Quantum Computing with sine-Gordon Qubits

Abstract

A universal quantum computing scheme, with a universal set of logical gates, is proposed based on networks of 1D quantum systems. The encoding of information is in terms of universal features of gapped phases, for which effective field theories such as sine-Gordon field theory can be employed to describe a qubit. Primary logical gates are from twist, pump, glue, and shuffle operations that can be realized in principle by tuning parameters of the systems. Our scheme demonstrates the power of 1D quantum systems for robust quantum computing.

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References in corpus (2)

• Topological Order, Dimerization, and Spinon Deconfinement in Frustrated Spin Ladders
• Majorana states in inhomogeneous spin ladders

Cited by in corpus (1)

• Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes