>From 5c3cb7fa55bf495b500e5a42da0882f167231f77 Mon Sep 17 00:00:00 2001
From: Akira Yokosawa <akiyks@xxxxxxxxx>
Date: Sat, 17 Jun 2017 00:29:40 +0900
Subject: [PATCH 3/8] future/QC: Fix typo in unit symbol and usage of math mode
Signed-off-by: Akira Yokosawa <akiyks@xxxxxxxxx>
---
future/QC.tex | 12 ++++++------
1 file changed, 6 insertions(+), 6 deletions(-)
diff --git a/future/QC.tex b/future/QC.tex
index 36b68ad..8727212 100644
--- a/future/QC.tex
+++ b/future/QC.tex
@@ -238,7 +238,7 @@ As Scott Crowder of IBM put it,
For purposes of comparison, the oldest intact computer, the
University of Melbourne's 1949
CSIRAC~\cite{CSIRACMuseumVictoria,CSIRACUniversityMelbourne},
-ran at a core clock frequency of 1KHz, consumed 30kW of power,
+ran at a core clock frequency of 1kHz, consumed 30kW of power,
weighs three metric tons,
is constructed of 2,000 vacuum tubes, and has 768 words of RAM
implemented with acoustic mercury delay lines.
@@ -596,7 +596,7 @@ QC computation is thermodynamically reversible, generating
very little waste heat~\cite{Bennett:1973:LRC:1664562.1664568,RichardFeynman1986QuantumMechanicalComputers}.
This means that in theory, quantum computers can avoid the
Landauer limit~\cite{Landauer:1961:IHG:1661184.1661186}
-of $kT ln 2$, where $K$ is the Boltzmann constant and $T$ is the
+of $kT \ln 2$, where $k$ is the Boltzmann constant and $T$ is the
temperature in degrees Kelvin.
Given that the Boltzmann constant is $1.38 \times 10^{-23}$J/K,
and given the 0.015K operating temperatures that IBM's Quantum Experience
@@ -611,7 +611,7 @@ QC is governed by an even lower limit:
Here $\Delta E$ is the energy required to change the qubit in Joules,
$\Delta t$ is the time taken to change the qubit in seconds, and
-$\hbar$ is Planck's constant, which is $6.62 \times 10^{-34}$J $\cdot$ s.
+$\hbar$ is Planck's constant, which is $6.62 \times 10^{-34}$J$\cdot$s.
For the 50-nanosecond switching times of IBM's Quantum Experience
hardware, this limit is $5.52 \times 10^{-27}$J, more than an order
of magnitude less than the Landauer limit.
@@ -691,7 +691,7 @@ at low temperatures.\footnote{
\begin{tabular}{l|r|r|r}
& & & Power per watt \\
Situation
- & T (K)
+ & $T$ (K)
& $C_P$ & waste heat (W) \\
\hline
\hline
@@ -756,7 +756,7 @@ nothing of new materials, for but one example,
perovskite~\cite{ZhengChen2016PerovskiteQDMOFthinFilm}.
Other avenues include increased pressure, given that diamond anvil
cells~\cite{Weir1959DiamondAnvilCell} can now reach
-640~GPA~\cite{LeonidDubrovinsky2012640GPaDiamondAnvilCell},
+640~GPa~\cite{LeonidDubrovinsky2012640GPaDiamondAnvilCell},
which is almost double the estimated pressure at the center of the earth.
Such exploration is of course pure research, but if QC is at 1940s levels
of development, pure research should have a significant role to play.
@@ -999,7 +999,7 @@ But before this can happen, the list must be downloaded into
the QC system.
The competing classical system can use this time to construct
any desired index over the data, after which the classical
-system can carry out the search in $O(log N)$ time, which
+system can carry out the search in $O(\log N)$ time, which
is much faster than the $O(\sqrt N)$ time promised by
Grover's algorithm.
Of course, this would change if the data originates in the
--
2.7.4
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