PauliOps

submodule

Example

julia> using QuantumLegos

julia> p = PauliOps.single_pauliop('I')
I::SinglePauliOp = 0

julia> typeof(p)
Enum QuantumLegos.PauliOps.SinglePauliOp:
I = 0
X = 1
Y = 2
Z = 3

julia> pauliop("IXYZ")
4-element PauliOp:
 I::SinglePauliOp = 0
 X::SinglePauliOp = 1
 Y::SinglePauliOp = 2
 Z::SinglePauliOp = 3

julia> typeof(ans)
SVector{4, SinglePauliOp} (alias for StaticArraysCore.SArray{Tuple{4}, QuantumLegos.PauliOps.SinglePauliOp, 1, 4})

julia> PauliOps.I * PauliOps.X
X::SinglePauliOp = 1

julia> PauliOps.X * PauliOps.Z
Y::SinglePauliOp = 2

julia> pauliop("IIX") .* pauliop("XIY")
3-element PauliOp:
 X::SinglePauliOp = 1
 I::SinglePauliOp = 0
 Z::SinglePauliOp = 3

API

QuantumLegos.PauliOps — Module

Pauli operator

source

QuantumLegos.PauliOps.GeneratedPauliGroup — Type

struct GeneratedPauliGroup

Iterator for group generated from gens.

GeneratedPauliGroup(gens::AbstractVector{T}) where {T <: PauliOp}

Examples

julia> gens = pauliop.(["IIXX", "IZZI"])
2-element Vector{StaticArraysCore.SVector{4, QuantumLegos.PauliOps.SinglePauliOp}}:
 pauliop("IIXX")
 pauliop("IZZI")

julia> g = PauliOps.GeneratedPauliGroup(gens)
GeneratedPauliGroup{4}(StaticArraysCore.SVector{4, QuantumLegos.PauliOps.SinglePauliOp}[pauliop("IIXX"), pauliop("IZZI")], IterTools.Subsets{Vector{StaticArraysCore.SVector{4, QuantumLegos.PauliOps.SinglePauliOp}}}(StaticArraysCore.SVector{4, QuantumLegos.PauliOps.SinglePauliOp}[pauliop("IIXX"), pauliop("IZZI")]))

julia> collect(g)
4-element Vector{StaticArraysCore.SVector{4, QuantumLegos.PauliOps.SinglePauliOp}}:
 pauliop("IIII")
 pauliop("IIXX")
 pauliop("IZZI")
 pauliop("IZYX")

source

QuantumLegos.PauliOps.PauliOp — Type

PauliOp{N}

Pauli operator on multiple qubits.

source

QuantumLegos.PauliOps.SinglePauliOp — Type

@enum SinglePauliOp begin
    I
    X
    Y
    Z
end

Pauli Operator on a single qubit.

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QuantumLegos.PauliOps.pauliop — Method

pauliop(str::AbstractString)::PauliOp

Convert str to PauliOp.

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QuantumLegos.PauliOps.single_pauliop — Method

single_pauliop(char::Char)::SinglePauliOp

Convert char to SinglePauliOp.

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QuantumLegos.PauliOps.weight — Function

weight(p::PauliOp, [init = 1])

Weight of the operator p, i.e. non $I$ operator.

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QuantumLegos.PauliOps.xweight — Function

xweight(p::PauliOp, [init = 1])

Number of $X, Y$ in p.

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QuantumLegos.PauliOps.zweight — Function

zweight(p::PauliOp, [init = 1])

Number of $Z, Y$ in p. a

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