Non-Abelian braiding of graph vertices in a superconducting processor.
Non-Abelian braiding of graph vertices in a superconducting processor.
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DOI：
10.1038/s41586-023-05954-4
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发表时间：
2023-06
期刊：
影响因子：
64.8
通讯作者：
Roushan, P.
中科院分区：
文献类型：
--
作者：
Andersen, T. I.;Lensky, Y. D.;Kechedzhi, K.;Drozdov, I. K.;Bengtsson, A.;Hong, S.;Morvan, A.;Mi, X.;Opremcak, A.;Acharya, R.;Allen, R.;Ansmann, M.;Arute, F.;Arya, K.;Asfaw, A.;Atalaya, J.;Babbush, R.;Bacon, D.;Bardin, J. C.;Bortoli, G.;Bourassa, A.;Bovaird, J.;Brill, L.;Broughton, M.;Buckley, B. B.;Buell, D. A.;Burger, T.;Burkett, B.;Bushnell, N.;Chen, Z.;Chiaro, B.;Chik, D.;Chou, C.;Cogan, J.;Collins, R.;Conner, P.;Courtney, W.;Crook, A. L.;Curtin, B.;Debroy, D. M.;Del Toro Barba, A.;Demura, S.;Dunsworth, A.;Eppens, D.;Erickson, C.;Faoro, L.;Farhi, E.;Fatemi, R.;Ferreira, V. S.;Burgos, L. F.;Forati, E.;Fowler, A. G.;Foxen, B.;Giang, W.;Gidney, C.;Gilboa, D.;Giustina, M.;Gosula, R.;Dau, A. G.;Gross, J. A.;Habegger, S.;Hamilton, M. C.;Hansen, M.;Harrigan, M. P.;Harrington, S. D.;Heu, P.;Hilton, J.;Hoffmann, M. R.;Huang, T.;Huff, A.;Huggins, W. J.;Ioffe, L. B.;Isakov, S. V.;Iveland, J.;Jeffrey, E.;Jiang, Z.;Jones, C.;Juhas, P.;Kafri, D.;Khattar, T.;Khezri, M.;Kieferova, M.;Kim, S.;Kitaev, A.;Klimov, P. V.;Klots, A. R.;Korotkov, A. N.;Kostritsa, F.;Kreikebaum, J. M.;Landhuis, D.;Laptev, P.;Lau, K. -M.;Laws, L.;Lee, J.;Lee, K. W.;Lester, B. J.;Lill, A. T.;Liu, W.;Locharla, A.;Lucero, E.;Malone, F. D.;Martin, O.;McClean, J. R.;McCourt, T.;McEwen, M.;Miao, K. C.;Mieszala, A.;Mohseni, M.;Montazeri, S.;Mount, E.;Movassagh, R.;Mruczkiewicz, W.;Naaman, O.;Neeley, M.;Neill, C.;Nersisyan, A.;Newman, M.;Ng, J. H.;Nguyen, A.;Nguyen, M.;Niu, M. Y.;O'Brien, T. E.;Omonije, S.;Petukhov, A.;Potter, R.;Pryadko, L. P.;Quintana, C.;Rocque, C.;Rubin, N. C.;Saei, N.;Sank, D.;Sankaragomathi, K.;Satzinger, K. J.;Schurkus, H. F.;Schuster, C.;Shearn, M. J.;Shorter, A.;Shutty, N.;Shvarts, V.;Skruzny, J.;Smith, W. C.;Somma, R.;Sterling, G.;Strain, D.;Szalay, M.;Torres, A.;Vidal, G.;Villalonga, B.;Heidweiller, C. V.;White, T.;Woo, B. W. K.;Xing, C.;Yao, Z. J.;Yeh, P.;Yoo, J.;Young, G.;Zalcman, A.;Zhang, Y.;Zhu, N.;Zobrist, N.;Neven, H.;Boixo, S.;Megrant, A.;Kelly, J.;Chen, Y.;Smelyanskiy, V.;Kim, E. -A.;Aleiner, I.;Roushan, P.
