Autonomous quantum error correction with superconducting qubits
Autonomous quantum error correction with superconducting qubits
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发表时间：
2017-02
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通讯作者：
Joachim Cohen
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作者：
Joachim Cohen
在这篇论文中，我们在超导量子比特的自主量子纠错（QEC）方向上开发了几种工具。我们设计了一个基于量子库工程的自治QEC方案，在该方案中，传输子量子比特耦合到有损模式。通过这些系统之间的工程相互作用，最终错误所产生的熵通过耗散模疏散。本工作的第二部分集中在最近开发的猫码，通过它的逻辑信息编码在大希尔伯特空间的谐振子。我们提出了一个在微波腔中进行光子数宇称的连续和量子非破坏测量的方案，它对应于猫码中的错误综合征。在我们的设计中，我们利用了高阻抗约瑟夫森电路的强非线性哈密顿量，将高Q值的腔存储腔模耦合到低Q值的读出腔模。最后，作为上述结果的后续，我们提出了几个连续和/或自治的QEC计划使用猫码。这些计划提供了一个强大的保护，对占主导地位的错误通道中存在的多光子驱动的耗散。
In this thesis, we develop several tools in the direction of autonomous Quantum Error Correction (QEC) with superconducting qubits. We design an autonomous QEC scheme based on quantum reservoir engineering, in which transmon qubits are coupled to lossy modes. Through an engineered interaction between these systems, the entropy created by eventual errors is evacuated via the dissipative modes.The second part of this work focus on the recently developed cat codes, through which the logical information is encoded in the large Hilbert space of a harmonic oscillator. We propose a scheme to perform continuous and quantum non-demolition measurements of photon-number parity in a microwave cavity, which corresponds to the error syndrome in the cat code. In our design, we exploit the strongly nonlinear Hamiltonian of a highimpedance Josephson circuit, coupling ahigh-Q cavity storage cavity mode to a low-Q readout one. Last, as a follow up of the above results, we present several continuous and/or autonomous QEC schemes using the cat code. These schemes provide a robust protection against dominant error channels in the presence of multi-photon driven dissipation.