Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
Nonbinary quantum stabilizer codes
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes over $GF_{4}$ and binary quantum codes to one between selforthogonal codes over $GF_{q^2}$ and $q$-ary quantum codes for any prime power $q$.
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A review that defines Galois qudits over binary extension fields, their Clifford hierarchies, Pauli measurements, stabilizer tableaux, qubit mappings, and quantum Reed-Solomon codes.
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Gauss law codes and vacuum codes from lattice gauge theories
Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
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A Review of Galois Qudits
A review that defines Galois qudits over binary extension fields, their Clifford hierarchies, Pauli measurements, stabilizer tableaux, qubit mappings, and quantum Reed-Solomon codes.