Entanglement and complexity of interacting qubits subject to asymmetric noise

Entanglement and complexity of interacting qubits subject to asymmetric noise
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DOI:
10.1103/physrevresearch.2.043042
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发表时间:
2019-05
影响因子:
4.2
通讯作者:
E. Kapit;P. Roushan;C. Neill;S. Boixo;V. Smelyanskiy
E. Kapit;P. Roushan;C. Neill;S. Boixo;V. Smelyanskiy
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作者:
E. Kapit;P. Roushan;C. Neill;S. Boixo;V. Smelyanskiy

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预测离域多体量子系统的时间演化的模拟复杂性最近引起了人们的兴趣,并且在真实的量子硬件中模拟这样的系统是证明量子优于经典机器的有希望的途径。在这些建议中,随机噪声是一个必须克服的障碍,一个忠实的模拟,一个单一的错误事件可能足以驱动系统到一个经典的平凡状态。我们认为,情况并不总是如此,并考虑对一个领先的量子采样问题的修改-transmon量子位的相互作用Bose-Hubbard链中的时间演化[Neill et al,Science 2018] -其中链中的每个站点都有一个与有损谐振器的驱动耦合,并且粒子数不再守恒。由此产生的量子动力学是复杂的和高度非平凡的。我们认为,这个问题比孤立链更难模拟,即使在强噪声限制下,它也可以实现体积律纠缠,可能会持续到超出经典模拟范围的系统大小。此外,我们表明,度量,这表明古典棘手的孤立链点在嘈杂的情况下,类似的结论。这些结果表明,包括非平凡噪声的量子采样问题可能是在近期硬件中展示量子优势的良好候选者。
The simulation complexity of predicting the time evolution of delocalized many-body quantum systems has attracted much recent interest, and simulations of such systems in real quantum hardware are promising routes to demonstrating a quantum advantage over classical machines. In these proposals, random noise is an obstacle that must be overcome for a faithful simulation, and a single error event can be enough to drive the system to a classically trivial state. We argue that this need not always be the case, and consider a modification to a leading quantum sampling problem-- time evolution in an interacting Bose-Hubbard chain of transmon qubits [Neill et al, Science 2018] -- where each site in the chain has a driven coupling to a lossy resonator and particle number is no longer conserved. The resulting quantum dynamics are complex and highly nontrivial. We argue that this problem is harder to simulate than the isolated chain, and that it can achieve volume-law entanglement even in the strong noise limit, likely persisting up to system sizes beyond the scope of classical simulation. Further, we show that the metrics which suggest classical intractability for the isolated chain point to similar conclusions in the noisy case. These results suggest that quantum sampling problems including nontrivial noise could be good candidates for demonstrating a quantum advantage in near-term hardware.