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Quantum codes typically rely on large numbers of degrees of freedom to achieve low error rates.
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2008
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2014
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Y. Ouyang, “Channel covariance, twirling, contraction, and some upper bounds on the quantum capacity,” Quantum Information and Computation
2014
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Y. Ouyang and R. Chao, “Permutation-invariant constant-excitation quantum codes for amplitude damping,” IEEE Transactions on Information Theory
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A. L. Grimsmo, J. Combes, and B. Q. Baragiola, “Quantum computing with rotation-symmetric bosonic codes,” Phys. Rev. X
2020
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B. M. Terhal, J. Conrad, and C. Vuillot, “Towards scalable bosonic quantum error correction,” Quantum Science and Technology
2020
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M. H. Michael, M. Silveri, R. T. Brierley, V. V. Albert, J. Salmilehto, L. Jiang, and S. M. Girvin, “New class of quantum error-correcting codes for a bosonic mode,” Phys. Rev. X
2016
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M. Tomamichel, M. Berta, and J. M. Renes, “Quantum coding with finite resources,” Nature communications
2016
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M. Tomamichel, M. M. Wilde, and A. Winter, “Strong converse rates for quantum communication,” IEEE Transactions on Information Theory
2016
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Y. Ouyang, “Permutation-invariant qudit codes from polynomials,” Linear Algebra and its Applications
2017
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V. V. Albert, K. Noh, K. Duivenvoorden, D. J. Young, R. Brierley, P. Reinhold, C. Vuillot, L. Li, C. Shen, S. Girvin, et al
2018
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M. E. Shirokov, “On the energy-constrained diamond norm and its application in quantum information theory,” Problems of Information Transmission
2018
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M. M. Wilde and H. Qi, “Energy-constrained private and quantum capacities of quantum channels,” IEEE Transactions on Information Theory
2018
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L. Hänggli, M. Heinze, and R. König, “Enhanced noise resilience of the surface–Gottesman-Kitaev-Preskill code via designed bias,” Phys. Rev. A
2020
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2020
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Y. Ouyang and C. Y. Lai, “Linear programming bounds for quantum amplitude damping codes,” in 2020 IEEE International Symposium on Information Theory (ISIT)
2020
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Y. Ouyang, S.-H. Tan, J. Fitzsimons, and P. P. Rohde, “Homomorphic encryption of linear optics quantum computation on almost arbitrary states of light with asymptotically perfect security,” Phys. Rev. Research
2020
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2020
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R. Movassagh and Y. Ouyang, “Constructing quantum codes from any classical code and their embedding in ground space of local hamiltonians,” 2020
2020
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A. Kubica and R. Demkowicz-Dobrzański, “Using quantum metrological bounds in quantum error correction: A simple proof of the approximate eastin-knill theorem,” Phys. Rev. Lett
2021
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