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Equation 24 · Part 3 · The Entry a Relabeling Cannot Write

Symbol D_Lambda

ΔEΛ(ρ):=Tr[ρDΛ],\Delta E_\Lambda(\rho) := \mathrm{Tr}[\rho D_\Lambda],
DΛD_\Lambda

What this part means

DLD_Lambda is an input to the expression that computes the quantity on the left.

Its job in the formula

DLD_Lambda is an input to the expression that computes the quantity on the left.

The passage around this formula

DΛD_\Lambda is Hermitian on Hf\mathcal H_f — a positive, unital map applied to a self-adjoint input stays self-adjoint — and it carries units of energy, since both terms do. Its state-dependent reading, ΔEΛ(ρ):=Tr[ρDΛ]\Delta E_\Lambda(\rho) := \mathrm{Tr}[\rho D_\Lambda]. is a real number in units of energy for every fine state ρ\rho : how much the…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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