Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
arXiv:2009.08469 · doi:10.1103/PhysRevB.103.245303
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.
arXiv comment12 pages, 16 figures
References in corpus (47)
- Quantum Computing in the NISQ era and beyond
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- The theory of variational hybrid quantum-classical algorithms
- Many-body localization, thermalization, and entanglement
- Observation of a Discrete Time Crystal
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- A programmable two-qubit quantum processor in silicon
- Electrically driven single electron spin resonance in a slanting Zeeman field
- Discrete time crystals: rigidity, criticality, and realizations
- Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- A geometric theory of non-local two-qubit operations
- Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
- Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
- Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
- Fidelity of quantum operations
- Discrete Time Crystals
- Reduced sensitivity to charge noise in semiconductor spin qubits via symmetric operation
- Noise suppression using symmetric exchange gates in spin qubits
- Self-Consistent Measurement and State Tomography of an Exchange-Only Spin Qubit
- The Resonant Exchange Qubit
- A fast "hybrid" silicon double quantum dot qubit
- Scaling of Dynamical Decoupling for Spin Qubits
- Composite pulses for robust universal control of singlet-triplet qubits
- A Brief History of Time Crystals
- Coherent spin state transfer via Heisenberg exchange
- Coherent transfer of quantum information in silicon using resonant SWAP gates
- Higher-order and fractional discrete time crystals in clean long-range interacting systems
- Resonantly driven singlet-triplet spin qubit in silicon
- Site-selective quantum control in an isotopically enriched 28Si/SiGe quadruple quantum dot
- Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
- Analytical approach to swift nonleaky entangling gates in superconducting qubits
- Robust quantum control using smooth pulses and topological winding
- Exchange-based two-qubit gate for singlet-triplet qubits
- Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits
- High-fidelity gate set for exchange-coupled singlet-triplet qubits
- Directly accessible entangling gates for capacitively coupled singlet-triplet qubits
- Floquet-Enhanced Spin Swaps
- Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits
- Stabilization and manipulation of multispin states in quantum-dot time crystals with Heisenberg interactions
- Discrete time crystal in the gradient field Heisenberg model
- Noise-induced collective quantum state preservation in spin qubit arrays
- Simulation of Coupling Strength of Capacitively Coupled Singlet-Triplet Qubits
- Stroboscopically Robust Gates For Capacitively Coupled Singlet-Triplet Qubits
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- Signatures of discrete time-crystallinity in transport through an open Fermionic chain
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- Emergence and Dynamical Stability of Charge Time-Crystal in a Current-Carrying Quantum Dot Simulator
- Hybrid Exchange Measurement-Based Qubit Operations in Semiconductor Double Quantum Dot Qubits
- Time-crystalline behavior in central-spin models with Heisenberg interactions
- 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