Robust population inversion in three-level systems by composite pulses
arXiv:2105.14910 · doi:10.1103/PhysRevA.105.042414
Abstract
In this work, we exploit the idea of composite pulses to achieve robust population inversion in a three-level quantum system. The scheme is based on the modulation of the coupling strength, while the other physical parameters remain unchanged. The composite pulses sequence is designed by vanishing high-order error terms, and can compensate the systematic errors to any desired order. In particular, this scheme keeps a good performance under the disturbance of waveform deformations. This trait ensures that population inversion can be nearly obtained even when the pulse sequence has a short jump delay. As an example, we employ the designed composite pulse sequence to prepare the W state in a robust manner in the superconducting circuits. The numerical results show that the fidelity can still maintain a high level in a decoherence environment.
arXiv comment19 pages, 9 figures
References in corpus (79)
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Silica-on-Silicon Waveguide Quantum Circuits
- Shortcuts to adiabaticity: concepts, methods, and applications
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Landau-Zener-Stuckelberg interferometry
- Training Schrödinger's cat: quantum optimal control
- Shortcut to adiabatic passage in two and three level atoms
- The Flux Qubit Revisited to Enhance Coherence and Reproducibility
- Optimal control technique for Many Body Quantum Systems dynamics
- Chopped random-basis quantum optimization
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Reduced sensitivity to charge noise in semiconductor spin qubits via symmetric operation
- Possible realization of entanglement, logical gates and quantum information transfer with superconducting-quantum-interference-device qubits in cavity QED
- Speeding up adiabatic quantum state transfer by using dressed states
- Adiabatic Elimination in a Lambda System
- Composite pulses for robust universal control of singlet-triplet qubits
- Quantum control gates with weak cross-Kerr nonlinearity
- Signatures of nonlinear cavity optomechanics in the weak coupling regime
- Flux Qubits with Long Coherence Times for Hybrid Quantum Circuits
- Cavity QED with separate photon storage and qubit readout modes
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Speedup for quantum optimal control from automatic differentiation based on graphics processing units
- Deep Reinforcement Learning for Quantum Gate Control
- Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
- Using dark modes for high-fidelity optomechanical quantum state transfer
- Robust control of quantum gates via sequential convex programming
- Characterizing and optimizing qubit coherence based on SQUID geometry
- Robust quantum gates for singlet-triplet spin qubits using composite pulses
- Fast preparation of W states with superconducting quantum interference devices by using dressed states
- Quantum Control of a Single Qubit
- Speeding up critical system dynamics through optimized evolution
- Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits
- Resonantly driven singlet-triplet spin qubit in silicon
- Nonadiabatic holonomic quantum computation with all-resonant control
- A Data-Driven Gradient Algorithm for High-Precision Quantum Control
- Optimized Geometric Quantum Computation with mesoscopic ensemble of Rydberg Atoms
- Optimal Control for the Quantum Simulation of Nuclear Dynamics
- High-fidelity software-defined quantum logic on a superconducting qudit
- Arbitrary state controlled-unitary gate by adiabatic passage
- A decoherence-free subspace in a charge quadrupole qubit
- High-fidelity local addressing of trapped ions and atoms by composite sequences of laser pulses
- Quantum control and the Strocchi map
- Robust Quantum Control in Games: an Adversarial Learning Approach
- Quantum optimal control of multi-level dissipative quantum systems with Reinforcement Learning
- Time-Optimal Universal Control of Two-Level Systems under Strong Driving
- Designing short robust NOT gates for quantum computation
- High-fidelity and Robust Geometric Quantum Gates that Outperform Dynamical Ones
- Efficient quantum gates for individual nuclear spin qubits by indirect control
- Superadiabatic quantum state transfer in spin chains
- Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
- Optimal shortcut approach based on an easily obtained intermediate Hamiltonian
- High-fidelity geometric gate for silicon-based spin qubits
- Optimal control of superconducting gmon qubits using Pontryagin's minimum principle: preparing a maximally entangled state with singular bang-bang protocols
- Robust single-qubit gates by composite pulses in three-level systems
- Chiral resolution by composite Raman pulses
- Optimal Control Theory for Continuous Variable Quantum Gates
- Eliminating Leakage Errors in Hyperfine Qubits
- Hessian-based optimization of constrained quantum control
- Arbitrarily accurate variable rotations on the Bloch sphere by composite pulse sequences
- Detuning-modulated composite pulses for high-fidelity robust quantum control
- Manipulating complex hybrid entanglement and testing multipartite Bell inequalities in a superconducting circuit
- Quantum optimal control using phase-modulated driving fields
- Coherent control techniques for two-state quantum systems: A comparative study
- Exploiting Landscape Geometry to Enhance Quantum Optimal Control
- Robust control of a NOT gate by composite pulses
- Time-optimal control of a dissipative qubit
- Further analysis of some symmetric and antisymmetric composite pulses for tackling pulse strength errors
- Optical Control of a Single Nuclear Spin in the Solid State
- Narrowband and passband composite pulses for variable rotations
- Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
- Pulse sequences for suppressing leakage in single-qubit gate operations
- Composite pulses with errant phases
- rf-SQUID measurements of anomalous Josephson effect
- Arbitrarily accurate twin composite pulse sequences
- Composite pulses for high fidelity population transfer in three-level systems
- High-fidelity composite quantum gates for Raman qubits
- Stochastic optimal control formalism for an open quantum system
- Optimal control of interacting quantum systems based on the first-order Magnus approximation: Application to multiple dipole-dipole coupled molecular rotors