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Most quantum computing architectures to date natively support multi-valued logic, albeit being typically operated in a binary fashion.
“On the limited memory BFGS method for large scale optimization”
Dong. Liu and Jorge Nocedal · 1989
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“Information Storage and Retrieval Through Quantum Phase”
J. Ahn, T.C. Weinacht and P.H. Bucksbaum · 2000
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“An arbitrary two-qubit computation in 23 elementary gates or less”
S.S. Bullock and I.L. Markov · 2003
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“Asymptotically Optimal Quantum Circuits ford-Level Systems”
Stephen Bullock, Dianne O’Leary and Gavin Brennen · 2005
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“Efficient circuits for exact-universal computations with qudits”, 2005
Gavin Brennen, Stephen Bullock and Dianne O’Leary · 2005
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“Simplifying quantum logic using higher-dimensional Hilbert spaces”
Benjamin. Lanyon et al · 2008
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“An alternative quantum fidelity for mixed states of qudits”
Xiaoguang Wang, Chang-shui Yu and X.. Yi · 2008
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“Quantum entanglement”
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki and Karol Horodecki · 2009
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“Universal quantum computation and quantum error correction with ultracold atomic mixtures”, 2020
Valentin Kasper et al · 2010
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“Quantum Computation and Quantum Information: 10th Anniversary Edition”
Michael. Nielsen and Isaac. Chuang · 2011
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“Composite parameterization and Haar measure for all unitary and special unitary groups”
Christoph Spengler, Marcus Huber and Beatrix. Hiesmayr · 2012
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“Structure of Multidimensional Entanglement in Multipartite Systems”
Marcus Huber and Julio. de Vicente · 2013
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“State-Independent Experimental Test of Quantum Contextuality with a Single Trapped Ion”
Xiang Zhang et al · 2013
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“Global quantum circuit optimization”
Raphael da Silva, Einar Pius and Elham Kashefi · 2013
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“Implementing quantum control for unknown subroutines”
Nicolai Friis, Vedran Dunjko, Wolfgang Dür and Hans. Briegel · 2014
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“Computational speed-up with a single qudit”
Z. Gedik et al · 2015
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“Linear optical demonstration of quantum speed-up with a single qudit”
Xiang Zhan et al · 2015
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“Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System”
B.. Anderson et al · 2015
Cited alongside, same era.
“Multi-photon entanglement in high dimensions”
Mehul Malik et al · 2016
Cited alongside, same era.
“Compiling quantum algorithms for architectures with multi-qubit gates”
Esteban Martinez et al · 2016
Cited alongside, same era.
“Operating Quantum States in Single Magnetic Molecules: Implementation of Grover’s Quantum Algorithm”
C. Godfrin et al · 2017
Cited alongside, same era.
“Quantum computing in the NISQ era and beyond”
John Preskill · 2018
Cited alongside, same era.
“Certification and Quantification of Multilevel Quantum Coherence”
Martin Ringbauer et al · 2018
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“Array programming with NumPy”
Charles. Harris · 2020
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“Graph-theoretic Simplification of Quantum Circuits with the ZX-calculus”
Ross Duncan, Aleks Kissinger, Simon Perdrix and John van Wetering · 2020
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“Reducing the number of non-Clifford gates in quantum circuits”
Aleks Kissinger and John van Wetering · 2020
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“Compact Ion-Trap Quantum Computing Demonstrator”
Ivan Pogorelov et al · 2021
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“A universal qudit quantum processor with trapped ions”, 2021
Martin Ringbauer et al · 2021
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“Characterization of control in a superconducting qutrit using randomized benchmarking”
M Kononenko et al · 2021
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“Beating the channel capacity limit for superdense coding with entangled ququarts”
Xiao-Min Hu et al · 2018
Cited alongside, same era.
“On the Complexity of Quantum Circuit Compilation”
Adi Botea, Akihiro Kishimoto and Radu Marinescu · 2018
Cited alongside, same era.
“Quantum supremacy using a programmable superconducting processor”
Frank Arute et al · 2019
Cited alongside, same era.
“Photonic quantum information processing: A review”
Fulvio Flamini, Nicolò Spagnolo and Fabio Sciarrino · 2019
Cited alongside, same era.
“Entanglement in Higher-Radix Quantum Systems”
Kaitlin Smith and Mitchell Thornton · 2019
Cited alongside, same era.
“A quantum compiler for qudits of prime dimension greater than 3.”
Luke. Heyfron and Earl. Campbell · 2019
Cited alongside, same era.
Later among the works it cites.
“Qutrit Randomized Benchmarking”
A. Morvan et al · 2021
Later among the works it cites.
“Solving correlation clustering with QAOA and a Rydberg qudit system: a full-stack approach”, 2021
Jordi. Weggemans et al · 2021
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“Variational quantum algorithms”
M. Cerezo et al · 2021
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“Wavelength-insensitive, multispecies entangling gate for group-2 atomic ions”
Brian. Sawyer and Kenton. Brown · 2021
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“Theory of overparametrization in quantum neural networks”
Martin Larocca et al · 2021
Later among the works it cites.
“Qufinite ZX-calculus: a unified framework of qudit ZX-calculi”
Quanlong Wang · 2021
Later among the works it cites.
“A programmable qudit-based quantum processor”
Yulin Chi et al · 2022
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“Native qudit entanglement in a trapped ion quantum processor”, 2022
Pavel Hrmo et al · 2022
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“Noisy intermediate-scale quantum algorithms”
Kishor Bharti et al · 2022
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“Adaptive Compilation of Multi-Level Quantum Operations”
Kevin Mato, Martin Ringbauer, Stefan Hillmich and Robert Wille · 2022
Later among the works it cites.