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Using quantum systems with more than two levels, or qudits, can scale the computation space of quantum processors more efficiently than using qubits, which may offer an easier physical implementation for larger Hilbert spaces.
Michael A. Nielsen and Isaac L. Chuang, Quantum computation and quantum information (Cambridge University Press, 2000) p. 676
2000
Earlier work this paper cites.
Jean-Luc Brylinski and Ranee Brylinski, “Universal quantum gates,” Mathematics of Quantum Computation , 101–116 (2001)
2001
Earlier work this paper cites.
L. M.K. Vandersypen and I. L. Chuang, “NMR techniques for quantum control and computation,” Reviews of Modern Physics 76
2004
Earlier work this paper cites.
Jens Koch, Terri M. Yu, Jay Gambetta, A. A. Houck, D. I. Schuster, J. Majer, Alexandre Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, “Charge-insensitive qubit design derived from the Cooper pair box,” Physical Review A - Atomic, Molecular, and Optical Physics 76
2007
Earlier work this paper cites.
Yale Fan, “A Generalization of the Deutsch-Jozsa Algorithm to Multi-Valued Quantum Logic,” in 37th International Symposium on Multiple-Valued Logic (ISMVL’07) (IEEE, 2007) pp. 12–12
2007
Earlier work this paper cites.
Gabriela Mogos, “The Deutsch-Josza Algorithm for n-Qudits,” in Proceedings of the 7th Conference on 7th WSEAS International Conference on Applied Computer Science - Volume 7 (2007) pp. 49–51
2007
Earlier work this paper cites.
M Wallquist, K Hammerer, P Rabl, S M Girvin, M H Devoret, and R J Schoelkopf, “Circuit QED and engineering charge-based superconducting qubits,” Physica Scripta 2009
2009
Earlier work this paper cites.
Zhao Liu and Heng Fan, “Decay of multiqudit entanglement,” Phys. Rev. A 79
2009
Earlier work this paper cites.
R. Bianchetti, S. Filipp, M. Baur, J. M. Fink, M. Göppl, P. J. Leek, L. Steffen, A. Blais, and A. Wallraff, “Dynamics of dispersive single-qubit readout in circuit quantum electrodynamics,” Physical Review A - Atomic, Molecular, and Optical Physics 80
2009
Earlier work this paper cites.
R. Bianchetti, S. Filipp, M. Baur, J. M. Fink, C. Lang, L. Steffen, M. Boissonneault, A. Blais, and A. Wallraff, “Control and Tomography of a Three Level Superconducting Artificial Atom,” Physical Review Letters 105
2010
Earlier work this paper cites.
Jonathan A. Jones, “Quantum computing with NMR,” Progress in Nuclear Magnetic Resonance Spectroscopy 59
2011
Earlier work this paper cites.
Yao-Min Di and Hai-Rui Wei, “Elementary gates for ternary quantum logic circuit,” (2011), 10.48550/arxiv.1105.5485
2011
Earlier work this paper cites.
Ye Cao, Shi-Guo Peng, Chao Zheng, and Gui-Lu Long, “Quantum Fourier Transform and Phase Estimation in Qudit System,” Communications in Theoretical Physics 55
2011
Earlier work this paper cites.
2011
Earlier work this paper cites.
Robert Fickler, Radek Lapkiewicz, William N. Plick, Mario Krenn, Christoph Schaeff, Sven Ramelow, and Anton Zeilinger, “Quantum entanglement of high angular momenta,” Science 338
2012
Earlier work this paper cites.
S. S. Ivanov, H. S. Tonchev, and N. V. Vitanov, “Time-efficient implementation of quantum search with qudits,” Physical Review A 85
2012
Earlier work this paper cites.
R. Schutjens, F. Abu Dagga, D. J. Egger, and F. K. Wilhelm, “Single-qubit gates in frequency-crowded transmon systems,” Physical Review A 88
2013
Earlier work this paper cites.
Shruti Dogra, Arvind, and Kavita Dorai, “Determining the parity of a permutation using an experimental NMR qutrit,” Physics Letters A 378
2014
Earlier work this paper cites.
