in coupled superconducting qubits
- The dynamical-decoupling-based spatiotemporal noise spectroscopy
- Trispectrum reconstruction of non-Gaussian noise
- 1/f critical current noise in short ballistic graphene Josephson junctions
- Learning Noise via Dynamical Decoupling of Entangled Qubits
- Resource-efficient digital characterization and control of classical non-Gaussian noise
- Spin-echo entanglement protection from random telegraph noise
- Optimal operating conditions of an entangling two-transmon gate
- 1/f noise in quantum nanoscience
- Second spectrum of charge carrier density fluctuations in graphene due to trapping/detrapping processes