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This paper proves optimal tradeoffs between the locality and parameters of quantum error-correcting codes.
Explicit estimates for the error term in the prime number theorem for arithmetic progressions
Kevin S McCurley · 1984
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Peter W Shor · 1996
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Fault-tolerant quantum computation with constant error
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A Robert Calderbank, Eric M Rains, Peter W Shor, and Neil JA Sloane · 1997
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A Yu Kitaev · 1997
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Emanuel Knill, Raymond Laflamme, and Wojciech H Zurek · 1998
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Michael H Freedman, David A Meyer, and Feng Luo · 2002
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Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
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Quantum accuracy threshold for concatenated distance-3 codes
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Topological quantum distillation
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Sergey Bravyi, David Poulin, and Barbara Terhal · 2010
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Surface code quantum computing by lattice surgery
Clare Horsman, Austin G Fowler, Simon Devitt, and Rodney Van Meter · 2012
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Tradeoffs for reliable quantum information storage in surface codes and color codes
Nicolas Delfosse · 2013
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Quantum kronecker sum-product low-density parity-check codes with finite rate
Alexey A Kovalev and Leonid P Pryadko · 2013
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Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds
Larry Guth and Alexander Lubotzky · 2014
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Decoding in hyperbolic spaces: Quantum LDPC codes with linear rate and efficient error correction
Matthew B. Hastings · 2014
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Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects
C Monroe, R Raussendorf, A Ruthven, KR Brown, P Maunz, L-M Duan, and J Kim · 2014
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Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength
Jean-Pierre Tillich and Gilles Zémor · 2014
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Universal transversal gates with color codes: A simplified approach
Aleksander Kubica and Michael E Beverland · 2015
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Constructions and noise threshold of hyperbolic surface codes
Nikolas P Breuckmann and Barbara M Terhal · 2016
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The Probabilistic Method, 4th Edition
Joel H. Spencer Noga Alon · 2016
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Limits on the storage of quantum information in a volume of space
Steven T Flammia, Jeongwan Haah, Michael J Kastoryano, and Isaac H Kim · 2017
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Experimental comparison of two quantum computing architectures
Norbert M Linke, Dmitri Maslov, Martin Roetteler, Shantanu Debnath, Caroline Figgatt, Kevin A Landsman, Kenneth Wright, and Christopher Monroe · 2017
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Deterministic quantum state transfer and remote entanglement using microwave photons
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Quantifying nonlocality: How outperforming local quantum codes is expensive
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A quantum processor based on coherent transport of entangled atom arrays
Dolev Bluvstein, Harry Levine, Giulia Semeghini, Tout T Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, et al · 2022
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The future of quantum computing with superconducting qubits
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Decodable quantum ldpc codes beyond the n distance barrier using high-dimensional expanders
Shai Evra, Tali Kaufman, and Gilles Zémor · 2022
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A linear-algebraic and lattice-theoretical look at the cleaning lemma of quantum coding theory
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Deterministic bidirectional communication and remote entanglement generation between superconducting qubits
N Leung, Y Lu, S Chakram, RK Naik, N Earnest, R Ma, K Jacobs, AN Cleland, and DI Schuster · 2019
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Vivien Londe and Anthony Leverrier · 2019
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Silicon-integrated telecommunications photon-spin interface
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Interleaving: Modular architectures for fault-tolerant photonic quantum computing
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Balanced product quantum codes
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Asymptotically good quantum and locally testable classical ldpc codes
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A lower bound on the overhead of quantum error correction in low dimensions
Nouédyn Baspin, Omar Fawzi, and Ala Shayeghi · 2023
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Improved rate-distance trade-offs for quantum codes with restricted connectivity
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Geometrically local quantum and classical codes from subdivision
Ting-Chun Lin, Adam Wills, and Min-Hsiu Hsieh · 2023
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Hierarchical memories: Simulating quantum ldpc codes with local gates
Christopher A Pattison, Anirudh Krishna, and John Preskill · 2023
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Local quantum codes from subdivided manifolds
Elia Portnoy · 2023
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Dominic J Williamson and Nouédyn Baspin · 2023
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Toward a 2d local implementation of quantum ldpc codes
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Long-range-enhanced surface codes
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Transform arbitrary good quantum ldpc codes into good geometrically local codes in any dimension
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