MingXing Luo and XiaoJun Wang, “Universal quantum computation with qudits,” Science China Physics, Mechanics & Astronomy 57
2014
Earlier work this paper cites.
2015
Earlier work this paper cites.
Z. Gedik, I. A. Silva, B. Çakmak, G. Karpat, E. L. G. Vidoto, D. O. Soares-Pinto, E. R. deAzevedo, and F. F. Fanchini, “Computational speed-up with a single qudit,” Scientific Reports 5
2015
Earlier work this paper cites.
Michael J. Peterer, Samuel J. Bader, Xiaoyue Jin, Fei Yan, Archana Kamal, Theodore J. Gudmundsen, Peter J. Leek, Terry P. Orlando, William D. Oliver, and Simon Gustavsson, “Coherence and decay of higher energy levels of a superconducting transmon qubit,” Physical Review Letters 114
2015
Earlier work this paper cites.
E. O. Kiktenko, A. K. Fedorov, O. V. Man’ko, and V. I. Man’ko, “Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities,” Physical Review A - Atomic, Molecular, and Optical Physics 91
2015
Earlier work this paper cites.
Daniel Greenbaum, “Introduction to Quantum Gate Set Tomography,” (2015)
2015
Earlier work this paper cites.
Andrew Richards, University of Oxford Advanced Research Computing (2015)
2015
Earlier work this paper cites.
L. S. Theis, F. Motzoi, and F. K. Wilhelm, “Simultaneous gates in frequency-crowded multilevel systems using fast, robust, analytic control shapes,” Physical Review A 93
2016
Cited alongside, same era.
Mehul Malik, Manuel Erhard, Marcus Huber, Mario Krenn, Robert Fickler, and Anton Zeilinger, “Multi-photon entanglement in high dimensions,” Nature Photonics 2016 10:4 10
2016
Cited alongside, same era.
Shruti Dogra, Kavita Dorai, and Arvind, “Experimental demonstration of quantum contextuality on an NMR qutrit,” Physics Letters A 380
2016
Cited alongside, same era.
2016
Cited alongside, same era.
Xinsheng Tan, Dan Wei Zhang, Wen Zheng, Xiaopei Yang, Shuqing Song, Zhikun Han, Yuqian Dong, Zhimin Wang, Dong Lan, Hui Yan, Shi Liang Zhu, and Yang Yu, “Experimental Observation of Tensor Monopoles with a Superconducting Qudit,” Physical Review Letters 126
2021
Later among the works it cites.
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2021
Later among the works it cites.
Archimedes Pavlidis and Emmanuel Floratos, “Quantum-Fourier-transform-based quantum arithmetic with qudits,” Physical Review A 103
2021
Later among the works it cites.
M. Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C. Benjamin, Suguru Endo, Keisuke Fujii, Jarrod R. McClean, Kosuke Mitarai, Xiao Yuan, Lukasz Cincio, and Patrick J. Coles, “Variational quantum algorithms,” Nature Reviews Physics 2021 3:9 3
2021
Later among the works it cites.
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P. J.J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, N. Ding, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Jeffrey, E. Lucero, A. Megrant, J. Y. Mutus, M. Neeley, C. Neill, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, P. V. Coveney, P. J. Love, H. Neven, A. Aspuru-Guzik, and J. M. Martinis, “Scalable quantum simulation of molecular energies,” Physical Review X 6
2016
Cited alongside, same era.
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2017
Cited alongside, same era.
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2017
Cited alongside, same era.
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2017
Cited alongside, same era.
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2017
Cited alongside, same era.
2017
Cited alongside, same era.
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2017
Cited alongside, same era.
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2018
Cited alongside, same era.
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2021
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2021
Later among the works it cites.
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2021
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2021
Later among the works it cites.
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2022
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2022
Later among the works it cites.
Martin Ringbauer, Michael Meth, Lukas Postler, Roman Stricker, Rainer Blatt, Philipp Schindler, and Thomas Monz, “A universal qudit quantum processor with trapped ions,” Nature Physics 18
2022
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2022
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2022
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2022
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Later among the works it cites.
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