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JuliaQuantumInformation

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List of quantum information and computation projects in Julia

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# Quantum-information and -computing related Julia projects

This README is a list of [Julia](https://julialang.org/) projects, packages, and organizations
for quantum information science and technology and related fields,
such as condensed matter physics. It includes links to related lists and other resources.

If you would like to add a project to this list, please feel free to
[make a pull request](https://github.com/jlapeyre/JuliaQuantumInformation).
If you don't have time to make a pull request, please open an issue.

### Notes

* The names of these packages typically end in `.jl`.
  In particular, the suffix is included to distinguish packages from
  similarly-named non-Julia packages.
* The date of the most recent development activity appears just after the name of the package.
* Blurbs taken from the sites should be in italics (asterisks in markdown)
* Packages that support quantum information packages (e.g. tensor packages) are included here.

## Organizations

### [BBN-Q](https://github.com/BBN-Q) ([BBN Technologies](https://www.raytheon.com/capabilities/products/quantum))

* [Cliffords.jl](https://github.com/BBN-Q/Cliffords.jl) (12 2020) - *Efficient calculation of Clifford circuits.*
* [QuantumTomography.jl](https://github.com/BBN-Q/QuantumTomography.jl) (12 2020) - *Quantum state- and process tomography.*
* [QGL.jl](https://github.com/BBN-Q/QGL.jl) (04 2018) - *A performance orientated QGL compiler.*
  This is a Julia reimplemenation of
  [QGL](https://github.com/BBN-Q/QGL) (05 2020) (Quantum Gate Language), a python library.
* [MESolve.jl](https://github.com/BBN-Q/MESolve.jl) (03 2021) - *Master Equation Solver.*
* [QuantumInfo.jl](https://github.com/BBN-Q/QuantumInfo.jl) (12 2020) - *Library for quantum information related calculations.*
* [QSimulator.jl](https://github.com/BBN-Q/QSimulator.jl) (11 2019) - *Unitary and Lindbladian evolution.*
* [RandomQuantum.jl](https://github.com/BBN-Q/RandomQuantum.jl) (12 2019) - *Package for generating
  random quantum states and processes according to a number of natural distributions.*
* [PAPA.jl](https://github.com/BBN-Q/PAPA.jl) (12 2019) - *PAirwise Perturbative Ansatz for Better Estimation And Runtime.*
* [SchattenNorms.jl](https://github.com/BBN-Q/SchattenNorms.jl) (12 2020) - *Schatten norms,
  including completely bounded norms, such as Kitaev's diamond norm (ubiquitous in, e.g., quantum information processing*
* [MathieuFunctions.jl](https://github.com/BBN-Q/MathieuFunctions.jl) (03 2020) - For computing anharmonic quantum oscillator energies.

#### Quantum computing hardware

* [Qlab.jl](https://github.com/BBN-Q/Qlab.jl) (12 2020) - *Generic lab tools.*
* [Instruments.jl](https://github.com/BBN-Q/Instruments.jl) (12 2020) - *Instrument Control.*

### [QuantumBFS](https://github.com/QuantumBFS)
  *A group of quantum developers around Bao Fu Si (Temple).*

The QuantumBFS org maintains a mostly integrated set of about 20 packages for quantum computaion.
They are centered around [Yao.jl](https://github.com/QuantumBFS/Yao.jl).

* [Yao.jl](https://github.com/QuantumBFS/Yao.jl) (06 2021) - *Extensible, Efficient Quantum Algorithm Design for Humans.*
  [yaoquantum.org](http://yaoquantum.org/).

