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What the covariance also does, though, is forbid the radiation from leaking coherence between different eigenspaces of J^ to an observer who has not independently fixed a frame. Kitaev, Mayers, and Preskill made the resource cost explicit: a superselection rule restricting accessible operations to those commuting with a group can be simulated away entirely if the two parties already share a suitable reference system, and cannot be worked around at all if they do not [ 11 ] . Absent such a shared frame, whatever the radiation reveals about g has to be extracted from the asymmetry of ρrad(g) relative to the group — a quantity that scrambling, left to its own devices, does…
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Equation 58 · Evolutionary Physics
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What the covariance also does, though, is forbid the radiation from leaking coherence between different eigenspaces of J^ to an observer who has not independently fixed a frame. Kitaev, Mayers, and Preskill made the resource cost explicit: a superselection rule restricting accessible operations to those commuting with a group can be simulated away entirely if the two parties already share a suitable reference system, and cannot be worked around at all if they do not [ 11 ] . Absent such a shared frame, whatever the radiation reveals about g has to be extracted from the asymmetry of ρrad(g) relative to the group — a quantity that scrambling, left to its own devices, does…
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