Abstract

Constructing a fault-tolerant quantum computer is a daunting task. Given any design, it is possible to determine the maximum error rate of each type of component that can be tolerated while still permitting arbitrarily large-scale quantum computation. It is an underappreciated fact that including an appropriately designed mechanism enabling long-range qubit coupling or transport substantially increases the maximum tolerable error rates of all components. With this thought in mind, we take the superconducting flux qubit coupling mechanism described by Plourde et al. [Phys. Rev. B 70, 140501(R) (2004)] and extend it to allow approximately $500\phantom{\rule{0.3em}{0ex}}\mathrm{MHz}$ coupling of square flux qubits, $50\phantom{\rule{0.3em}{0ex}}\ensuremath{\mu}\mathrm{m}$ a side, at a distance of up to several millimeters. This mechanism is then used as the basis of two scalable architectures for flux qubits taking into account cross-talk and fault-tolerant considerations such as permitting a universal set of logical gates, parallelism, measurement and initialization, and data mobility.

Highlights

  • The field of quantum computation is largely concerned with the manipulation of two state quantum systems called qubits

  • The attraction of quantum computation lies in the existence of quantum algorithms that are in some cases exponentially faster than their best known classical equivalents

  • Despite the extremely low expected threshold of linear nearest neighbor (LNN) architectures, a great deal of theoretical work has been devoted to the design of such architectures using a variety of physical systems [34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44]

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Summary

INTRODUCTION

The field of quantum computation is largely concerned with the manipulation of two state quantum systems called qubits. Despite the extremely low expected threshold of linear nearest neighbor (LNN) architectures, a great deal of theoretical work has been devoted to the design of such architectures using a variety of physical systems [34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44] This is reasonable in the context of providing an experimental starting point, but we believe the time has come to expect at least a theoretical proposal for how long-range interactions or long-distance qubit transport might be performed.

COUPLING FLUX QUBITS
ARCHITECTURES
CONCLUSION

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