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Dynamical quantum error-correcting codes (QECC) offer wider possibilities in how one can protect logical quantum information from noise and perform fault-tolerant quantum computation compared to static QECCs.
A fast quantum mechanical algorithm for database search, 1996
Lov K. Grover · 1996
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Stabilizer codes and quantum error correction
Daniel Gottesman · 1997
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Fault-tolerant quantum computation with constant error
Dorit Aharonov and Michael Ben-Or · 1997
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The heisenberg representation of quantum computers
Daniel Gottesman · 1998
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W Shor · 1999
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Optimal eavesdropping in cryptography with three-dimensional quantum states
Dagmar Bruss and Chiara Macchiavello · 2002
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Security of quantum key distribution using d-level systems
Nicolas J Cerf, Mohamed Bourennane, Anders Karlsson, and Nicolas Gisin · 2002
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Security of quantum key distribution with entangled qutrits
Thomas Durt, Nicolas J Cerf, Nicolas Gisin, and Marek Żukowski · 2003
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Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
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Security of quantum key distributions with entangled qudits
Thomas Durt, Dagomir Kaszlikowski, Jing-Ling Chen, and Leong Chuan Kwek · 2004
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Quantum systems with finite hilbert space
Apostolos Vourdas · 2004
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Stabilizer formalism for operator quantum error correction
David Poulin · 2005
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Qudit surface codes and gauge theory with finite cyclic groups
Stephen S Bullock and Gavin K Brennen · 2007
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Quantum-error-correcting codes using qudit graph states
Shiang Yong Looi, Li Yu, Vlad Gheorghiu, and Robert B Griffiths · 2008
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Emulation of a quantum spin with a superconducting phase qudit
Matthew Neeley, Markus Ansmann, Radoslaw C Bialczak, Max Hofheinz, Erik Lucero, Aaron D O’Connell, Daniel Sank, Haohua Wang, James Wenner, Andrew N Cleland, et al · 2009
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Topological quantum codes on compact surfaces with genus g¿=2
CD Albuquerque, R Palazzo, and EB Silva · 2009
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Vertex-, face-, point-, schläfli-, and delaney-symbols in nets, polyhedra and tilings: recommended terminology
VA Blatov, M O’keeffe, and DM Proserpio · 2010
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Magic-state distillation in all prime dimensions using quantum reed-muller codes
Earl T Campbell, Hussain Anwar, and Dan E Browne · 2012
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Implementation of a toffoli gate with superconducting circuits
Arkady Fedorov, Lars Steffen, Matthias Baur, Marcus P da Silva, and Andreas Wallraff · 2012
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Kitaev’s z d-code threshold estimates
Guillaume Duclos-Cianci and David Poulin · 2013
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Tradeoffs for reliable quantum information storage in surface codes and color codes
Nicolas Delfosse · 2013
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Enhanced fault-tolerant quantum computing in d-level systems
Earl T Campbell · 2014
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Fast decoders for qudit topological codes
Hussain Anwar, Benjamin J Brown, Earl T Campbell, and Dan E Browne · 2014
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Universal quantum computation with qudits
MingXing Luo and XiaoJun Wang · 2014
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Geometry of quantum computation with qudits
Ming-Xing Luo, Xiu-Bo Chen, Yi-Xian Yang, and Xiaojun Wang · 2014
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Standard form of qudit stabilizer groups
Vlad Gheorghiu · 2014
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Lectures on topological codes and quantum computation, 2014
Dan Browne · 2014
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Error thresholds for abelian quantum double models: Increasing the bit-flip stability of topological quantum memory
Ruben S Andrist, James R Wootton, and Helmut G Katzgraber · 2015
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Qudit color codes and gauge color codes in all spatial dimensions
Fern HE Watson, Earl T Campbell, Hussain Anwar, and Dan E Browne · 2015
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Improved hdrg decoders for qudit and non-abelian quantum error correction
Adrian Hutter, Daniel Loss, and James R Wootton · 2015
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Fast fault-tolerant decoder for qubit and qudit surface codes
Fern HE Watson, Hussain Anwar, and Dan E Browne · 2015
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Surviving as a quantum computer in a classical world
Daniel Gottesman · 2016
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Finite-key security analysis for multilevel quantum key distribution
Kamil Brádler, Mohammad Mirhosseini, Robert Fickler, Anne Broadbent, and Robert Boyd · 2016
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High-dimensional quantum cloning and applications to quantum hacking
Frédéric Bouchard, Robert Fickler, Robert W Boyd, and Ebrahim Karimi · 2017
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Quantum error-correcting codes for qudit amplitude damping
Markus Grassl, Linghang Kong, Zhaohui Wei, Zhang-Qi Yin, and Bei Zeng · 2018
Cited alongside, same era.
Propagation of generalized pauli errors in qudit clifford circuits
Daniel Miller, Timo Holz, Hermann Kampermann, and Dagmar Bruß · 2018
Hyperbolic floquet quantum error correcting codes
Ali Fahimniya, Sheryl Mathew, Hossein Dehghani, Kishor Bharti, Alicia Kollar, Alexey Gorshkov, and Michael Gullans · 2023
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Performance of planar floquet codes with majorana-based qubits
Adam Paetznick, Christina Knapp, Nicolas Delfosse, Bela Bauer, Jeongwan Haah, Matthew B Hastings, and Marcus P da Silva · 2023
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Constructions and performance of hyperbolic and semi-hyperbolic floquet codes
Oscar Higgott and Nikolas P Breuckmann · 2023
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Measurement quantum cellular automata and anomalies in floquet codes, 2023
David Aasen, Jeongwan Haah, Zhi Li, and Roger S. K. Mong · 2023
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X-cube floquet code: A dynamical quantum error correcting code with a subextensive number of logical qubits
Zhehao Zhang, David Aasen, and Sagar Vijay · 2023
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Multidimensional quantum entanglement with large-scale integrated optics
Jianwei Wang, Stefano Paesani, Yunhong Ding, Raffaele Santagati, Paul Skrzypczyk, Alexia Salavrakos, Jordi Tura, Remigiusz Augusiak, Laura Mančinska, Davide Bacco, et al · 2018
Cited alongside, same era.
