Abstract
We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger (SSH) chain, which exploits the use of next-to-nearest-neighbour (NNN) interactions. The proposed quantum protocol combines a rapid change in one of the topological edge states, induced by a modulation of nearest-neighbour interactions, with a fine tuning of NNN interactions operating a counter-adiabatic driving. The latter cancels nonadiabatic excitations from the edge state multiplicity to the energy bands. We use this shortcut technique for topological pumping of edge states on a single dimerized chain and also through an interface that connects two dimerized Su-Schrieffer-Heeger chains with different topological order. We investigate the robustness of this protocol against both uncorrelated and correlated disorder, and demonstrate its strong resilience to the former in comparison to traditional adiabatic protocols for topological chains. We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.
Highlights
A promising route to develop quantum information architectures, resilient against decoherence, is to implement the operation on a subset of quantum states that benefit from a natural protection—for instance, when they belong to a specific symmetry class which is immune to decoherence [1]
In addition to uncorrelated Gaussian disorder, we investigated the influence of correlated disorder of on-site energies on the fidelity of the transfer protocols for the SSH chain
We have presented an excitation transfer protocol in SSH chains based on a fast evolution of a topological eigenstate, balanced by a counterdiabatic driving through a dynamical control of NNN interactions
Summary
A promising route to develop quantum information architectures, resilient against decoherence, is to implement the operation on a subset of quantum states that benefit from a natural protection—for instance, when they belong to a specific symmetry class which is immune to decoherence [1]. A strong motivation to develop quantum computation on a topological register is the intrinsic resilience against stochastic perturbations In this line, a key feature of toplogical quantum state transfer protocols should be to preserve this robustness and to be resilient against possible imperfections in the dynamical control parameters as well as against local and long-range parasitic fluctuations affecting the spin chain. A key feature of toplogical quantum state transfer protocols should be to preserve this robustness and to be resilient against possible imperfections in the dynamical control parameters as well as against local and long-range parasitic fluctuations affecting the spin chain For this purpose, adiabatic protocols have been considered in in single-dimerized spin chains with an even [14] or odd [15] number of sites, as well as in SSH chains involving two segment of different topologies [16].
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