The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Error-corrected quantum annealing with hundreds of qubits
Open accessAbstract
Quantum information processing offers dramatic speedups, yet is susceptible to decoherence, whereby quantum superpositions decay into mutually exclusive classical alternatives, thus robbing quantum computers of their power. This makes the development of quantum error correction an essential aspect of quantum computing. So far, little is known about protection against decoherence for quantum annealing, a computational paradigm aiming to exploit ground-state quantum dynamics to solve optimization problems more rapidly than is possible classically. Here we develop error correction for quantum annealing and experimentally demonstrate it using antiferromagnetic chains with up to 344 superconducting flux qubits in processors that have recently been shown to physically implement programmable quantum annealing. We demonstrate a substantial improvement over the performance of the processors in the absence of error correction. These results pave the way towards large-scale noise-protected adiabatic quantum optimization devices, although a threshold theorem such as has been established in the circuit model of quantum computing remains elusive. Quantum annealing is a quantum computational approach exploiting ground-state dynamics of a system to find optimal solutions. Pudenz et al.present an error correction scheme for quantum annealing and show that it provides improved performance on a quantum annealer with up to 344 superconducting flux qubits.
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Citations
Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Quantum annealing in the transverse Ising model
Kadowaki, T., & Nishimori, H. (1998) · Physical Review E · doi:10.1103/physreve.58.5355 · Cited by 2,339
Quantum annealing with manufactured spins
Johnson, M. W., Amin, M. H. S., Gildert, S., Lanting, T., Hamze, F., Dickson, N., Harris, R., Berkley, A. J., Johansson, J., Bunyk, P., et al. (2011) · Nature · doi:10.1038/nature10012 · Cited by 1,891
Preskill, J. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0167 · Cited by 994
Evidence for quantum annealing with more than one hundred qubits
Boixo, S., Rønnow, T. F., Isakov, S. V., Wang, Z., Wecker, D., Lidar, D. A., Martinis, J. M., & Troyer, M. (2014) · Nature Physics · doi:10.1038/nphys2900 · Cited by 810
Self-citationFault-tolerant quantum computation with constant error
Aharonov, D., & Ben-Or, M. (1997) · Proceedings of the twenty-ninth annual ACM symposium on Theory of computing - STOC '97 · doi:10.1145/258533.258579 · Cited by 631
Experimental Quantum Error Correction
Cory, D. G., Price, M. D., Maas, W., Knill, E., Laflamme, R., Zurek, W. H., Havel, T. F., & Somaroo, S. S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.2152 · Cited by 581
Realization of quantum error correction
Chiaverini, J., Leibfried, D., Schaetz, T., Barrett, M. D., Blakestad, R. B., Britton, J., Itano, W. M., Jost, J. D., Knill, E., Langer, C., et al. (2004) · Nature · doi:10.1038/nature03074 · Cited by 517
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation
Aharonov, D., van Dam, W., Kempe, J., Landau, Z., Lloyd, S., & Regev, O. (2007) · SIAM Journal on Computing · doi:10.1137/s0097539705447323 · Cited by 457
Mathematical foundation of quantum annealing
Morita, S., & Nishimori, H. (2008) · Journal of Mathematical Physics · doi:10.1063/1.2995837 · Cited by 381 · cited 2×
“The functions A and B are the ones appearing in equations (2) and (5).”
BackgroundMethodExperimental demonstration of a robust and scalable flux qubit
Harris, R., Johansson, J., Berkley, A. J., Johnson, M. W., Lanting, T., Han, S., Bunyk, P., Ladizinsky, E., Oh, T., Perminov, I., et al. (2010) · Physical Review B · doi:10.1103/physrevb.81.134510 · Cited by 177
Quantum Speedup by Quantum Annealing
Somma, R. D., Nagaj, D., & Kieferová, M. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.050501 · Cited by 176
Quantum error correction beyond qubits
Aoki, T., Takahashi, G., Kajiya, T., Yoshikawa, J.-I., Braunstein, S. L., van Loock, P., & Furusawa, A. (2009) · Nature Physics · doi:10.1038/nphys1309 · Cited by 144
Classical signature of quantum annealing
Smolin, J. A., & Smith, G. (2014) · Frontiers in Physics · doi:10.3389/fphy.2014.00052 · Cited by 79
Cited by
Microwave photonics with superconducting quantum circuits
Gu, X., Kockum, A. F., Miranowicz, A., Liu, Y.-X., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.10.002 · Cited by 1,307
Quantum information processing with superconducting circuits: a review
Wendin, G. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa7e1a · Cited by 890
Defining and detecting quantum speedup
Rønnow, T. F., Wang, Z., Job, J., Boixo, S., Isakov, S. V., Wecker, D., Martinis, J. M., Lidar, D. A., & Troyer, M. (2014) · Science · doi:10.1126/science.1252319 · Cited by 601
Self-citationPerspectives of quantum annealing: methods and implementations
Hauke, P., Katzgraber, H. G., Lechner, W., Nishimori, H., & Oliver, W. D. (2020) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab85b8 · Cited by 507
Quantum annealing for industry applications: introduction and review
Yarkoni, S., Raponi, E., Bäck, T., & Schmitt, S. (2022) · Reports on Progress in Physics · doi:10.1088/1361-6633/ac8c54 · Cited by 341
Metadata
- Authors
- Pudenz, K. L., Albash, T., & Lidar, D. A.
- Venue
- Nature Communications
- Published
- 2014-02-06
- Volume
- 5
- Issue
- 1
- Pages
- 3243-3243
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2066297895
- Cited by
- 198
- References
- 14
- FWCI
- 23.44
- Type
- journal article
- Language
- en
- Open access
- bronze
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