Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
arXiv:2006.09936 · doi:10.1103/PhysRevResearch.2.033475
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.
arXiv comment9 pages, 9 figures
References in corpus (29)
- Unpaired Majorana fermions in quantum wires
- Topological States and Adiabatic Pumping in Quasicrystals
- Shortcuts to adiabaticity: concepts, methods, and applications
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Lasing in topological edge states of a 1D lattice
- Shortcut to adiabatic passage in two and three level atoms
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
- Robust quantum state transfer via topological edge states in superconducting qubit chains
- Experimental Perfect Quantum State Transfer
- Topological pumping of edge states via adiabatic passage
- Demonstrating an in-situ topological band transition in cylindrical granular chains
- Light transport and localization in two-dimensional correlated disorder
- Routing quantum information in spin chains
- Theory of 2D transport in graphene for correlated disorder
- Topological networks for quantum communication between distant qubits
- Landau-Zener topological quantum state transfer
- Long-range doublon transfer in a dimer chain induced by topology and ac fields
- Topologically protected localised states in spin chains
- Superadiabatic quantum state transfer in spin chains
- Quantum state transfer in spin chains via shortcuts to adiabaticity
- Reverse engineering protocols for controlling spin dynamics
- Shortcuts to adiabaticity in the presence of a continuum: applications to itinerant quantum state transfer
- High-fidelity multistate STIRAP assisted by shortcut fields
- Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
- Shortcut to adiabaticity in a Stern-Gerlach apparatus
- Localization properties and high-fidelity state transfer in electronic hopping models with correlated disorder
- Robust Bulk States
Cited by in corpus (26)
- Fast and robust quantum state transfer via a topological chain
- Arbitrary entangled state transfer via a topological qubit chain
- Large-scale GHZ states through topologically protected zero-energy mode in a superconducting qutrit-resonator chain
- Time scaling and quantum speed limit in non-Hermitian Hamiltonians
- Fast, robust and amplified transfer of topological edge modes on time-varying mechanical chain
- Coherent ground-state transport of neutral atoms
- Fast quantum transfer mediated by topological domain walls
- Topological phase transitions at finite temperature
- Topology detection in cavity QED
- Fast and robust magnon transport in a spin chain
- Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
- Optimizing edge state transfer in a Su-Schrieffer-Heeger chain via hybrid analog-digital strategies
- Quantum transport in a one-dimensional quasicrystal with mobility edges
- Subradiant edge states in an atom chain with waveguide-mediated hopping
- Floquet engineering of continuous-time quantum walks: towards the simulation of complex and next-to-nearest neighbor couplings
- Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
- Dynamical uncertainty propagation with noisy quantum parameters
- Time-optimal transfer of the quantum state in long qubit arrays
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Optimizing state transfer in a three-qubit array via quantum brachistochrone method
- Multipartite entanglement distribution in a topological photonic network
- Boosting Topological Zero Modes Using Elastomer Waveguide Arrays
- A spectrum-based shortcut method for topological systems
- Constructing qubit edge states by inverse-designing the electromagnetic environment
- Electrical control of the metal-insulator transition in a one dimensional device
- Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump