Perfect quantum transport in arbitrary spin networks

Abstract

Spin chains have been proposed as wires to transport information between distributed registers in a quantum information processor. Unfortunately, the challenges in manufacturing linear chains with engineered couplings has hindered experimental implementations. Here we present strategies to achieve perfect quantum information transport in arbitrary spin networks. Our proposal is based on the weak coupling limit for pure state transport, where information is transferred between two end-spins that are only weakly coupled to the rest of the network. This regime allows disregarding the complex, internal dynamics of the bulk network and relying on virtual transitions or on the coupling to a single bulk eigenmode. We further introduce control methods capable of tuning the transport process and achieve perfect fidelity with limited resources, involving only manipulation of the end-qubits. These strategies could be thus applied not only to engineered systems with relaxed fabrication precision, but also to naturally occurring networks; specifically, we discuss the practical implementation of quantum state transfer between two separated nitrogen vacancy (NV) centers through a network of nitrogen substitutional impurities.

5+7 pages

References in corpus (15)

• The Quantum Internet
• How to Enhance Dephasing Time in Superconducting Qubits
• Opto-mechanical transducers for long-distance quantum communication
• Coherence of Nitrogen-Vacancy Electronic Spin Ensembles in Diamond
• Quenching Spin Decoherence in Diamond through Spin Bath Polarization
• Quantum state transmission via a spin ladder as a robust data bus
• Perfect state transfer in long-range interacting spin chains
• Optimal pulse spacing for dynamical decoupling in the presence of a purely-dephasing spin-bath
• Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath
• Dynamic Nuclear Polarization in Silicon Microparticles
• Simulations of Information Transport in Spin Chains
• 99%-fidelity ballistic quantum-state transfer through long uniform channels
• Decoherence effects on the quantum spin channels
• Theoretical analysis of perfect quantum state transfer with superconducting qubits
• Mixed-state quantum transport in correlated spin networks

Cited by in corpus (15)

• Deterministic formation of highly coherent nitrogen-vacancy centers using a focused electron irradiation technique
• Routing quantum information in spin chains
• Atomic-scale nuclear spin imaging using quantum-assisted sensors in diamond
• Optimized dynamical control of state transfer through noisy spin chains
• Quantum simulation via filtered Hamiltonian engineering: application to perfect quantum transport in spin networks
• Protected quantum-state transfer in decoherence-free subspaces
• Generation of a coherent electronic spin cluster in diamond
• Quantum Interpolation for High Resolution Sensing
• Quantum-state transfer in spin chains via isolated resonance of terminal spins
• Sensing coherent dynamics of electronic spin clusters in solids
• Optically-pumped dynamic nuclear hyperpolarization in ${}^{13}$C enriched diamond
• Effective cutting of a quantum spin chain by bond impurities
• Robustness of spin-chain state-transfer schemes
• Mesoscopic Spin Systems as Quantum Entanglers
• High-Field NMR Characterization and Indirect $J$-Spectroscopy of a Nuclear Spin Chain [U-${}^{13}$C,${}^{15}$N]-butyronitrile