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The quantum switch is a higher-order operation that takes as an input two quantum processes and combines them in a coherent superposition of two alternative orders.
Physical Review A
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IEEE Transactions on Information Theory
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In: Proceedings - Symposium on Logic in Computer Science
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Electronic Notes in Theoretical Computer Science
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EPL (Europhysics Letters)
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Electronic Notes in Theoretical Computer Science
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G Chiribella, GM D’Ariano, P Perinotti & B Valiron (2009): Beyond quantum computers · 2009
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Phys. Rev. A
Giulio Chiribella, Giacomo Mauro D’Ariano & Paolo Perinotti (2009): Theoretical framework for quantum networks · 2009
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Contemporary Physics
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Physical Review Letters
Sergio Boixo & Chris Heunen (2012): Entangled and sequential quantum protocols with dephasing · 2012
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Physical Review A - Atomic, Molecular, and Optical Physics
Giulio Chiribella (2012): Perfect discrimination of no-signalling channels via quantum superposition of causal structures · 2012
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Physics Letters A
Timoteo Colnaghi, Giacomo Mauro D’Ariano, Stefano Facchini & Paolo Perinotti (2012): Quantum computation with programmable connections between gates · 2012
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Nature Communications
Ognyan Oreshkov, Fabio Costa & Časlav Brukner (2012): Quantum correlations with no causal order · 2012
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Physical Review A - Atomic, Molecular, and Optical Physics
Giulio Chiribella, Giacomo Mauro D’Ariano, Paolo Perinotti & Benoit Valiron (2013): Quantum computations without definite causal structure · 2013
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Foundations of Physics
Bob Coecke & Raymond Lal (2013): Causal Categories: Relativistically Interacting Processes · 2013
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Proceedings - Symposium on Logic in Computer Science
Jamie Vicary (2012): The Topology of Quantum Algorithms · 2013
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Cambridge University Press, Cambridge, 10.1017/CBO9781139525343
Mark M. Wilde (2013): Quantum Information Theory · 2013
Discrete Mathematics, Algorithms and Applications
K. L.M. Adamyk, E. Holmes, G. R. Mayfield, D. J. Moritz, M. Scheepers, B. E. Tenner & H. C. Wauck (2017): Sorting permutations: Games, genomes, and cycles · 2017
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Stefano Gogioso & Aleks Kissinger (2017): Fully graphical treatment of the quantum algorithm for the Hidden Subgroup Problem · 2017
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Aleks Kissinger, Sean Tull & Bas Westerbaan (2017): Picture-perfect Quantum Key Distribution · 2017
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Giulio Chiribella, Manik Banik, Some Sankar Bhattacharya, Tamal Guha, Mir Alimuddin, Arup Roy, Sutapa Saha, Sristy Agrawal & Guruprasad Kar (2018): Indefinite causal order enables perfect quantum communication with zero capacity channel · 2018
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Physical Review Letters
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Physical Review Letters
Mateus Araújo, Fabio Costa & Časlav Brukner (2014): Computational advantage from quantum-controlled ordering of gates · 2014
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Physical Review A - Atomic, Molecular, and Optical Physics
André Ranchin & Bob Coecke (2014): Complete set of circuit equations for stabilizer quantum mechanics · 2014
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In: Electronic Proceedings in Theoretical Computer Science, EPTCS
William Zeng & Jamie Vicary (2014): Abstract structure of unitary oracles for quantum algorithms · 2014
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In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Stefano Facchini & Simon Perdrix (2015): Quantum circuits for the unitary permutation problem · 2015
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arXiv: 21611.08012
Nicholas Chancellor, Aleks Kissinger, Joschka Roffe, Stefan Zohren & Dominic Horsman (2016): Graphical Structures for Design and Verification of Quantum Error Correction · 2016
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Physical Review Letters
Philippe Allard Guérin, Adrien Feix, Mateus Araújo & Časlav Brukner (2016): Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication · 2016
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Daniel Ebler, Sina Salek & Giulio Chiribella (2018): Enhanced Communication with the Assistance of Indefinite Causal Order · 2018
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Chiranjib Mukhopadhyay, Manish K. Gupta & Arun Kumar Pati (2018): Superposition of causal order as a metrological resource for quantum thermometry · 2018
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Sina Salek, Daniel Ebler & Giulio Chiribella (2018): Quantum communication in a superposition of causal orders · 2018
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Physical Review A
Philippe Allard Guérin, Giulia Rubino & Časlav Brukner (2019): Communication through quantum-controlled noise · 2019
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Logical Methods in Computer Science
Aleks Kissinger & Sander Uijlen (2019): A categorical semantics for causal structure · 2019
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New Journal of Physics
Hlér Kristjánsson, Giulio Chiribella, Sina Salek, Daniel Ebler & Matthew Wilson (2020): Resource theories of communication · 2020
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Physical Review A
Lorenzo M. Procopio, Francisco Delgado, Marco Enríquez, Nadia Belabas & Juan Ariel Levenson (2020): Sending classical information via three noisy channels in superposition of causal orders · 2020
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Physical Review Letters
Xiaobin Zhao, Yuxiang Yang & Giulio Chiribella (2020): Quantum Metrology with Indefinite Causal Order · 2020
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