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We examine the use of weight enumerators for analyzing tensor network constructions, and specifically the quantum lego framework recently introduced.
A theorem on the distribution of weights in a systematic code
Jessie MacWilliams · 1963
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The theory of error correcting codes
Florence Jessie MacWilliams and Neil James Alexander Sloane · 1977
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Group representations, error bases and quantum codes
Emanuel Knill · 1996
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Non-binary unitary error bases and quantum codes
Emanuel Knill · 1996
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Quantum analog of the MacWilliams identities for classical coding theory
Peter Shor and Raymond Laflamme · 1997
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Quantum weight enumerators
Eric M Rains · 1998
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Shadow bounds for self-dual codes
Eric M Rains · 1998
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Quantum error detection. I. statement of the problem
Alexei E Ashikhmin, Alexander M Barg, Emanuel Knill, and Simon N Litsyn · 2000
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All teleportation and dense coding schemes
Reinhard F Werner · 2001
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AA Klappenecker and M Rotteler · 2002
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Ashley M Stephens, Zachary WE Evans, Simon J Devitt, and Lloyd CL Hollenberg · 2008
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Fernando Pastawski, Beni Yoshida, Daniel Harlow, and John Preskill · 2015
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Complete weight distributions and MacWilliams identities for asymmetric quantum codes
Chuangqiang Hu, Shudi Yang, and Stephen S-T Yau · 2019
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Weight enumerators for nonbinary asymmetric quantum codes and their applications
Chuangqiang Hu, Shudi Yang, and Stephen S-T Yau · 2020
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Terry Farrelly, David K. Tuckett, and Thomas M. Stace · 2021
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Approximate Bacon-Shor code and holography
ChunJun Cao and Brad Lackey · 2021
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Sergey Bravyi and Barbara Terhal · 2009
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In preparation
ChunJun Cao, Michael Gullans, Brad Lackey, and Zitao Wang
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ChunJun Cao and Brad Lackey · 2022
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The Sage Developers · 2022
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