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.

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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