Fault-Tolerant Computing With Biased-Noise Superconducting Qubits

Details Fault-Tolerant Computing With Biased-Noise Superconducting Qubits Fault-Tolerant Computing With Biased-Noise Superconducting Qubits

2008-06-02

arxiv.org/abs/0806.0383v2

New J. Phys. 11 (2009) 013061

Physics

Quantum Physics

15 pages, 7 figures

Scientific paper

10.1088/1367-2630/11/1/013061

We present a universal scheme of pulsed operations for the IBM oscillator-stabilized flux qubit comprising the 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 .5% and that noise is highly biased, with phase errors being stronger than all other types of errors by a factor of nearly 10^3. In contrast, the design of a CNOT gate for this system with an error rate of less than about 1.2% seems extremely challenging. We propose a special encoding which exploits the noise bias allowing us to implement a logical CNOT gate where phase errors and all other types of errors have nearly balanced rates of about .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.

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