Relaxation Optimized Transfer of Spin Order in Ising Spin Chains
arXiv:quant-ph/0505116 · doi:10.1103/PhysRevA.72.062320
Abstract
In this manuscript, we present relaxation optimized methods for transfer of bilinear spin correlations along Ising spin chains. These relaxation optimized methods can be used as a building block for transfer of polarization between distant spins on a spin chain. Compared to standard techniques, significant reduction in relaxation losses is achieved by these optimized methods when transverse relaxation rates are much larger than the longitudinal relaxation rates and comparable to couplings between spins. We derive an upper bound on the efficiency of transfer of spin order along a chain of spins in the presence of relaxation and show that this bound can be approached by relaxation optimized pulse sequences presented in the paper.
7 pages, 7 figures
References in corpus (2)
Cited by in corpus (16)
- Training Schrödinger's cat: quantum optimal control
- Quantum Computing with NMR
- Frictionless atom cooling in harmonic traps: a time-optimal approach
- Speeding up and slowing down the relaxation of a qubit by optimal control
- Broadband 180 degree universal rotation pulses for NMR spectroscopy designed by optimal control
- Efficient Generation of the Triplet Bell State Between Coupled Spins Using Transitionless Quantum Driving and Optimal Control
- Optimal Efficiency of a Noisy Quantum Heat Engine
- Efficiency of quantum controlled non-Markovian thermalization
- Time-optimal selective pulses of two uncoupled spin 1/2 particles
- Multiple-spin coherence transfer in linear Ising spin chains and beyond: numerically-optimized pulses and experiments
- Optimal Design of Minimum Energy Pulses for Bloch Equations in the case of Dominant Transverse Relaxation
- Time-Optimal Generation of Cluster States
- Time-optimal polarization transfer from an electron spin to a nuclear spin
- Application of the Pontryagin Maximum Principle to the robust time-optimal control of two-level quantum systems
- Minimum-Time Quantum Transport with Bounded Trap Velocity
- Constrained Minimum-Energy Optimal Control of the Dissipative Bloch Equations