粒子的不变性是量子力学的基本原理。对于迄今为止观察到的所有基本粒子和准粒子--包括费米子、玻色子和阿贝尔任意子--这一原理保证了全同粒子的编织使系统保持不变。然而，在二维空间中，存在一种有趣的可能性：非阿贝尔任意子的编织导致拓扑简并波函数空间的旋转。因此，它可以改变系统的可观性，而不违反不可测性原则。尽管对非阿贝尔任意子有着成熟的数学描述和许多理论提议，但几十年来对其交换统计的实验观察仍然难以捉摸。在量子处理器上产生的可控多体量子态为探索这些基本现象提供了另一条途径。传统的固态平台通常涉及准粒子的哈密顿动力学，而超导量子处理器允许通过幺正门直接操纵多体波函数。基于稳定器代码可以承载投射非阿贝尔伊辛任意子的预测，我们实现了一个广义稳定器代码和统一协议来创建和编织它们。这使我们能够通过实验验证任意子的融合规则，并编织它们来实现它们的统计。然后，我们研究了利用任意子进行量子计算的前景，并利用编结技术产生了一个编码三个逻辑量子比特的任意子纠缠态。我们的工作提供了关于非阿贝尔编织的新见解，并且通过未来包含纠错来实现拓扑保护，可以开辟一条通往容错量子计算的道路。在一个超导处理器上实现了一个在广义稳定子码中编织投射非阿贝尔伊辛任意子的酉协议，并验证了它们的融合规则和实现了它们的交换统计.
Indistinguishability of particles is a fundamental principle of quantum mechanics. For all elementary and quasiparticles observed to date—including fermions, bosons and Abelian anyons—this principle guarantees that the braiding of identical particles leaves the system unchanged. However, in two spatial dimensions, an intriguing possibility exists: braiding of non-Abelian anyons causes rotations in a space of topologically degenerate wavefunctions. Hence, it can change the observables of the system without violating the principle of indistinguishability. Despite the well-developed mathematical description of non-Abelian anyons and numerous theoretical proposals, the experimental observation of their exchange statistics has remained elusive for decades. Controllable many-body quantum states generated on quantum processors offer another path for exploring these fundamental phenomena. Whereas efforts on conventional solid-state platforms typically involve Hamiltonian dynamics of quasiparticles, superconducting quantum processors allow for directly manipulating the many-body wavefunction by means of unitary gates. Building on predictions that stabilizer codes can host projective non-Abelian Ising anyons, we implement a generalized stabilizer code and unitary protocol to create and braid them. This allows us to experimentally verify the fusion rules of the anyons and braid them to realize their statistics. We then study the prospect of using the anyons for quantum computation and use braiding to create an entangled state of anyons encoding three logical qubits. Our work provides new insights about non-Abelian braiding and, through the future inclusion of error correction to achieve topological protection, could open a path towards fault-tolerant quantum computing. A unitary protocol for braiding projective non-Abelian Ising anyons in a generalized stabilizer code is implemented on a superconducting processor, allowing for verification of their fusion rules and realization of their exchange statistics.
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影响因子：
56.9
作者：
Nadj-Perge, Stevan;Drozdov, Ilya K.;Yazdani, Ali
通讯作者：
Yazdani, Ali
影响因子：
64.8
作者：
Banerjee, Mitali;Heiblum, Moty;Stern, Ady
通讯作者：
Stern, Ady
影响因子：
6.7
作者：
Field, Bernard;Simula, Tapio
通讯作者：
Simula, Tapio
DOI：
10.1073/pnas.95.1.98
发表时间：
1998-01-06
影响因子：
11.1
作者：
Freedman, MH
通讯作者：
Freedman, MH
影响因子：
64.8
作者：
Arute, Frank;Arya, Kunal;Martinis, John M.
通讯作者：
Martinis, John M.