Optimizing edge state transfer in a Su-Schrieffer-Heeger chain via hybrid analog-digital strategies

Abstract

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.

References in corpus (18)

• Variational Quantum Algorithms
• Coherent electronic transfer in quantum dot systems using adiabatic passage
• Optimal Quantum Measurements of Expectation Values of Observables
• Superadiabatic population transfer in a three-level superconducting circuit
• Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
• Observation of a symmetry-protected topological time crystal with superconducting qubits
• Non-adiabatic molecular quantum dynamics with quantum computers
• Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• Arbitrary entangled state transfer via a topological qubit chain
• Efficient Product Formulas for Commutators and Applications to Quantum Simulation
• Fast quantum transfer mediated by topological domain walls
• Variational counterdiabatic driving of the Hubbard model for ground-state preparation
• Spatial non-adiabatic passage using geometric phases
• Optimizing Counterdiabaticity by Variational Quantum Circuits
• PauliComposer: Compute Tensor Products of Pauli Matrices Efficiently
• Experimental realization of phase-controlled dynamics with hybrid digital-analog approach
• Time-Optimal Quantum Driving by Variational Circuit Learning
• Digital Quantum Simulation and Circuit Learning for the Generation of Coherent States

Cited by in corpus (6)

• Bias-Field Digitized Counterdiabatic Quantum Algorithm for Higher-Order Binary Optimization
• Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity
• Kicked-Ising Quantum Battery
• Digitized Counter-Diabatic Quantum Optimization for Bin Packing Problem
• A spectrum-based shortcut method for topological systems
• Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump