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	<title>양자 카오스 - 편집 역사</title>
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	<updated>2026-05-08T03:39:14Z</updated>
	<subtitle>이 문서의 편집 역사</subtitle>
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	<entry>
		<id>https://wiki.mathnt.net/index.php?title=%EC%96%91%EC%9E%90_%EC%B9%B4%EC%98%A4%EC%8A%A4&amp;diff=53052&amp;oldid=prev</id>
		<title>Pythagoras0: /* 메타데이터 */ 새 문단</title>
		<link rel="alternate" type="text/html" href="https://wiki.mathnt.net/index.php?title=%EC%96%91%EC%9E%90_%EC%B9%B4%EC%98%A4%EC%8A%A4&amp;diff=53052&amp;oldid=prev"/>
		<updated>2022-07-11T03:10:11Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;메타데이터: &lt;/span&gt; 새 문단&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;ko&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← 이전 판&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;2022년 7월 11일 (월) 03:10 판&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l32&quot; &gt;32번째 줄:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;32번째 줄:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===소스===&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===소스===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  &amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  &amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== 메타데이터 ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===위키데이터===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* ID :  [https://www.wikidata.org/wiki/Q1502341 Q1502341]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===Spacy 패턴 목록===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [{&amp;#039;LOWER&amp;#039;: &amp;#039;quantum&amp;#039;}, {&amp;#039;LEMMA&amp;#039;: &amp;#039;chaos&amp;#039;}]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Pythagoras0</name></author>
	</entry>
	<entry>
		<id>https://wiki.mathnt.net/index.php?title=%EC%96%91%EC%9E%90_%EC%B9%B4%EC%98%A4%EC%8A%A4&amp;diff=53051&amp;oldid=prev</id>
		<title>Pythagoras0: /* 노트 */ 새 문단</title>
		<link rel="alternate" type="text/html" href="https://wiki.mathnt.net/index.php?title=%EC%96%91%EC%9E%90_%EC%B9%B4%EC%98%A4%EC%8A%A4&amp;diff=53051&amp;oldid=prev"/>
		<updated>2022-07-11T03:10:09Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;노트: &lt;/span&gt; 새 문단&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;새 문서&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== 노트 ==&lt;br /&gt;
&lt;br /&gt;
===말뭉치===&lt;br /&gt;
# On the other hand, quantum chaos describes chaotic classical dynamical systems in terms of quantum theory.&amp;lt;ref name=&amp;quot;ref_ee6b3fa5&amp;quot;&amp;gt;[https://www.sciencedaily.com/releases/2022/05/220526135327.htm Finding coherence in quantum chaos]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Quantum chaos is responsible for the scrambling of information occurring in complex systems such as blackholes.&amp;lt;ref name=&amp;quot;ref_ee6b3fa5&amp;quot; /&amp;gt;&lt;br /&gt;
# Thus, one could leverage balanced energy gain and loss as an experimental tool not only to probe quantum chaos but to study many-body quantum systems in general.&amp;lt;ref name=&amp;quot;ref_ee6b3fa5&amp;quot; /&amp;gt;&lt;br /&gt;
# &amp;quot;Decoherence limits quantum computing, so it follows that because increasing quantum chaos reduces decoherence, you can keep computing longer,&amp;quot; Saxena said.&amp;lt;ref name=&amp;quot;ref_ee6b3fa5&amp;quot; /&amp;gt;&lt;br /&gt;
# Quantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum theory.&amp;lt;ref name=&amp;quot;ref_360abae3&amp;quot;&amp;gt;[https://en.wikipedia.org/wiki/Quantum_chaos Quantum chaos]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Quantum chaos typically deals with systems whose properties need to be calculated using either numerical techniques or approximation schemes (see e.g. Dyson series).&amp;lt;ref name=&amp;quot;ref_360abae3&amp;quot; /&amp;gt;&lt;br /&gt;
# Nevertheless, learning how to solve such quantum problems is an important part of answering the question of quantum chaos.&amp;lt;ref name=&amp;quot;ref_360abae3&amp;quot; /&amp;gt;&lt;br /&gt;
# Statistical measures of quantum chaos were born out of a desire to quantify spectral features of complex systems.&amp;lt;ref name=&amp;quot;ref_360abae3&amp;quot; /&amp;gt;&lt;br /&gt;
# I must emphasize, however, that the term &amp;quot;quantum chaos&amp;quot; serves more to describe a conundrum than to define a well-posed problem.&amp;lt;ref name=&amp;quot;ref_46a8b0ef&amp;quot;&amp;gt;[https://www.scientificamerican.com/article/quantum-chaos-subatomic-worlds/ Quantum Chaos]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Considering the following interpretation of the bigger picture may be helpful in coming to grips with quantum chaos.&amp;lt;ref name=&amp;quot;ref_46a8b0ef&amp;quot; /&amp;gt;&lt;br /&gt;
# Quantum chaos is concerned with establishing the relation between boxes P (chaotic systems) and Q (quantum systems).