Quantum decoherence of a charge qubit in a spin-fermion model

Abstract

We consider quantum decoherence in solid-state systems by studying the transverse dynamics of a single qubit interacting with a fermionic bath and driven by external pulses. Our interest is in investigating the extent to which the lost coherence can be restored by the application of external pulses to the qubit. We show that the qubit evolution under various pulse sequences can be mapped onto Keldysh path integrals. This approach allows a simple diagrammatic treatment of different bath excitation processes contributing to qubit decoherence. We apply this theory to the evolution of the qubit coupled to the Andreev fluctuator bath in the context of widely studied superconducting qubits. We show that charge fluctuations within the Andreev-fluctuator model lead to a 1/f noise spectrum with a characteristic temperature depedence. We discuss the strategy for suppression of decoherence by the application of higher-order (beyond spin echo) pulse sequences.

7 pages, 4 figures; extended version (accepted to Phys. Rev. B)

References in corpus (29)

• Quantum state engineering with Josephson-junction devices
• Manipulating the Quantum State of an Electrical Circuit
• Dynamical suppression of decoherence in two-state quantum systems
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Decoherence in a superconducting quantum bit circuit
• Fault-Tolerant Quantum Dynamical Decoupling
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• How to Enhance Dephasing Time in Superconducting Qubits
• Observation of Berry's Phase in a Solid State Qubit
• Decoherence and 1/f noise in Josephson qubits
• 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
• Electron spin evolution induced by interaction with nuclei in a quantum dot
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Low- and high-frequency noise from coherent two-level systems
• Dephasing of solid-state qubits at optimal points
• Full counting statistics of a general quantum mechanical variable
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Dynamical suppression of 1/f noise processes in qubit systems
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Dynamical suppression of telegraph and 1/f noise due to quantum bistable fluctuator
• Temperature square dependence of the low frequency 1/f charge noise in the Josephson junction qubits
• Quantum two level systems and Kondo-like traps as possible sources of decoherence in superconducting qubits
• Models of environment and T_1 relaxation in Josephson Charge Qubits
• Low-Temperature Decoherence of Qubit Coupled to Background Charges
• Advances in decoherence control
• Non-Equilibrium Quantum Dissipation
• Ohmic and step noise from a single trapping center hybridized with a Fermi sea

Cited by in corpus (34)

• 1/f noise: implications for solid-state quantum information
• Towards understanding two-level-systems in amorphous solids -- Insights from quantum circuits
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Decoherence in qubits due to low-frequency noise
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling
• Path-integral simulations with fermionic and bosonic reservoirs: Transport and dissipation in molecular electronic junctions
• Non-equilibrium spin-boson model: counting statistics and the heat exchange fluctuation theorem
• TLS Dynamics in a Superconducting Qubit Due to Background Ionizing Radiation
• Polaronic model of Two Level Systems in amorphous solids
• Dephasing of electron spin qubits due to their interaction with nuclei in quantum dots
• Master equation approach to the central spin decoherence problem: the uniform coupling model and the role of projection operators
• Identification of structural motifs as tunneling two-level systems in amorphous alumina at low temperatures
• Microscopic model of critical current noise in Josephson-junction qubits: Subgap resonances and Andreev bound states
• Spin echo decay at low magnetic fields in a nuclear spin bath
• Qubit-mediated energy transfer between thermal reservoirs: beyond Markovian Master equation
• Chaos can act as a decoherence suppressor
• Looping on the Bloch sphere: Oscillatory effects in dephasing of qubits subject to broad-spectrum noise
• Electron transport in nanoscale junctions with local anharmonic modes
• Diagrammatic approach to orbital quantum impurities interacting with a many-particle environment
• Observation of giant two-level systems in a granular superconductor
• Non-Markovian incoherent quantum dynamics of a two-state system
• Effect of a gap on the decoherence of a qubit
• Dephasing of planar Ge hole spin qubits due to 1/$\text{f}$ charge noise
• The excitation operator approach to non-Markovian dynamics of quantum impurity models in the Kondo regime
• High-fidelity two-qubit gates via dynamical decoupling of local 1/f noise at optimal point
• Unified linear response theory of quantum electronic circuits
• Dissipative features of the driven spin-fermion system
• Effect of a magnetic field on molecule-solvent angular momentum transfer
• Fröhlich-coupled qubits interacting with fermionic baths
• Quantifying electron-nuclear spin entanglement dynamics in central-spin systems using one-tangles