Characterization of control noise effects in optimal quantum unitary dynamics
arXiv:1405.5950 · doi:10.1103/PhysRevA.90.062309
Abstract
This work develops measures for quantifying the effects of field noise upon targeted unitary transformations. Robustness to noise is assessed in the framework of the quantum control landscape, which is the mapping from the control to the unitary transformation performance measure (quantum gate fidelity). Within that framework, a new geometric interpretation of stochastic noise effects naturally arises, where more robust optimal controls are associated with regions of small overlap between landscape curvature and the noise correlation function. Numerical simulations of this overlap in the context of quantum information processing reveal distinct noise spectral regimes that better support robust control solutions. This perspective shows the dual importance of both noise statistics and the control form for robustness, thereby opening up new avenues of investigation on how to mitigate noise effects in quantum systems.
arXiv comment11 pages, 4 figures
References in corpus (27)
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Control of quantum phenomena: Past, present, and future
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
- Optimal control theory for unitary transformations
- Dynamically Error-Corrected Gates for Universal Quantum Computation
- Arbitrarily accurate composite pulses
- Arbitrary quantum control of qubits in the presence of universal noise
- Are there traps in quantum control landscapes?
- Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
- Robust control of quantum gates via sequential convex programming
- Robustness of composite pulses to time-dependent control noise
- Exploring constrained quantum control landscapes
- Exploring the trade-off between fidelity- and time-optimal control of quantum unitary transformations
- Automated Synthesis of Dynamically Corrected Quantum Gates
- Search complexity and resource scaling for the quantum optimal control of unitary transformations
- Local quantum control of Heisenberg spin chains
- Exploring Quantum Control Landscapes: Topology, Features, and Optimization Scaling
- Coherent Control of Quantum Dynamics with Sequences of Unitary Phase-Kick Pulses
- Comment on "Are There Traps in Quantum Control Landscapes?"
- Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit
- Quantum control with noisy fields: computational complexity vs. sensitivity to noise
- Effect of system level structure and spectral distribution of the environment on the decoherence rate
- Noise and Controllability: suppression of controllability in large quantum systems
- Robustness of Controlled Quantum Dynamics
- Errors in quantum optimal control and strategy for the search of easily implementable control pulses
Cited by in corpus (17)
- Learning Robust and High-Precision Quantum Controls
- From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms
- Robust Learning Control Design for Quantum Unitary Transformations
- Accounting for Classical Hardware in the Control of Quantum Devices
- GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
- Robust and efficient in situ quantum control
- Robust single-qubit gates by composite pulses in three-level systems
- Hessian-based optimization of constrained quantum control
- Searching for quantum optimal controls under severe constraints
- Robust Control of Quantum Dynamics under Input and Parameter Uncertainty
- Statistical Inference with Quantum Measurements: Methodologies for Nitrogen Vacancy Centers in Diamond
- Control landscape for ultrafast manipulation by a qubit
- Statistically Characterising Robustness and Fidelity of Quantum Controls and Quantum Control Algorithms
- Limits of optimal control yields achievable with quantum controllers
- Dynamics of discrete-time quantum walk with time-correlated unitary noise
- Spin-qubit noise spectroscopy from randomized benchmarking by supervised learning
- Bringing Quantum Systems under Control: A Tutorial Invitation to Quantum Computing and Its Relation to Bilinear Control Systems