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outer products

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Aly 2025-09-15 09:48:28 -06:00
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inner-product.md
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@ -4,6 +4,7 @@
- notation $`\braket{x|y}`$
- $`\bra{x}`$ is a [[bra]]
- $`\ket{y}`$ is a [[ket]]
- [[matrix-multiplication]], associates with [[outer-product]]
- follows laws
1. $`\braket{0|y} = 0`$ and $`\braket{x|0} = 0`$
2. $`\braket{x + y|z} = \braket{x|z} + \braket{y|z}`$ and $`\braket{x|y + z} = \braket{x|y} + \braket{x|z}`$