Universal set of dynamically protected gates for bipartite qubit networks: Soft pulse implementation of the [[5,1,3]] quantum error-correcting code

De Amrit; Pryadko Leonid P.

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Universal set of dynamically protected gates for bipartite qubit networks: Soft pulse implementation of the [[5,1,3]] quantum error-correcting code

机译：双向量子位网络的动态保护门的通用集合：[[5,1,3]]量子纠错码的软脉冲实现

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We model repetitive quantum error correction (QEC) with the single-error-correcting five-qubit code on a network of individually controlled qubits with always-on Ising couplings. We use our previously designed universal set of quantum gates based on sequences of shaped decoupling pulses. In addition to being accurate quantum gates, the sequences also provide dynamical decoupling (DD) of low-frequency phase noise. The simulation involves integrating the unitary dynamics of six qubits over the duration of tens of thousands of control pulses, using classical stochastic phase noise as a source of decoherence. The combined DD and QEC protocol dramatically improves the coherence, with the QEC alone being responsible for more than an order of magnitude infidelity reduction.

机译：我们在具有始终在线的伊辛耦合的独立控制量子位的网络上，通过单误差校正的五量子位代码对重复量子误差校正（QEC）进行建模。我们使用基于成形去耦脉冲序列的先前设计的通用量子门集。除了是精确的量子门外，这些序列还提供了低频相位噪声的动态去耦（DD）。仿真包括使用经典的随机相位噪声作为消相干源，在数万个控制脉冲的持续时间内对六个量子位的单位动力学进行积分。 DD和QEC的组合协议极大地提高了一致性，而QEC本身所带来的影响就不止一个数量级。

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《Physical Review, A》 |2016年第1期|共11页
作者
De Amrit; Pryadko Leonid P.;
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正文语种 eng
中图分类物理学;分子物理学、原子物理学;原子核物理学、高能物理学;光学;
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1. Universal set of dynamically protected gates for bipartite qubit networks: Soft pulse implementation of the [[5,1,3]] quantum error-correcting code [J] . De Amrit, Pryadko Leonid P. Physical Review, A . 2016,第4aPta1期

机译：双向量子位网络的动态保护门的通用集合：[[5,1,3]]量子纠错码的软脉冲实现
2. Towards a universal set of topologically protected gates for quantum computation with Pfaffian qubits [J] . Georgiev LS Nuclear physics, B . 2008,第3期

机译：迈向普法夫量子位量子计算的通用拓扑保护门集
3. Universal Set of Scalable Dynamically Corrected Gates for Quantum Error Correction with Always-on Qubit Couplings [J] . Amrit De, Leonid P. Pryadko Physical review letters . 2013,第7期

机译：具有始终在线的量子位耦合的量子误差校正的可伸缩动态校正门通用集
4. A Four-Qubits Code that is a Quantum Deletion Error-Correcting Code with the Optimal Length [C] . Manabu Hagiwara, Ayumu Nakayama IEEE International Symposium on Information Theory . 2020

机译：四量子位代码，它是具有最佳长度的量子删除纠错码
5. Quantum gates, mixed-state entanglement and error-correcting codes. [D] . Smolin, John Aaron. 1996

机译：量子门，混合态纠缠和纠错码。
6. Implementing a universal gate set on a logical qubit encoded in an oscillator [O] . Reinier W. Heeres, Philip Reinhold, Nissim Ofek, -1

机译：在振荡器中编码的逻辑量子位上实现通用门集
7. Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code [O] . De, Amrit, Pryadko, Leonid P. 2015

机译：用于Bipartite Qubit的通用动态保护门网络II：[[5,1,3]]量子误差的软脉冲实现纠正代码

Universal set of dynamically protected gates for bipartite qubit networks: Soft pulse implementation of the [[5,1,3]] quantum error-correcting code

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