A mixed-dimensional quantum MacWilliams identity is established relating Shor-Laflamme and unitary weight enumerators, yielding generalized Hamming, Singleton, and Scott bounds plus constraints on AME states.
Gottesman,Stabilizer codes and quantum error correction, Ph.D
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A tunable preprocessing stage in GKP Steane error correction minimizes the product of output position and momentum noise variances when 2a equals b in the small-noise regime and outperforms the ME-Steane scheme.
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The mixed-dimensional quantum MacWilliams identity: bounds for codes and absolutely maximally entangled states in heterogeneous systems
A mixed-dimensional quantum MacWilliams identity is established relating Shor-Laflamme and unitary weight enumerators, yielding generalized Hamming, Singleton, and Scott bounds plus constraints on AME states.
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Optimized Gottesman-Kitaev-Preskill Error Correction via Tunable Preprocessing
A tunable preprocessing stage in GKP Steane error correction minimizes the product of output position and momentum noise variances when 2a equals b in the small-noise regime and outperforms the ME-Steane scheme.