&amp;lt;ref name=&amp;quot;ref_46a8b0ef&amp;quot; /&amp;gt;&lt;br /&gt;
# &amp;quot;At present this seems to be the best textbook on quantum chaos.&amp;lt;ref name=&amp;quot;ref_085cd41f&amp;quot;&amp;gt;[https://www.cambridge.org/core/books/quantum-chaos/129F113966F35AECCE0C6951870D6FF3 Quantum Chaos]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University.&amp;lt;ref name=&amp;quot;ref_4be8476c&amp;quot;&amp;gt;[https://link.springer.com/book/10.1007/978-3-319-06343-0 Nonlinear Dynamics and Quantum Chaos]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Quantum chaos began as an attempt to nd chaos, in the sense of extreme sensitivity to in quantum me- changes in initial conditions, chanical systems.&amp;lt;ref name=&amp;quot;ref_0e28e4c4&amp;quot;&amp;gt;[http://www.mtm.ufsc.br/~cmdoria/Notices/what-is-column/38-QuantumChaos.pdf ?w h a t]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# These are some of the questions that quantum chaos tries to answer.&amp;lt;ref name=&amp;quot;ref_0e28e4c4&amp;quot; /&amp;gt;&lt;br /&gt;
# This book, however, is one of the first to deal with quantum chaos, the natural progression from such classical systems.&amp;lt;ref name=&amp;quot;ref_364da9e6&amp;quot;&amp;gt;[https://www.barnesandnoble.com/w/quantum-chaos-katsuhiro-nakamura/1100943762 Quantum Chaos: A New Paradigm of Nonlinear Dynamics by Katsuhiro Nakamura]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# In this book the author deals with three major issues in quantum chaos.&amp;lt;ref name=&amp;quot;ref_364da9e6&amp;quot; /&amp;gt;&lt;br /&gt;
# The primary issues in quantum chaos in a three-body system are what are the signs of chaos, and how large the quantum system has to be to display chaotic behavior.&amp;lt;ref name=&amp;quot;ref_75ea0e87&amp;quot;&amp;gt;[https://www.accessscience.com/content/quantum-chaos-in-a-three-body-system/YB061330 Quantum chaos in a three-body system]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# In quantum chaos, trajectories do not diverge exponentially because they are constrained by the fact that the entire evolution must be unitary.&amp;lt;ref name=&amp;quot;ref_b8fb373a&amp;quot;&amp;gt;[https://mathworld.wolfram.com/QuantumChaos.html Quantum Chaos -- from Wolfram MathWorld]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Several signatures have been studied in the literature to identify quantum chaos but all of them fall short in some way or the other.&amp;lt;ref name=&amp;quot;ref_dae5120d&amp;quot;&amp;gt;[https://pirsa.org/C22018 Classical and Quantum Chaos 2021/2022]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Then, we will discuss a few well-studied signatures of quantum chaos and the subtleties associated with them.&amp;lt;ref name=&amp;quot;ref_dae5120d&amp;quot; /&amp;gt;&lt;br /&gt;
# There are some major differences between classical and quantum mechanics, and these differences are important for our discussion of quantum chaos.&amp;lt;ref name=&amp;quot;ref_a6438099&amp;quot;&amp;gt;[https://sites.berry.edu/ttimberlake/research/quantum-chaos-introduction/ Quantum Chaos Introduction]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# “Our work challenges the expectation that decoherence generally suppresses quantum chaos,” Saxena said.&amp;lt;ref name=&amp;quot;ref_da7df057&amp;quot;&amp;gt;[https://www.insidequantumtechnology.com/news-archive/finding-coherence-in-quantum-chaos/ Finding coherence in quantum chaos]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Decoherence limits quantum computing, so it follows that because increasing quantum chaos reduces decoherence, you can keep computing longer,” Saxena said.&amp;lt;ref name=&amp;quot;ref_da7df057&amp;quot; /&amp;gt;&lt;br /&gt;
# The subject of quantum chaos is an active field of research in which many basic issues still require clarification.&amp;lt;ref name=&amp;quot;ref_c746949b&amp;quot;&amp;gt;[https://www.oxfordreference.com/view/10.1093/oi/authority.20110803100357709 quantum chaos]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# A novel quantity to measure quantum chaos in spectra is proposed and a conjecture about its universal statistical behaviour is put forward.&amp;lt;ref name=&amp;quot;ref_e0f8421f&amp;quot;&amp;gt;[https://cds.cern.ch/record/260148/files/P00021848.pdf Desy 94-024]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# There thus exists no quantum chaos (QC`} that manifests itself in the long-time behaviour of the dynamics.&amp;lt;ref name=&amp;quot;ref_e0f8421f&amp;quot; /&amp;gt;&lt;br /&gt;
# This experiment has been carried out by the team of J. C. Garreau and P. Szriftgiser (quantum chaos group of the PhLAM lab).&amp;lt;ref name=&amp;quot;ref_8068e7aa&amp;quot;&amp;gt;[http://www.lkb.upmc.fr/complexquantumsystems/quantum-chaos/ Complex Quantum Systems]&amp;lt;/ref&amp;gt;&lt;br /&gt;
===소스===&lt;br /&gt;
 &amp;lt;references /&amp;gt;&lt;/div&gt;</summary>
		<author><name>Pythagoras0</name></author>
	</entry>
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