A neutral balance pulse prepares an exact equal state without claiming real pulse dynamics. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A balance pulse prepares equal branches

The balance pulse from zero prepares two equal amplitudes. The direct probabilities are 1/2 and 1/2.

pzero=12,pone=12p_{\text{zero}}=\frac{1}{2},\quad p_{\text{one}}=\frac{1}{2}
Balance pulseThe output probabilities are checked.state1 zero0 onestate1/sqrt(2) zero1/sqrt(2) onez basis1/2zero1/2oneHpulsebalance pulse from zero

Branch rows make the balance visible

The output budget has one zero branch, one one branch, and one conserved total.

branchprole012kept112kepttotal1conserved\begin{array}{c|c|c}\text{branch}&p&\text{role}\\\lvert 0\rangle&\frac{1}{2}&\text{kept}\\\lvert 1\rangle&\frac{1}{2}&\text{kept}\\\text{total}&1&\text{conserved}\\\end{array}
Balanced branch scanThe two output bars add to one.state1 zero0 onestate1/sqrt(2) zero1/sqrt(2) onez basis1/2zero1/2oneHpulsebalance pulse from zero

The name stays neutral

The helper calls this a balance pulse, not a physical half-turn. That keeps real pulse dynamics outside the model.

neutral training pulse\text{neutral training pulse}
Neutral pulse nameThe diagram claims only the reviewed state map.state1 zero0 onestate1/sqrt(2) zero1/sqrt(2) onez basis1/2zero1/2oneHpulsebalance pulse from zero