415 B
415 B
Outer Product
- operates on two vectors and produces a matrix
- notation is
`\ket{x}\bra{y}`
- matrix-multiplication, associates with inner-product
- a sum
`\ket{x}\bra{0} + \ket{y}\bra{1}`
where`\ket{x}`
and`\ket{y}`
are orthonormal produces a unitary-operator sending`\ket{0}`
to`\ket{x}`
and`\ket{1}`
to`\ket{y}`