Quantum Logic between Remote Quantum Registers

Abstract

We analyze two approaches to quantum state transfer in solid-state spin systems. First, we consider unpolarized spin-chains and extend previous analysis to various experimentally relevant imperfections, including quenched disorder, dynamical decoherence, and uncompensated long range coupling. In finite-length chains, the interplay between disorder-induced localization and decoherence yields a natural optimal channel fidelity, which we calculate. Long-range dipolar couplings induce a finite intrinsic lifetime for the mediating eigenmode; extensive numerical simulations of dipolar chains of lengths up to L=12 show remarkably high fidelity despite these decay processes. We further consider the extension of the protocol to bosonic systems of coupled oscillators. Second, we introduce a quantum mirror based architecture for universal quantum computing which exploits all of the spins in the system as potential qubits. While this dramatically increases the number of qubits available, the composite operations required to manipulate "dark" spin qubits significantly raise the error threshold for robust operation. Finally, as an example, we demonstrate that eigenmode-mediated state transfer can enable robust long-range logic between spatially separated Nitrogen-Vacancy registers in diamond; numerical simulations confirm that high fidelity gates are achievable even in the presence of moderate disorder.

15 pages, 10 figures

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• Quantum gate learning in engineered qubit networks: Toffoli gate with always-on interactions
• Optical patterning of trapped charge in nitrogen-doped diamond
• Optimized dynamical control of state transfer through noisy spin chains
• Entanglement of dark electron-nuclear spin defects in diamond
• Photon Statistics of Propagating Thermal Microwaves
• Protected quantum-state transfer in decoherence-free subspaces
• Prethermalization and dynamical transition in an isolated trapped ion spin chain
• Perfect coherent transfer in an on-chip reconfigurable nanoelectromechanical network
• Asymptotically perfect efficient quantum state transfer across uniform chains with two impurities
• Ballistic quantum state transfer in spin chains: general theory for quasi-free models and arbitrary initial states
• Quantum simulations with multiphoton Fock states
• Universal quantum gates between nitrogen-vacancy centers in a levitated nanodiamond
• Engineering and Manipulating Exciton Wave Packets
• Time optimal quantum state transfer in a fully-connected quantum computer
• Resource optimization for fault-tolerant quantum computing
• Transfer of high-dimensional quantum state through an XXZ-Heisenberg quantum spin chain
• Designing spin channel geometries for entanglement distribution
• Quantum information processing with nuclear spins mediated by a weak-mechanically controlled electron spin
• Steady-state entanglement of spin qubits mediated by nonreciprocal and chiral magnons
• Long-distance excitation of nitrogen-vacancy centers in diamond via surface spin waves
• Transport of pseudothermal photons through an anharmonic cavity