Fast and robust quantum state transfer via a topological chain

Abstract

We propose a fast and robust quantum state transfer protocol employing a Su-Schrieffer-Heeger chain, where the interchain couplings vary in time. Based on simple considerations around the terms involved in the definition of the adiabatic invariant, we construct an exponential time-driving function that successfully takes advantage of resonant effects to speed up the transfer process. Using optimal control theory, we confirm that the proposed time-driving function is close to optimal. To unravel the crucial aspects of our construction, we proceed to a comparison with two other protocols. One where the underlying Su-Schrieffer-Heeger chain is adiabatically time-driven and another where the underlying chain is topologically trivial and resonant effects are at work. By numerically investigating the resilience of each protocol to static noise, we highlight the robustness of the exponential driving.

References in corpus (53)

• Unpaired Majorana fermions in quantum wires
• The Physical Implementation of Quantum Computation
• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Shortcuts to adiabaticity: concepts, methods, and applications
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Optimal Control at the Quantum Speed Limit
• Optimal control technique for Many Body Quantum Systems dynamics
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• Unmodulated spin chains as universal quantum wires
• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Coherent Quantum Transport in Photonic Lattices
• Controlling Correlated Tunneling and Superexchange Interactions with AC-Driven Optical Lattices
• Robust quantum state transfer via topological edge states in superconducting qubit chains
• Adiabatic tracking of quantum many-body dynamics
• Experimental Perfect Quantum State Transfer
• Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• From perfect to fractal transmission in spin chains
• Simulations of Information Transport in Spin Chains
• Scalable quantum computation via local control of only two qubits
• Topological pumping of edge states via adiabatic passage
• Speed limits for quantum gates in multi-qubit systems
• A Faithful Communication Hamiltonian in Photonic Lattices
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• Topological networks for quantum communication between distant qubits
• Optimal state encoding for quantum walks and quantum communication over spin systems
• State transfer in static and dynamic spin chains with disorder
• Automatic spin-chain learning to explore the quantum speed limit
• Landau-Zener topological quantum state transfer
• Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model
• Energetic cost of quantum control protocols
• Fast, high fidelity information transmission through spin chain quantum wires
• Optimized dynamical control of state transfer through noisy spin chains
• Topologically protected localised states in spin chains
• Adiabatic Quantum Transport in a Spin Chain with a Moving Potential
• Heisenberg Spin Bus as a Robust Transmission Line for Perfect State Transfer
• Superadiabatic quantum state transfer in spin chains
• Coherent population transfer in a chain of tunnel coupled quantum dots
• Quantum communication beyond the localization length in disordered spin chains
• Exploiting boundary states of imperfect spin chains for high-fidelity state transfer
• Quantum state transfer in spin chains via shortcuts to adiabaticity
• Robustness of topological corner modes against disorder and application to acoustic networks
• Quantum-state transfer in spin chains via isolated resonance of terminal spins
• Quantum Control via Enhanced Shortcuts to Adiabaticity
• Perfect coherent transfer in an on-chip reconfigurable nanoelectromechanical network
• High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
• Quantum state transfer in the presence of non homogeneous external potentials

Cited by in corpus (11)

• Arbitrary entangled state transfer via a topological qubit chain
• Time scaling and quantum speed limit in non-Hermitian Hamiltonians
• Fast quantum transfer mediated by topological domain walls
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• A spectrum-based shortcut method for topological systems
• Non-Abelian interference of topological edge states
• Optimal transfer of entanglement in oscillator chains in non-Markovian open systems
• Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump