>From 827ccdeef99cec23f937b92720992f38b492e502 Mon Sep 17 00:00:00 2001
From: Akira Yokosawa <akiyks@xxxxxxxxx>
Date: Sat, 30 Sep 2017 18:08:03 +0900
Subject: [PATCH 04/10] future/QC: Use non-breakable hyphen for axis names
The short cut "\=/" is provided by the "extdash" package,
as is presented in style guide.
Signed-off-by: Akira Yokosawa <akiyks@xxxxxxxxx>
---
future/QC.tex | 20 ++++++++++----------
1 file changed, 10 insertions(+), 10 deletions(-)
diff --git a/future/QC.tex b/future/QC.tex
index 437a4d4..daf0086 100644
--- a/future/QC.tex
+++ b/future/QC.tex
@@ -308,7 +308,7 @@ A qubit is said to:
Figure~\ref{fig:future:Qubit as Bloch Sphere}.
\item Collapse to a zero ($\ket{0}$) or a one ($\ket{1}$) if measured,
with probability being a function of the relative distance from
- $\ket{0}$ and $\ket{1}$, but projected onto the Z-axis.
+ $\ket{0}$ and $\ket{1}$, but projected onto the Z\=/axis.
Thus, a qubit on the equator of the Bloch sphere has a 50\,\%
probability of being measured as a one or as a zero, while
a qubit on the 45\textdegree-north latitude would have
@@ -332,37 +332,37 @@ are as follows:
Rotate 180\degree{} ($\pi$ radians) about the Bloch-sphere
X-Z axis, that is, about the 45\degree{} line on the
X-Z plane. This rotates $\ket{0}$ to the point at which the
- positive X-axis intersects the Bloch sphere, and rotates $\ket{1}$
- to the point at which the negative X-axis intersects the Bloch
+ positive X\=/axis intersects the Bloch sphere, and rotates $\ket{1}$
+ to the point at which the negative X\=/axis intersects the Bloch
sphere.
Either way, we get a qubit that is 50\,\% one and 50\,\% zero.
\item[\qop{S}\,:]
Rotate 90\degree{} ($\frac{\pi}{2}$ radians) about the
- Bloch-sphere Z-axis, which has no effect on qubits in the
+ Bloch-sphere Z\=/axis, which has no effect on qubits in the
$\ket{0}$ or $\ket{1}$ states.
\item[\qop{S}$^{\bm{\dagger}}$:]
Rotate $-90\degree$ ($-\frac{\pi}{2}$ radians) about the
- Bloch-sphere Z-axis, which has no effect on qubits in the
+ Bloch-sphere Z\=/axis, which has no effect on qubits in the
$\ket{0}$ or $\ket{1}$ states.
This operator is the inverse of \qop{S}.
\item[\qop{T}\,:]
Rotate 45\degree{} ($\frac{\pi}{4}$ radians) about the
- Bloch-sphere Z-axis, which has no effect on qubits in the
+ Bloch-sphere Z\=/axis, which has no effect on qubits in the
$\ket{0}$ or $\ket{1}$ states.
\item[\qop{T}$^{\bm{\dagger}}$:]
Rotate $-45\degree$ ($-\frac{\pi}{4}$ radians) about the
- Bloch-sphere Z-axis, which has no effect on qubits in the
+ Bloch-sphere Z\=/axis, which has no effect on qubits in the
$\ket{0}$ or $\ket{1}$ states.
This operator is the inverse of \qop{T}.
\item[\qop{X}\,:]
Rotate 180\degree{} ($\pi$ radians) about the Bloch-sphere
- X-axis, which takes $\ket{0}$ to $\ket{1}$ and vice versa.
+ X\=/axis, which takes $\ket{0}$ to $\ket{1}$ and vice versa.
\item[\qop{Y}\,:]
Rotate 180\degree{} ($\pi$ radians) about the Bloch-sphere
- Y-axis, which also takes $\ket{0}$ to $\ket{1}$ and vice versa.
+ Y\=/axis, which also takes $\ket{0}$ to $\ket{1}$ and vice versa.
\item[\qop{Z}\,:]
Rotate 180\degree{} ($\pi$ radians) about the Bloch-sphere
- Z-axis, which has no effect on qubits in the $\ket{0}$ or
+ Z\=/axis, which has no effect on qubits in the $\ket{0}$ or
$\ket{1}$ states.
\end{description}
--
2.7.4
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