Quantum mechanics and speed limit of ultrafast local control in spin chains
arXiv:1907.12876 · doi:10.1103/PhysRevA.100.063401
Abstract
We study optimization of fidelity for ultrafast transformation of a spin chain via external control of a local exchange coupling. We show that infidelity of such a process can be dramatically decreased by choosing a proper control profile in nonadiabatic time domain, predict main features of this profile analytically, corroborate them numerically with a gradient search algorithm, and discuss the corresponding quantum speed limit. For ultrafast transformations, the qualitative features of the obtained optimal control are system-independent. Moreover, the main restrictions on its shape do not depend on the transformation time and remain valid up to the adiabatic limit. Our results can be applied to control a broad variety of quantum systems.
References in corpus (28)
- Quantum Computation with Quantum Dots
- Coupled quantum dots as quantum gates
- Shortcuts to adiabaticity: concepts, methods, and applications
- Control of quantum phenomena: Past, present, and future
- The maximum speed of dynamical evolution
- Quantum Annealing and Analog Quantum Computation
- Optimal Control at the Quantum Speed Limit
- Chopped random-basis quantum optimization
- Energy-time uncertainty relation for driven quantum systems
- Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
- Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
- Optimal control of open quantum systems: cooperative effects of driving and dissipation
- Communication at the quantum speed limit along a spin chain
- Are there traps in quantum control landscapes?
- Local controllability of quantum networks
- Degrees of controllability for quantum systems and applications to atomic systems
- Speeding up critical system dynamics through optimized evolution
- Nondeterminstic ultrafast ground state cooling of a mechanical resonator
- Long-range entanglement generation via frequent measurements
- On the complexity of controlling quantum many-body dynamics
- Quantum evolution in the stroboscopic limit of repeated measurements
- Measurement-induced chaos and quantum state discrimination in an iterated Tavis-Cummings scheme
- Dynamical invariants in non-Markovian quantum state diffusion equation
- Comment on "Control landscapes are almost always trap free: a geometric assessment"
- Role of control constraints in quantum optimal control
- High-fidelity non-adiabatic cutting and stitching of a spin chain via local control
- Spatial compression of a particle state in a parabolic potential by spin measurements
- Non-adiabatic transformation of a spin-chain geometry via local control
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