4 problems
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The conjecture that MDS entanglement-assisted quantum codes are more numerous
An EAQEC code is a quantum error-correcting code assisted by shared maximally entangled states; an MDS entanglement-assisted quantum code satisfies …
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Essential attainability of the MDS–EAQ line for quantum error-correcting codes
Essential attainability conjecture. For sufficiently large alphabet size , all integer points below the line connecting MDS and EAQ correspond to possible code values.
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The impractically-large-ebit conjecture for entanglement-assisted quantum LDPC codes
Entanglement-assisted stabilizer codes use maximally entangled states, or ebits, to import classical binary or quaternary linear codes into the quantum setting. The entanglement-as…
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Rank-minimality conjecture for affine-geometry EAQECC constructions
Let be the affine-geometry Steiner system with parameters . The entanglement-assisted quantum LDPC codes in the source are constructed from incidence…