Fault-tolerant computing with biased-noise superconducting qubits: a case study

By Panos Aliferis, F. Brito, David P. DiVincenzo, John Preskill, Matthias Steffen, Barbara M. Terhal. 2008

189 citations recorded by the source corpus.

We present a universal scheme of pulsed operations suitable for the IBM oscillator-stabilized flux qubit comprising the controlled-σz (cphase) gate, single-qubit preparations and measurements. Based on numerical simulations, we argue that the error rates for these operations can be as low as about 0.5% and that noise is highly biased, with phase errors being stronger than all other types of errors by a factor of nearly 103. In contrast, the design of a controlled-σx (cnot) gate for this system with an error rate of less than about 1.2% seems extremely challenging. We propose a special encoding that exploits the noise bias allowing us to implement a logicalcnot gate where phase errors and all other types of errors have nearly balanced rates of about 0.4%. Our results illustrate how the design of an encoding scheme can be adjusted and optimized according to the available physical operations and the particular noise characteristics of experimental devices.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/cc0f1dd5fbdf9c538fe4e79f373e46a167b6633f

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