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Latex fix
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haggaila committed Oct 8, 2024
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4 changes: 2 additions & 2 deletions docs/background.md
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Expand Up @@ -23,8 +23,8 @@ An MPS is a particular way to encode
a many-body wave-function using a set of matrices. Consider a system made of
$N$ qubits, in a pure state
$\left|\psi\right\rangle=\sum_{s_1,s_2,\cdots,s_N}\psi\left(s_1,s_2,\cdots,s_N\right)\left|s_1\right\rangle\left|s_2\right\rangle\cdots\left|s_N\right\rangle$.
In this expression the sum runs over the $2^N$ basis states ($s_i\in\{0,1\}$) and the wave-function is encoded
into the function $\psi:\{s_i\}\to\psi\left(s_1,s_2,\cdots,s_N\right)$. An MPS is a state where the wave function is written
In this expression the sum runs over the $2^N$ basis states ($s_i\in\\{0,1\\}$) and the wave-function is encoded
into the function $\psi:\\{s_i\\}\to\psi\left(s_1,s_2,\cdots,s_N\right)$. An MPS is a state where the wave function is written
$\psi\left(s_1,s_2,\cdots,s_N\right)={\rm Tr}\left[A^{(s_1)}_1A^{(s_2)}_2\cdots A^{(s_N)}_N\right]$
where, for each qubit $i$ we have introduced two matrices
$A^{(0)}_i$ and $A^{(1)}_i$ (for a local Hilbert space of dimension
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