Equation 18 · The Entry a Relabeling Cannot Write
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Symbol ρ
ρ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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What the article says around this equation
is positive because is completely positive and every with 0 is itself a valid state; it is unital, = , because preserves trace for every input. This duality is the same construction Stinespring used to show that any completely positive map admits a dilation to a larger, unitary description [ 9 ] , and it lets a coarse Hamiltonian be pulled back onto the fine space without the fine space’s own structure ever being disturbed.
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