unofficialjuliamirror / diracnotation.jl-e655511c-e992-5001-b8e2-2048e6aa15e9

Last mirrored from https://github.com/goropikari/DiracNotation.jl.git on 2019-11-18T20:28:17.677-05:00 by @UnofficialJuliaMirrorBot via Travis job 481.9 , triggered by Travis cron job on branch "master"

DiracNotation

By using this package, matrix representation is changed into Dirac notation. This package supports QuantumOptics.jl

Installation

using Pkg
Pkg.add("DiracNotation")

Usage

Simple example

julia> using DiracNotation, LinearAlgebra, Random; Random.seed!(0);

julia> ket = normalize(rand(4)); bra = ket';

julia> dirac(ket) # if the dimension of state is a power of 2 ( 2^n ), it is interpreted as n-qubit system.
|ψ⟩ = 0.65825|00⟩+0.727547|01⟩+0.131519|10⟩+0.141719|11⟩

julia> dirac(bra)
⟨ψ| = 0.65825⟨00|+0.727547⟨01|+0.131519⟨10|+0.141719⟨11|

julia> DiracNotation.set_properties(precision=3)

julia> op = rand(2,2);

julia> leftdims = [2];

julia> rightdims = [2];

julia> dirac(op, leftdims, rightdims)
ρ = 0.279|0⟩⟨0|+0.0423|0⟩⟨1|+0.203|1⟩⟨0|+0.0683|1⟩⟨1|

julia> DiracNotation.set_properties(numhead=10, displayall=false) # display numhead terms

julia> op = rand(6,4);

# if the system is not a qubits system, you have to specify the dimensions explicitly.
julia> dirac(op, [2,3], [2,2])
ρ = 0.362|00⟩⟨00|+0.167|00⟩⟨01|+0.469|00⟩⟨10|+0.0668|00⟩⟨11|+0.973|01⟩⟨00|+0.655|01⟩⟨01|+0.0624|01⟩⟨10|+0.157|01⟩⟨11|+0.586|02⟩⟨00|+0.576|02⟩⟨01| +...

Display a state with arbitrary state name.

julia> dirac(ket, "ϕ")
|ϕ⟩ = 0.658|00⟩+0.728|01⟩+0.132|10⟩+0.142|11⟩

julia> dirac(op, [2,3], [2,2], "A")
A = 0.362|00⟩⟨00|+0.167|00⟩⟨01|+0.469|00⟩⟨10|+0.0668|00⟩⟨11|+0.973|01⟩⟨00|+0.655|01⟩⟨01|+0.0624|01⟩⟨10|+0.157|01⟩⟨11|+0.586|02⟩⟨00|+0.576|02⟩⟨01| +...

Restore to original style

julia> DiracNotation.reset_properties()

julia> dirac(ket, "ϕ")
|ϕ⟩ = 0.65825|00⟩+0.727547|01⟩+0.131519|10⟩+0.141719|11⟩

julia> dirac(op, [2,3], [2,2], "A")
A = 0.361828|00⟩⟨00|+0.167036|00⟩⟨01|+0.469304|00⟩⟨10|+0.0668464|00⟩⟨11|+0.973216|01⟩⟨00|+0.655448|01⟩⟨01|+0.0623676|01⟩⟨10|+0.156637|01⟩⟨11|+0.585812|02⟩⟨00|+0.575887|02⟩⟨01|+0.353129|02⟩⟨10|+0.605297|02⟩⟨11|+0.539289|10⟩⟨00|+0.868279|10⟩⟨01|+0.767602|10⟩⟨10|+0.135745|10⟩⟨11|+0.260036|11⟩⟨00|+0.9678|11⟩⟨01|+0.043141|11⟩⟨10|+0.838118|11⟩⟨11|+0.910047|12⟩⟨00|+0.76769|12⟩⟨01|+0.267985|12⟩⟨10|+0.914712|12⟩⟨11|

Example on IJulia

On IJulia, Dirac notation is rendered as MathJax.

• Example