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

Fault-tolerant computing with biased-noise superconducting qubits: a case study
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DOI:
10.1088/1367-2630/11/1/013061
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发表时间:
2009-01-30
影响因子:
3.3
通讯作者:
Terhal, B. M.
Terhal, B. M.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Aliferis, P.;Brito, F.;Terhal, B. M.

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我们提出了一种适用于IBM振荡器稳定通量量子比特的通用脉冲操作方案,包括可控sigma(z) (CPHASE)门、单量子比特的制备和测量。基于数值模拟,我们认为这些操作的错误率可以低至0.5%左右,噪声是高度偏置的,相位误差比所有其他类型的误差强近10倍(3)。相比之下,为该系统设计一个错误率小于约1.2%的可控sigma(x) (CNOT)门似乎极具挑战性。我们提出了一种利用噪声偏差的特殊编码,使我们能够实现一个逻辑CNOT门,其中相位误差和所有其他类型的误差几乎平衡,约为0.4%。我们的结果说明了如何根据可用的物理操作和实验设备的特定噪声特性来调整和优化编码方案的设计。
We present a universal scheme of pulsed operations suitable for the IBM oscillator-stabilized flux qubit comprising the controlled-sigma(z) (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 10(3). In contrast, the design of a controlled sigma(x) (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 logical CNOT 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.