← All parts of this equation

Equation 104 · Part 3 · The Entry a Relabeling Cannot Write

Symbol g

t∗=π/(2g)=1/(4×10 MHz)=25.0 nst^\ast = \pi/(2g) = 1/(4\times10\ \mathrm{MHz}) = 25.0\ \mathrm{ns}
gg

What this part means

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

Its job in the formula

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

The passage around this formula

Putting numbers to the swing keeps it honest rather than decorative. Take ω\omega/2π\pi = 5\ GHz\mathrm{GHz} and g/2π\pi = 10\ MHz\mathrm{MHz} , both squarely inside the range of qubit and resonator frequencies and coupling strengths reported across circuit quantum electrodynamics architectures, which span a few gigahertz in frequency and from a fraction of a megahertz up to several hundred megahertz in coupling depending on the regime [ 12 ] . The swap time is t∗t^\ast = π\pi/(2g) = 1/(4×\times10\ MHz\mathrm{MHz}) = 25.0\ ns\mathrm{ns} , and the ledger’s swing at that instant is ℏ\hbarω\omega/2 ≈\approx 1.66×\times10^{-24}\ J\mathrm{J} ≈\approx 10.3\ μ\mueV\mathrm{eV} — an exact analytic evaluation under the stated…

Read this part in the article →

Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

Open the illustrated variables: a letter stands for a value guide →

See this notation across published equations →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.