Spectral Analysis and Identification of Noises in Quantum Systems

Abstract

In quantum information processing, knowledge of the noise in the system is crucial for high-precision manipulation and tomography of coherent quantum operations. Existing strategies for identifying this noise require the use of additional quantum devices or control pulses. We present a noise-identification method directly based on the system's non-Markovian response of an ensemble measurement to the noise. The noise spectrum is identified by reversing the response relationship in the frequency domain. For illustration, the method is applied to superconducting charge qubits, but it is equally applicable to any type of qubits. We find that the identification strategy recovers the well-known Fermi's golden rule under the lowest-order perturbation approximation, which corresponds to the Markovian limit when the measurement time is much longer than the noise correlation time. Beyond such approximation, it is possible to further improve the precision at the so-called optimal point by incorporating the transient response data in the non-Markovian regime. This method is verified with experimental data from coherent oscillations in a superconducting charge qubit.

9 pages, 5 figures

References in corpus (33)

• Quantum state engineering with Josephson-junction devices
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Introduction to Quantum Noise, Measurement and Amplification
• Manipulating the Quantum State of an Electrical Circuit
• Dynamical suppression of decoherence in two-state quantum systems
• Atomic physics and quantum optics using superconducting circuits
• Superconducting Circuits and Quantum Information
• Prescription for experimental determination of the dynamics of a quantum black box
• Quantum oscillations in two coupled charge qubits
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Natural and artificial atoms for quantum computation
• Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
• Dynamical decoupling noise spectroscopy
• Double Quantum Dots as Detectors of High-Frequency Quantum Noise in Mesoscopic Conductors
• Quantum noise in the Josephson charge qubit
• Realization of quantum process tomography in NMR
• Process tomography of ion trap quantum gates
• Coherent dynamics of a Josephson charge qubit
• Arbitrarily Accurate Dynamical Control in Open Quantum Systems
• Measurement of the Noise Spectrum Using a Multiple-Pulse Sequence
• Rigorous Born Approximation and beyond for the Spin-Boson Model
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Direct Measurement of the System-Environment Coupling as a Tool For Understanding Decoherence and Dynamical Decoupling
• Non-Markovian qubit dynamics in the presence of 1/f noise
• Tomographic measurements on superconducting qubit states
• Non-Markovian effects in the Quantum noise of interacting nanostructures
• Decoherence of a qubit by non-Gaussian noise at an arbitrary working point
• Amplitude spectroscopy of two coupled qubits
• Decoherence of charge qubit coupled to interacting background charges
• Quantum Multiobservable Control
• Quantum decoherence of excitons in a leaky cavity with quasimode
• Phenomenological noise model for superconducting qubits: two-state fluctuators and 1=f noise
• Noise-spectroscopy of multiqubit systems: Determining all their parameters by applying an external classical noise

Cited by in corpus (9)

• Multiqubit Spectroscopy of Gaussian Quantum Noise
• Robust manipulation of superconducting qubits in the presence of fluctuations
• Learning robust control for generating universal quantum gates
• Quantum Zeno and Anti-Zeno probes of noise correlations in photon polarisation
• A gradient algorithm for Hamiltonian identification of open quantum systems
• An inverse-system method for identification of damping rate functions in non-Markovian quantum systems
• Optimal identification of non-Markovian environments for spin chains
• Non-Gaussian features from Excited Squeezed Vacuum State
• Identification of Time-varying in situ Signals in Quantum Circuits