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dagger for inner product

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Aly 2025-09-12 09:49:35 -06:00
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inner-product.md
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@ -10,4 +10,4 @@
3. $`\braket{cx|y} = \overline{c}\braket{x|y}`$ and $`\braket{x|cy} = \braket{x|y}c`$
4. $`\braket{x|y} = \overline{\braket{y|x}}`$
- the inner product $`\braket{x|y}`$ is antilinear in $`x`$ and linear in $`y`$
- if starting with two [[ket]]s, take the conjugate transpose of the former: $`\bra{x} = \overline{\ket{x}}^\intercal = \overline{\ket{x}^\intercal}`$
- if starting with two [[ket]]s, take the conjugate transpose of the former: $`\bra{x} = \ket{x}^\dagger = \overline{\ket{x}}^\intercal = \overline{\ket{x}^\intercal}`$