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We introduce a flexible and graphically intuitive framework that constructs complex quantum error correction codes from simple codes or states, generalizing code concatenation.
Linear transformations which preserve trace and positive semidefiniteness of operators
A. Jamiołkowski · 1972
Earlier work this paper cites.
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Man-Duen Choi · 1975
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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An Introduction to Topological Quantum Codes
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Majorana dimers and holographic quantum error-correcting codes
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Universal Fault-Tolerant Quantum Computation with Only Transversal Gates and Error Correction
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Andrew J. Ferris and David Poulin · 2014
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Class of Highly Entangled Many-Body States that can be Efficiently Simulated
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2D Compass Codes
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Decoding Holographic Codes with an Integer Optimisation Decoder
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Central charges of aperiodic holographic tensor-network models
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Tensor network models of AdS/qCFT
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Dynamical Purification Phase Transition Induced by Quantum Measurements
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