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Linear optics is a promising alternative for the realization of quantum computation protocols due to the recent advancements in integrated photonic technology.
Register allocation & spilling via graph coloring
G. J. Chaitin · 1982
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Determining the total colouring number is np-hard
Abdón Sánchez-Arroyo · 1989
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Computers and Intractability; A Guide to the Theory of NP-Completeness
Michael R. Garey and David S. Johnson · 1990
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Trust Region Methods
Andrew R. Conn, Nicholas I. M. Gould, and Philippe L. Toint · 2000
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A scheme for efficient quantum computation with linear optics
E. Knill, R. Laflamme, and G. J. Milburn · 2001
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Persistent entanglement in arrays of interacting particles
Hans J. Briegel and Robert Raussendorf · 2001
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Quantum gates using linear optics and postselection
E. Knill · 2002
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Quantum computation based on d-level cluster state
D. L. Zhou, B. Zeng, Z. Xu, and C. P. Sun · 2003
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Quantum gates on hybrid qudits
Jamil Daboul, Xiaoguang Wang, and Barry C Sanders · 2003
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Permanents in linear optical networks, 2004
Stefan Scheel · 2004
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Optical quantum computation using cluster states
Michael A. Nielsen · 2004
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Resource-efficient linear optical quantum computation
Daniel E. Browne and Terry Rudolph · 2005
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Cluster state quantum computation for many-level systems, 2005
William Hall · 2005
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Cluster-state quantum computation
Michael A. Nielsen · 2006
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Percolation, renormalization, and quantum computing with nondeterministic gates
K. Kieling, T. Rudolph, and J. Eisert · 2007
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Improved exact algorithms for counting 3- and 4-colorings
Fedor V. Fomin, Serge Gaspers, and Saket Saurabh · 2007
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Generic two-qubit photonic gates implemented by number-resolving photodetection
Dmitry B. Uskov, A. Matthew Smith, and Lev Kaplan · 2010
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Waveguide superconducting single-photon detectors for integrated quantum photonic circuits
J. P. Sprengers, A. Gaggero, D. Sahin, S. Jahanmirinejad, G. Frucci, F. Mattioli, R. Leoni, J. Beetz, M. Lermer, M. Kamp, S. Höfling, R. Sanjines, and A. Fiore · 2011
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Experimental quantum tomography of photonic qudits via mutually unbiased basis
G. Lima, L. Neves, R. Guzmán, E. S. Gómez, W. A. T. Nogueira, A. Delgado, A. Vargas, and C. Saavedra · 2011
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High-speed and high-efficiency travelling wave single-photon detectors embedded in nanophotonic circuits
W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang · 2012
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Photon pair generation in a silicon micro-ring resonator with reverse bias enhancement
Erman Engin, Damien Bonneau, Chandra M. Natarajan, Alex S. Clark, M. G. Tanner, R. H. Hadfield, Sanders N. Dorenbos, Val Zwiller, Kazuya Ohira, Nobuo Suzuki, Haruhiko Yoshida, Norio Iizuka, Mizunori Ezaki, Jeremy L. O’Brien, and Mark G. Thompson · 2013
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The power of qutrit logic for quantum computation
Ming-Xing Luo, Song-Ya Ma, Xiu-Bo Chen, and Yi-Xian Yang · 2013
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A quantum approximate optimization algorithm, 2014
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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Experimental simulation of decoherence in photonics qudits
B. Marques, A. A. Matoso, W. M. Pimenta, A. J. Gutiérrez-Esparza, M. F. Santos, and S. Pádua · 2015
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Experimental realization of quantum tomography of photonic qudits via symmetric informationally complete positive operator-valued measures
N. Bent, H. Qassim, A. A. Tahir, D. Sych, G. Leuchs, L. L. Sánchez-Soto, E. Karimi, and R. W. Boyd · 2015
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Quantum computational advantage using photons
Han-Sen Zhong, Hui Wang, Yu-Hao Deng, Ming-Cheng Chen, Li-Chao Peng, Yi-Han Luo, Jian Qin, Dian Wu, Xing Ding, Yi Hu, Peng Hu, Xiao-Yan Yang, Wei-Jun Zhang, Hao Li, Yuxuan Li, Xiao Jiang, Lin Gan, Guangwen Yang, Lixing You, Zhen Wang, Li Li, Nai-Le Liu, Chao-Yang Lu, and Jian-Wei Pan · 2020
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Toward quantum gate-model heuristics for real-world planning problems
Tobias Stollenwerk, Stuart Hadfield, and Zhihui Wang · 2020
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Quantum optimization for the graph coloring problem with space-efficient embedding
Zsolt Tabi, Kareem H El-Safty, Zsófia Kallus, Péter Hága, Tamás Kozsik, Adam Glos, and Zoltán Zimborás · 2020
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A universal fully reconfigurable 12-mode quantum photonic processor
Caterina Taballione, Reinier van der Meer, Henk J Snijders, Peter Hooijschuur, Jörn P Epping, Michiel de Goede, Ben Kassenberg, Pim Venderbosch, Chris Toebes, Hans van den Vlekkert, Pepijn W H Pinkse, and Jelmer J Renema · 2021
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Qutrit-based semi-quantum key distribution protocol
Hasnaa Hajji and Morad El Baz · 2021
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Topological phases with parafermions: Theory and blueprints
Jason Alicea and Paul Fendley · 2016
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Optimal design for universal multiport interferometers
William R. Clements, Peter C. Humphreys, Benjamin J. Metcalf, W. Steven Kolthammer, and Ian A. Walmsley · 2016
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Chip-based array of near-identical, pure, heralded single-photon sources
Justin B. Spring, Paolo L. Mennea, Benjamin J. Metcalf, Peter C. Humphreys, James C. Gates, Helen L. Rogers, Christoph Söller, Brian J. Smith, W. Steven Kolthammer, Peter G. R. Smith, and Ian A. Walmsley · 2017
Cited alongside, same era.
