Always On Non-Nearest-Neighbor Coupling in Scalable Quantum Computing

Abstract

We investigate the non-nearest-neighbor interaction effect in 1-D spin-1/2 chain model. In many previous schemes this long-range coupling is omitted because of its relative weak strength compared with the nearest-neighbor coupling. We show that the quantum gate deviation induced by the omitted long-range interaction depends on not only its strength but also the scale of the system. This implies that omitting the long-range interaction may challenge the scalability of previous schemes. We further consider how to suppress this unwanted effect. We propose a quantum computation scheme. In this scheme, by using appropriate encoding method, we effectively negate the influence of the next-nearest-neighbor interaction in order to improve the precision of quantum gates. We also discuss the feasibility of this scheme in 1-D Josephson charge qubit array system. This work may offer improvement in scalable quantum computing.

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• Quantum channels and memory effects
• Cross Kerr Effect Induced by Coupled Josephson Qubits in Circuit Quantum Electrodynamics
• Hybrid digital-analog simulation of many-body dynamics with superconducting qubits
• Genuine multipartite nonlocality in the one-dimensional ferromagnetic spin-1/2 chain
• Universal quantum computation by the unitary control of ancilla qubits and using a fixed ancilla-register interaction
• Quantum logic gates from time-dependent global magnetic field in a system with constant exchange
• Strongly-coupled Josephson junction array for simulation of frustrated one-dimensional spin models
• Quantum simulation of fermionic systems using hybrid digital-analog quantum computing approach
• Decoherence and Quantum Error Correction for Quantum Computing and Communications
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward