update tokens
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@@ -82,7 +82,7 @@ export default async function RootLayout({ children }) {
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sidebar={{ defaultMenuCollapseLevel: 1 }}
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sidebar={{ defaultMenuCollapseLevel: 1 }}
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pageMap={pageMap}
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pageMap={pageMap}
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// TODO: fix algolia search
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// TODO: fix algolia search
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// search={<AlgoliaSearch />}
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search={<AlgoliaSearch />}
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>
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>
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{children}
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{children}
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{/* SpeedInsights in vercel */}
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{/* SpeedInsights in vercel */}
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@@ -8,9 +8,9 @@ import '@docsearch/css';
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function AlgoliaSearch() {
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function AlgoliaSearch() {
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return (
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return (
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<DocSearch
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<DocSearch
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appId={process.env.NEXT_SEARCH_ALGOLIA_APP_ID || ''}
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appId={process.env.NEXT_SEARCH_ALGOLIA_APP_ID || 'NKGLZZZUBC'}
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indexName={process.env.NEXT_SEARCH_ALGOLIA_INDEX_NAME || ''}
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indexName={process.env.NEXT_SEARCH_ALGOLIA_INDEX_NAME || 'notenextra_trance_0'}
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apiKey={process.env.NEXT_SEARCH_ALGOLIA_API_KEY || ''}
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apiKey={process.env.NEXT_SEARCH_ALGOLIA_API_KEY || '727b389a61e862e590dfab9ce9df31a2'}
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/>
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/>
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);
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);
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}
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}
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@@ -76,7 +76,7 @@ This is a contradiction, so $|\psi^+\rangle$ is entangled.
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#### Density operator
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#### Density operator
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A density operator is a Hermitian, positive semi-definite operator with trace 1.
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A density operator is a [Hermitian](https://notenextra.trance-0.com/Math401/Math401_T5#definition-of-hermitian-operator), positive semi-definite operator with trace 1.
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The density operator of a pure state $|\psi\rangle$ is $\rho=|\psi\rangle\langle\psi|$.
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The density operator of a pure state $|\psi\rangle$ is $\rho=|\psi\rangle\langle\psi|$.
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