Waveguide-integrated superconducting nanowire single-photon detectors
Simone Ferrari, Carsten Schuck, and Wolfram Pernice · 2018
Cited alongside, same era.
Coupled superconducting qudit-resonator system: Energy spectrum, state population, and state transition under microwave drive
W. Y. Liu, H. K. Xu, F. F. Su, Z. Y. Li, Ye Tian, Siyuan Han, and S. P. Zhao · 2018
Cited alongside, same era.
Universal quantum computing with parafermions assisted by a half-fluxon
Arpit Dua, Boris Malomed, Meng Cheng, and Liang Jiang · 2019
Cited alongside, same era.
High-dimensional one-way quantum processing implemented on d-level cluster states
Christian Reimer, Stefania Sciara, Piotr Roztocki, Mehedi Islam, Luis Romero Cortés, Yanbing Zhang, Bennet Fischer, Sébastien Loranger, Raman Kashyap, Alfonso Cino, Sai T. Chu, Brent E. Little, David J. Moss, Lucia Caspani, William J. Munro, José Azaña, Michael Kues, and Roberto Morandotti · 2019
Cited alongside, same era.
Phase-programmable gaussian boson sampling using stimulated squeezed light
Han-Sen Zhong, Yu-Hao Deng, Jian Qin, Hui Wang, Ming-Cheng Chen, Li-Chao Peng, Yi-Han Luo, Dian Wu, Si-Qiu Gong, Hao Su, Yi Hu, Peng Hu, Xiao-Yan Yang, Wei-Jun Zhang, Hao Li, Yuxuan Li, Xiao Jiang, Lin Gan, Guangwen Yang, Lixing You, Zhen Wang, Li Li, Nai-Le Liu, Jelmer J. Renema, Chao-Yang Lu, and Jian-Wei Pan · 2021
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Quantum-inspired formulations for the max k-cut problem
Ramin Fakhimi, Hamidreza Validi, I. Hicks, Tamás Terlaky, and Luis Zuluaga · 2021
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Efficient encoding of the weighted max k-cut on a quantum computer using qaoa
Franz G Fuchs, Herman Øie Kolden, Niels Henrik Aase, and Giorgio Sartor · 2021
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Ultra-low loss quantum photonic circuits integrated with single quantum emitters
Ashish Chanana, Hugo Larocque, Renan Moreira, Jacques Carolan, Biswarup Guha, Emerson G. Melo, Vikas Anant, Jindong Song, Dirk Englund, Daniel J. Blumenthal, Kartik Srinivasan, and Marcelo Davanco · 2022
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Entanglement distribution with minimal memory requirements using time-bin photonic qudits
Yunzhe Zheng, Hemant Sharma, and Johannes Borregaard · 2022
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Quantum computational advantage with a programmable photonic processor
Lars S. Madsen, Fabian Laudenbach, Mohsen Falamarzi. Askarani, Fabien Rortais, Trevor Vincent, Jacob F. F. Bulmer, Filippo M. Miatto, Leonhard Neuhaus, Lukas G. Helt, Matthew J. Collins, Adriana E. Lita, Thomas Gerrits, Sae Woo Nam, Varun D. Vaidya, Matteo Menotti, Ish Dhand, Zachary Vernon, Nicolás Quesada, and Jonathan Lavoie · 2022
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Applications of graph coloring in various fields
Satish Thadani, Seema Bagora, and Anand Sharma · 2022
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Exponential-time quantum algorithms for graph coloring problems
Kazuya Shimizu and Ryuhei Mori · 2022
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Solving boolean satisfiability problems with the quantum approximate optimization algorithm, 2022
Sami Boulebnane and Ashley Montanaro · 2022
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Near-optimal circuit design for variational quantum optimization
Bence Bakó, Adam Glos, Özlem Salehi, and Zoltán Zimborás · 2022
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Hybrid quantum-classical algorithms for approximate graph coloring
Sergey Bravyi, Alexander Kliesch, Robert Koenig, and Eugene Tang · 2022
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Quantum approximate optimization algorithm for qudit systems with long-range interactions, 2022
Yannick Deller, Sebastian Schmitt, Maciej Lewenstein, Steve Lenk, Marika Federer, Fred Jendrzejewski, Philipp Hauke, and Valentin Kasper · 2022
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High-performance cavity-enhanced quantum memory with warm atomic cell
Lixia Ma, Xing Lei, Jieli Yan, Ruiyang Li, Ting Chai, Zhihui Yan, Xiaojun Jia, Changde Xie, and Kunchi Peng · 2022
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Deterministic generation of qudit photonic graph states from quantum emitters, 2022
Zahra Raissi, Edwin Barnes, and Sophia E. Economou · 2022
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