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apkille committed Jul 6, 2024
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Below, we state all of the supported linear algebra operations on quantum objects:

- commutator of two operators: [`commutator`](@ref),
- anticommutator of two operators: [`anticommutator`](@ref),
- complex conjugate: [`conj`](@ref),
- transpose: [`transpose`](@ref),
- projection of a ket: [`projector`](@ref),
- adjoint or dagger: [`dagger`](@ref),
- inverse of an operator: [`inv`](@ref),
- exponential of an operator: [`exp`](@ref),
- vectorization of an operator: [`vec`](@ref).
- commutator of two operators: `commutator`,
- anticommutator of two operators: `anticommutator`,
- complex conjugate: `conj`,
- transpose: `transpose`,
- projection of a ket: `projector`,
- adjoint or dagger: `dagger`,
- inverse of an operator: `inv`,
- exponential of an operator: `exp`,
- vectorization of an operator: `vec`.

## Simplifying Expressions

For predefined objects such as the Pauli operators [`X`](@ref), [`Y`](@ref), and [`Z`](@ref), manual simplification can be performed with the [`qsimplify`](@ref) function. Take the following example:
For predefined objects such as the Pauli operators `X`, `Y`, and `Z`, manual simplification can be performed with the [`qsimplify`](@ref) function. Take the following example:

```jldoctest
julia> qsimplify(X*Z)
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