Sustained state-independent quantum contextual correlations from a single ion
Florian M Leupold, Maciej Malinowski, Chi Zhang, Vlad Negnevitsky, Adán Cabello, Joseba Alonso, and Jonathan P Home · 2018
Cited alongside, same era.
Asymptotic improvements to quantum circuits via qutrits
Pranav Gokhale, Jonathan M Baker, Casey Duckering, Natalie C Brown, Kenneth R Brown, and Frederic T Chong · 2019
Cited alongside, same era.
High-dimensional quantum communication: benefits, progress, and future challenges
Daniele Cozzolino, Beatrice Da Lio, Davide Bacco, and Leif Katsuo Oxenløwe · 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 Cortes, Yanbing Zhang, Bennet Fischer, Sebastien Loranger, Raman Kashyap, Alfonso Cino, et al · 2019
Cited alongside, same era.
Scalable quantum computing with qudits on a graph
Evgeniy O Kiktenko, Anastasiia S Nikolaeva, Peng Xu, Georgy V Shlyapnikov, and Arkady K Fedorov · 2020
Cited alongside, same era.
Hector Bombin, Daniel Litinski, Naomi Nickerson, Fernando Pastawski, and Sam Roberts · 2023
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Alex Townsend-Teague, Julio Magdalena de la Fuente, and Markus Kesselring · 2023
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Tyler D Ellison, Joseph Sullivan, and Arpit Dua · 2023
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Floquet codes and phases in twist-defect networks
Joseph Sullivan, Rui Wen, and Andrew C Potter · 2023
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Relaxing hardware requirements for surface code circuits using time-dynamics
Matt McEwen, Dave Bacon, and Craig Gidney · 2023
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Quantum computation from dynamic automorphism codes
Margarita Davydova, Nathanan Tantivasadakarn, Shankar Balasubramanian, and David Aasen · 2023
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Non–pauli errors can be efficiently sampled in qudit surface codes
Yue Ma, Michael Hanks, and MS Kim · 2023
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Realization of quantum algorithms with qudits, 2023
Evgeniy O. Kiktenko, Anastasiia S. Nikolaeva, and Aleksey K. Fedorov · 2023
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Simulating 2d lattice gauge theories on a qudit quantum computer
Michael Meth, Jan F Haase, Jinglei Zhang, Claire Edmunds, Lukas Postler, Alex Steiner, Andrew J Jena, Luca Dellantonio, Rainer Blatt, Peter Zoller, et al · 2023
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Two-qutrit quantum algorithms on a programmable superconducting processor
Tanay Roy, Ziqian Li, Eliot Kapit, and DavidI Schuster · 2023
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Native qudit entanglement in a trapped ion quantum processor
Pavel Hrmo, Benjamin Wilhelm, Lukas Gerster, Martin W van Mourik, Marcus Huber, Rainer Blatt, Philipp Schindler, Thomas Monz, and Martin Ringbauer · 2023
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Spacetime codes of clifford circuits, 2023
Nicolas Delfosse and Adam Paetznick · 2023
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Pauli topological subsystem codes from abelian anyon theories
Tyler D Ellison, Yu-An Chen, Arpit Dua, Wilbur Shirley, Nathanan Tantivasadakarn, and Dominic J Williamson · 2023
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Partial syndrome measurement for hypergraph product codes
Noah Berthusen and Daniel Gottesman · 2023
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Paul Hilaire, Théo Dessertaine, Boris Bourdoncle, Aurélie Denys, Grégoire de Gliniasty, Gerard Valentí-Rojas, and Shane Mansfield · 2024
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Engineering 3d floquet codes by rewinding
Arpit Dua, Nathanan Tantivasadakarn, Joseph Sullivan, and Tyler D Ellison · 2024
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Dynamical logical qubits in the bacon-shor code, 2024
M. Sohaib Alam and Eleanor Rieffel · 2024
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Error correction in dynamical codes
Xiaozhen Fu and Daniel Gottesman · 2024
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Anyon condensation and the color code
Markus S Kesselring, Julio C Magdalena de la Fuente, Felix Thomsen, Jens Eisert, Stephen D Bartlett, and Benjamin J Brown · 2024
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Strategic code: A unified spatio-temporal framework for quantum error-correction
Andrew Tanggara, Mile Gu, and Kishor Bharti · 2024
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Error-corrected quantum repeaters with gottesman-kitaev-preskill qudits
Frank Schmidt, Daniel Miller, and Peter van Loock · 2024
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Trellis decoding for qudit stabilizer codes and its application to qubit topological codes
Eric Sabo, Arun B Aloshious, and Kenneth R Brown · 2024
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Quantum error correction of qudits beyond break-even, 2024
Benjamin L. Brock, Shraddha Singh, Alec Eickbusch, Volodymyr V. Sivak, Andy Z. Ding, Luigi Frunzio, Steven M. Girvin, and Michel H. Devoret · 2024
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Efficient realization of quantum algorithms with qudits
Anastasiia S. Nikolaeva, Evgeniy O. Kiktenko, and Aleksey K. Fedorov · 2024
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