Graph completeness encodes full exchange symmetry while directed orientation on complete graphs encodes full antisymmetry in multipartite quantum states.
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A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
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Symmetric and Antisymmetric Quantum States from Graph Structure and Orientation
Graph completeness encodes full exchange symmetry while directed orientation on complete graphs encodes full antisymmetry in multipartite quantum states.
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Fault-tolerant syndrome extraction in [[n,1,3]] non-CSS code family generated using measurements on graph states
A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
- Game-Theoretic Discovery of Quantum Error-Correcting Codes Through Nash Equilibria