Time scaling and quantum speed limit in non-Hermitian Hamiltonians
arXiv:2106.05155 · doi:10.1103/PhysRevA.104.052620
Abstract
We report on a time scaling technique to enhance the performances of quantum protocols in non-Hermitian systems. The considered time scaling involves no extra-couplings and yields a significant enhancement of the quantum fidelity for a comparable amount of resources. We discuss the application of this technique to quantum state transfers in 2 and 3-level open quantum systems. We derive the quantum speed limit in a system governed by a non-Hermitian Hamiltonian. Interestingly, we show that, with an appropriate driving, the time-scaling technique preserves the optimality of the quantum speed with respect to the quantum speed limit while reducing significantly the damping of the quantum state norm.
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- Generalised quantum speed limit for arbitrary time-continuous evolution
- Shortcut to synchronization in classical and quantum systems
- Quantum speed limits in arbitrary phase spaces
- Unified entropies and quantum speed limits for nonunitary dynamics
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