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arXiv:2009.09164 · Physical Review A

Fast and robust quantum state transfer via a topological chain

Nikolaos E. Palaiodimopoulos, Ioannis Brouzos, F. Κ. Diakonos, Georgios Theocharis

Published May 10, 2021• 69 citations
arXivHTMLPDF

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 approaches: 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.

DOI
10.1103/physreva.103.052409

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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 approaches: 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.
We propose a fast, robust, and long-distance quantum state transfer (QST) protocol via a splicing Su-Schrieffer-Heeger (SSH) chain, where the interchain couplings vary with the change in the phase parameter and the single or splicing SSH chain can be designed by adjusting it. It is found that the existence of a zero-energy interface state (IFS) not only can improve the speed of QST but also can realize long-distance QST. Furthermore, we give the phase diagram in the parameter space of the transfer time TTT and the system's size NNN, where the different regions that can successfully implement QST via a single- or splicing-SSH-chain protocol are given. Therefore, we can choose the optimal QST protocol by adjusting only the phase parameter for different transfer times and system sizes. By numerically investigating the resilience of each protocol to static disorder, we reveal that the splicing-SSH-chain protocol is quite robust to both diagonal and off-diagonal disorders and clearly outperforms the single-SSH-chain protocol. By considering the environmental influence, rendering the Hamiltonian non-Hermitian by allowing energy to radiate away, our work shows that the QST protocol assisted by zero-energy IFS is more robust than previously expected and also outperforms the single-SSH-chain protocol.
We present a fast and robust protocol for realizing topological quantum state transfer in a dimeric Su-Schrieffer-Heeger spin chain. By giving a more general condition sufficient for the resonant adiabatic evolution, we develop a method of constructing time-driving functions for topological quantum state transfer, which makes it possible to shorten the needed operation time via resonant adiabatic passage between topologically protected edge states. Compared with previous protocols, our protocol can shorten the operation time appreciably while maintaining robustness against disorder in the spin chain, thereby avoiding decoherence resulting from long-running evolution and increasing transmission efficiency. Numerical simulations demonstrate that our protocol possesses excellent robustness and scalability. Our results provide a promising route for the realization of fast and robust quantum state transfer in spin chain systems.
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-neighbor (NNN) interactions.The proposed quantum protocol combines a rapid change in the topological edge state, induced by a modulation of nearest-neighbor interactions, with a fine-tuning of NNN interactions operating a counterdiabatic driving which cancels nonadiabatic excitations.We use this shortcut technique on the edge states in order to obtain a quantum state transfer 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.We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.In comparison to traditional adiabatic methods, the short transfer time enabled by the NNN protocol in the SSH chains drastically improves the fidelity of the quantum state transfer.
The Su-Schrieffer-Heeger (SSH) chain, which serves as a paradigmatic model for comprehending topological phases and their associated edge states, plays an essential role in advancing our understanding of quantum materials and quantum information processing and technology. In this paper, we introduce a hybrid analog-digital protocol designed for the nonadiabatic yet high-fidelity transfer of edge states in an SSH chain, featuring two sublattices, A and B. The core of our approach lies in harnessing the approximate time-dependent counterdiabatic (CD) interaction, derived from adiabatic gauge potentials. However, to enhance transfer fidelity, particularly in long-distance chains, higher-order nested commutators become crucial. To simplify the experimental implementation and navigate computational complexities, we identify the next-to-nearest-neighbor hopping terms between sublattice A sites as dominant CD driving and further optimize them by using variational quantum circuits. Through digital quantum simulation, our protocol showcases the capability to achieve rapid and robust solutions, even in the presence of disorder. This analog-digital transfer protocol, an extension of quantum control methodology, establishes a robust framework for edge-state transfer. Importantly, the optimal CD driving identified can be seamlessly implemented across various quantum registers, highlighting the versatility of our approach.
The Su–Schrieffer–Heeger (SSH) model, commonly used for robust state transfers through topologically protected edge pumping, has been generalized and exploited to engineer diverse functional quantum devices. Here, we propose to realize a fast topological beam splitter based on a generalized SSH model by accelerating the quantum state transfer (QST) process essentially limited by adiabatic requirements. The scheme involves delicate orchestration of the instantaneous energy spectrum through exponential modulation of nearest neighbor coupling strengths and onsite energies, yielding a significantly accelerated beam splitting process. Due to properties of topological pumping and accelerated QST, the beam splitter exhibits strong robustness against parameter disorders and losses of system. In addition, the model demonstrates good scalability and can be extended to two-dimensional crossed-chain structures to realize a topological router with variable numbers of output ports. Our work provides practical prospects for fast and robust topological QST in feasible quantum devices in large-scale quantum information processing.
We develop a theoretical framework for fast, robust and high-fidelity topological quantum state transfer in one-dimensional systems with long-range couplings, motivated by chains of Rydberg atoms with dipole-dipole interactions. Such long-range interactions naturally give rise to extended Su-Schrieffer-Heeger and Rice-Mele models supporting topologically protected edge states. We show that these edge states enable high-fidelity edge-to-edge excitation transfer using both time-independent protocols, based on coherent edge state dynamics, and time-dependent protocols, based on adiabatic modulation of system parameters. Long-range couplings play a central role by enhancing the relevant energy gaps, leading to a substantial improvement in transfer efficiency compared to nearest neighbour models. The resulting transfer is robust against positional disorder, reflecting its topological origin and highlighting the potential of long-range interacting platforms for reliable quantum state transfer.