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.
References in corpus (31)
- Non-Hermitian Physics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Shortcuts to adiabaticity: concepts, methods, and applications
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Quantum speed limit for physical processes
- Quantum speed limits in open system dynamics
- Quantum limits to dynamical evolution
- Optimally robust shortcuts to population inversion in two-level quantum systems
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Fast population transfer engineering of three-level systems
- Fast optimal transition between two equilibrium states
- Superradiance Transition in Transport Through Nanosystems
- Kind of entanglement that speeds up quantum evolution
- Fast quasi-adiabatic dynamics
- Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
- On the Connection Between Entanglement and the Speed of Quantum Evolution
- Fast and robust quantum state transfer via a topological chain
- Vibrational mode multiplexing of ultracold atoms
- Experimental realization of a fast controlled-Z gate via a shortcut-to-adiabaticity
- Optimal control of the transport of Bose-Einstein condensates with atom chips
- Fast-forward scaling in a finite-dimensional Hilbert space
- Fast forward of adiabatic spin dynamics of entangled states
- Rapid coherent control of population transfer in lattice systems
- Fast quantum control in dissipative systems using dissipationless solutions
- Fast-forward scaling of atom-molecule conversion in Bose-Einstein condensates
- Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
- Engineering adiabaticity at an avoided crossing with optimal control
- Shortcut to adiabaticity in a Stern-Gerlach apparatus
- Coherent population transfer via state-independent quasi-adiabatic dynamics
Cited by in corpus (6)
- Quantum battery with non-Hermitian charging
- 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
- Mixedness timescale in non-Hermitian quantum systems