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arXiv 2102.06132quant-ph
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利用重复纠错对比特或相位翻转误差进行指数抑制

Exponential suppression of bit or phase flip errors with repetitive error correction

Zijun Chen, Kevin J. Satzinger, Juan Atalaya, Alexander N. Korotkov, Andrew Dunsworth, Daniel Sank, Chris Quintana, Matt McEwen, Rami Barends, Paul V. Klimov, S… 展开作者

Zijun Chen, Kevin J. Satzinger, Juan Atalaya, Alexander N. Korotkov, Andrew Dunsworth, Daniel Sank, Chris Quintana, Matt McEwen, Rami Barends, Paul V. Klimov, Sabrina Hong, Cody Jones, Andre Petukhov, Dvir Kafri, Sean Demura, Brian Burkett, Craig Gidney, Austin G. Fowler, Harald Putterman, Igor Aleiner, Frank Arute, Kunal Arya, Ryan Babbush, Joseph C. Bardin, Andreas Bengtsson, Alexandre Bourassa, Michael Broughton, Bob B. Buckley, David A. Buell, Nicholas Bushnell, Benjamin Chiaro, Roberto Collins, William Courtney, Alan R. Derk, Daniel Eppens, Catherine Erickson, Edward Farhi, Brooks Foxen, Marissa Giustina, Jonathan A. Gross, Matthew P. Harrigan, Sean D. Harrington, Jeremy Hilton, Alan Ho, Trent Huang, William J. Huggins, L. B. Ioffe, Sergei V. Isakov, Evan Jeffrey, Zhang Jiang, Kostyantyn Kechedzhi, Seon Kim, Fedor Kostritsa, David Landhuis, Pavel Laptev, Erik Lucero, Orion Martin, Jarrod R. McClean, Trevor McCourt, Xiao Mi, Kevin C. Miao, Masoud Mohseni, Wojciech Mruczkiewicz, Josh Mutus, Ofer Naaman, Matthew Neeley, Charles Neill, Michael Newman, Murphy Yuezhen Niu, Thomas E. O'Brien, Alex Opremcak, Eric Ostby, Bálint Pató, Nicholas Redd, Pedram Roushan, Nicholas C. Rubin, Vladimir Shvarts, Doug Strain, Marco Szalay, Matthew D. Trevithick, Benjamin Villalonga, Theodore White, Z. Jamie Yao, Ping Yeh, Adam Zalcman, Hartmut Neven, Sergio Boixo, Vadim Smelyanskiy, Yu Chen, Anthony Megrant, Julian Kelly

摘要:

实现量子计算的潜力需要实现足够低的逻辑错误率。许多应用要求$10^{-15}$体系中的错误率,但是最先进的量子平台通常具有接近$10^{-3}$的物理错误率。量子纠错(QEC)有望通过将量子逻辑信息分布在许多物理量子位上来弥合这一鸿沟,从而可以检测和纠正错误。然后,逻辑错误随着物理量子比特数量的增长而呈指数级抑制,前提是物理错误率低于某个阈值。QEC还要求错误是局部的,并且在多轮纠错中保持性能,这是两个主要的突出实验挑战。在这里,我们实现了嵌入在超导量子位的2D网格中的1D重复码,其表现出比特或相位翻转错误的指数抑制,当量子位的数量从5增加到21时,每轮的逻辑错误减少超过$100\times$。至关重要的是,这种错误抑制在50轮错误校正中是稳定的。我们还介绍了一种高精度的误差相关性分析方法,并首次描述了执行QEC的设备中的错误的局部性。最后,我们在同一个器件上使用一个小的二维表面码逻辑量子比特进行错误检测,并表明从一维和二维码的结果同意使用一个简单的去极化误差模型的数值模拟。这些发现表明,超导量子比特是一个可行的道路上的容错量子计算。

英文摘要:

Realizing the potential of quantum computing will require achieving sufficiently low logical error rates. Many applications call for error rates in the $10^{-15}$ regime, but state-of-the-art quantum platforms typically have physical error rates near $10^{-3}$. Quantum error correction (QEC) promises to bridge this divide by distributing quantum logical information across many physical qubits so that errors can be detected and corrected. Logical errors are then exponentially suppressed as the number of physical qubits grows, provided that the physical error rates are below a certain threshold. QEC also requires that the errors are local and that performance is maintained over many rounds of error correction, two major outstanding experimental challenges. Here, we implement 1D repetition codes embedded in a 2D grid of superconducting qubits which demonstrate exponential suppression of bit or phase-flip errors, reducing logical error per round by more than $100\times$ when increasing the number of qubits from 5 to 21. Crucially, this error suppression is stable over 50 rounds of error correction. We also introduce a method for analyzing error correlations with high precision, and characterize the locality of errors in a device performing QEC for the first time. Finally, we perform error detection using a small 2D surface code logical qubit on the same device, and show that the results from both 1D and 2D codes agree with numerical simulations using a simple depolarizing error model. These findings demonstrate that superconducting qubits are on a viable path towards fault tolerant quantum computing.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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