Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically

Abstract

Recent work has demonstrated a new route to discrete time crystal physics in quantum spin chains by periodically driving nearest-neighbor exchange interactions in gate-defined quantum dot arrays [arXiv:2006.10913]. Here, we present a detailed analysis of exchange-driven Floquet physics in small arrays of GaAs quantum dots, including phase diagrams and additional diagnostics. We also show that emergent time-crystalline behavior can benefit the protection and manipulation of multi-spin states. For typical levels of nuclear spin noise in GaAs, the combination of driving and interactions protects spin-singlet states beyond what is possible in the absence of exchange interactions. We further show how to construct a time-crystal-inspired CZ gate between singlet-triplet qubits with high fidelity. These results show that periodically driving exchange couplings can enhance the performance of quantum dot spin systems for quantum information applications.

12 pages, 16 figures

References in corpus (10)

• Electrically driven single electron spin resonance in a slanting Zeeman field
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Fidelity of quantum operations
• A Brief History of Time Crystals
• Site-selective quantum control in an isotopically enriched 28Si/SiGe quadruple quantum dot
• Analytical approach to swift nonleaky entangling gates in superconducting qubits
• Exchange-based two-qubit gate for singlet-triplet qubits
• Directly accessible entangling gates for capacitively coupled singlet-triplet qubits

Cited by in corpus (7)

• Signatures of discrete time-crystallinity in transport through an open Fermionic chain
• Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
• Time-crystalline behavior in central-spin models with Heisenberg interactions
• Hybrid Exchange Measurement-Based Qubit Operations in Semiconductor Double Quantum Dot Qubits
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• Time Crystals from single-molecule magnet arrays
• Influence of errors on the transport of quantum information through distant quantum dot spin qubits