Manuscript Psy03-B@1 · Psy03-B-v1.tex · section · 8ca3caf9

Common future challenge and task performance

An exact one-edge structural-memory pilot › Common future challenge and task performance · lines 2175–2196

Use Pauli matrices $X, Y, Z$ and generators

H_{0} = \frac{ℏΩ}{2} X, H_{1} = 0, L_{s} = - \frac{i}{ℏ} [H_{s}, \cdot] + \frac{γ}{2} D_{Z},

where $Ω > 0$ , $γ \geq 0$ . Prepare

ρ_{+ y} = \frac{I + Y}{2}

by a carrier reset. Its node-basis dephased reference is $I /2$ . After time $T$ , use node effect $P_{0} = (I + Z) /2$ .

For $0 \leq γ < 2Ω$ , write

ω_{d} = Ω^{2} - γ^{2} /4 .

Displayed formulas in this passage

unlabeled · line 2178
$H_{0} = \frac{ℏΩ}{2} X, H_{1} = 0, L_{s} = - \frac{i}{ℏ} [H_{s}, \cdot] + \frac{γ}{2} D_{Z},$
unlabeled · line 2185
$ρ_{+ y} = \frac{I + Y}{2}$
unlabeled · line 2193
$ω_{d} = Ω^{2} - γ^{2} /4 .$