Optimal Dynamical Decoherence Control of a Qubit
arXiv:0804.2691 · doi:10.1103/PhysRevLett.101.010403
Abstract
A theory of dynamical control by modulation for optimal decoherence reduction is developed. It is based on the non-Markovian Euler-Lagrange equation for the energy-constrained field that minimizes the average dephasing rate of a qubit for any given dephasing spectrum.
6 pages, including 2 figures and an appendix
References in corpus (17)
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Fault-Tolerant Quantum Dynamical Decoupling
- Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
- Charge echo in a Cooper-pair box
- Symmetrizing Evolutions
- Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
- Using Parity Kicks for Decoherence Control
- Control of decoherence: analysis and comparison of three different strategies
- Universal dynamical decoherence control of noisy single-and multi-qubit systems
- Control of Decoherence and Relaxation by Frequency Modulation of Heat Bath
- Empirical Determination of Bang-Bang Operations
- Optimal strategy for a single-qubit gate and trade-off between opposite types of decoherence
- Universal Dephasing Control During Quantum Computation
- Coherence protection by the quantum Zeno effect and non-holonomic control in a Rydberg Rubidium isotope
- Universal Dynamical Control of Local Decoherence for Multipartite and Multilevel Systems
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