6 problems
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The finite-support tiger-code dephasing-distance conjecture
Let and define a finite-support tiger code, and let the code's coherent-state logical constellations be the corresponding finite sets in phase space. Let the Euclidean dist…
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Code-distance lower-bound conjecture for dephasing suppression
Code-distance lower-bound conjecture. The code distance serves as a lower bound on the dephasing suppression, although some codes may exhibit greater suppression. The exact suppres…
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Universal dephasing-suppression conjecture for logical qudit tiger codes
Consider logical qudit tiger-code words and , with dephasing matrix elements between distinct codewords and with the large-…
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Euclidean-distance lower-bound conjecture for dephasing suppression
For qudit tiger codes, let be a loss vector and let the codewords be -type codewords. The dephasing matrix elements are the off-diagonal quantities…
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Exponential suppression conjecture for dephasing matrix elements
Let denote the energy density of the code, and let dephasing errors be diagonal operators of the form .…
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Dephasing suppression conjecture for projected coherent states
Projected coherent states with infinite Fock-state support are considered in the setting of dephasing noise, where coherent-state overlaps are suppressed by the Euclidean distance…