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embed for single-qubit and two-qubit symbolic Clifford Operators #415

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embed for single-qubit and two-qubit symbolic Clifford Operators #415

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36 changes: 36 additions & 0 deletions src/symbolic_cliffords.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -416,6 +416,42 @@ LinearAlgebra.inv(op::sInvSQRTXX) = sSQRTXX(op.q1, op.q2)
LinearAlgebra.inv(op::sSQRTYY) = sInvSQRTYY(op.q1, op.q2)
LinearAlgebra.inv(op::sInvSQRTYY) = sSQRTYY(op.q1, op.q2)

"""
Embed a single-qubit Clifford operator in a larger Clifford operator.

```jldoctest
julia> embed(5, 4, sHadamard)
X₁ ⟼ + X____
X₂ ⟼ + _X___
X₃ ⟼ + __X__
X₄ ⟼ + ___Z_
X₅ ⟼ + ____X
Z₁ ⟼ + Z____
Z₂ ⟼ + _Z___
Z₃ ⟼ + __Z__
Z₄ ⟼ + ___X_
Z₅ ⟼ + ____Z
```

Embed a two-qubit Clifford operator in a larger Clifford operator.

```jldoctest
julia> embed(5, (2,3), sCNOT)
X₁ ⟼ + X____
X₂ ⟼ + _XX__
X₃ ⟼ + __X__
X₄ ⟼ + ___X_
X₅ ⟼ + ____X
Z₁ ⟼ + Z____
Z₂ ⟼ + _Z___
Z₃ ⟼ + _ZZ__
Z₄ ⟼ + ___Z_
Z₅ ⟼ + ____Z
```
"""
embed(n::Int, i::Int, t::Type{<:AbstractSingleQubitOperator}) = CliffordOperator(t(i), n)
embed(n::Int, indices::Tuple{Int,Int}, t::Type{<:AbstractTwoQubitOperator}) = CliffordOperator(t(indices...), n)

##############################
# Functions that perform direct application of common operators without needing an operator instance
##############################
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