### [Jutho](https://github.com/Jutho) Jutho Haegeman's tensor code

* [TensorOperations.jl](https://github.com/Jutho/TensorOperations.jl) (07 2021) - *tensor contractions and related operations.*
* [WignerSymbols.jl](https://github.com/Jutho/WignerSymbols.jl) (07 2021) - *computing Wigner symbols and related quantities.*
* [LinearMaps.jl](https://github.com/Jutho/LinearMaps.jl) (07 2021) - *defining and working with linear maps, also known as linear transformations or linear operators acting on vectors. The only requirement for a LinearMap is that it can act on a vector (by multiplication) efficiently.*
* [TensorKit.jl](https://github.com/Jutho/TensorKit.jl) (07 2021) - *large-scale tensor computations, with a hint of category theory*

### [JuliaQX](https://github.com/JuliaQX) (07 2021) Quantum Circuits using tensor networks

### [ITensor](https://github.com/ITensor)

The following list is not exhaustive
* [ITensors.jl](https://github.com/ITensor/ITensors.jl) (06 2021) - *efficient tensor computations and tensor network calculations*
* [NDTensors.jl](https://github.com/ITensor/NDTensors.jl) (05 2021) - *n-dimensional sparse tensors.*
* [PEPS.jl](https://github.com/ITensor/PEPS.jl) (06 2020) - Projected entangled pair states.

### [IITiS PAN](https://github.com/iitis) (Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences)

* [QuantumInformation.jl](https://github.com/iitis/QuantumInformation.jl) (06 2021) - *numerical computation in quantum information theory.*
* [QSWalk.jl](https://github.com/iitis/QSWalk.jl) (04 2020) - *simulating the evolution of open quantum systems on graphs.*

### [Matteo AC Rossi](https://github.com/matteoacrossi)

* [QContinuousMeasurement.jl](https://github.com/matteoacrossi/QContinuousMeasurement.jl) (06 2021) 
* [ContinuousMeasurementFI](https://github.com/matteoacrossi/ContinuousMeasurementFI) (05 2019) Fisher information for magnetometry and frequency
estimation with continuously monitored spin systems, with independent Markovian noise acting on each spin.
* [QuasiHamiltonianRTN](https://github.com/matteoacrossi/QuasiHamiltonianRTN.jl) (11 2018) evaluating the dynamics of a quantum
system affected by one or more sources of random telegraph noise 
* [ExpmV.jl](https://github.com/matteoacrossi/ExpmV.jl) (01 2019) function for computing `expm(t*A)*v` when `A` is sparse, without explicitly computing `expm(A)`
(Based on original by Marcus P da Silva)
* [QuantumSpatialSearch](https://github.com/matteoacrossi/QuantumSpatialSearch) (11 2018)

### [Rigetti](https://github.com/rigetti)

The following are used to model super-conducting architectures.

* [AdmittanceModels.jl](https://github.com/rigetti/AdmittanceModels.jl) (12 2019)  - *Analysis of linear systems using admittance models*
* [DiscretePDEs.jl](https://github.com/rigetti/DiscretePDEs.jl) (10 2019) - *Partial differential equations using Discrete Exterior Calculus*
* [DiscreteExteriorCalculus.jl](https://github.com/rigetti/DiscreteExteriorCalculus.jl) (10 2019) - *Discrete differential geometry on simplicial complexes*

### [PainterQubits](https://github.com/PainterQubits) (06 2021)

## Topics

### Optimal Quantum Control

* [JuliaQuantumControl](https://github.com/JuliaQuantumControl) (11 2021) - *packages implementing a comprehensive collection of methods of open-loop quantum optimal control.*

### Simulation of Quantum Computers

* [PastaQ.jl](https://github.com/GTorlai/PastaQ.jl) (06 2021) - *PastaQ is a julia package for simulating and benchmarking quantum computers using a combination of machine learning and tensor network algorithms.*
* [QuantumClifford.jl](https://github.com/Krastanov/QuantumClifford.jl) (06 2021) - *High-performance simulator of Clifford circuits using the Stabilizer / Tableau formalism and extensions.*

### Simulation of quantum systems

#### Quantum Optics ([QOJulia](https://github.com/qojulia))

* [QuantumOptics.jl](https://github.com/qojulia/QuantumOptics.jl) (06 2021) - *a numerical
  framework written in Julia that makes it easy to simulate various kinds
  of quantum systems. It is inspired by the Quantum Optics Toolbox for MATLAB and the Python framework QuTiP.*
  This is evidently more general than quantum optics.

#### [Schrodinger.jl](https://github.com/jebej/Schrodinger.jl) (05 2021) - *Fast and easy simulation of quantum mechanical systems.*

#### [PauliStrings.jl](https://github.com/nicolasloizeau/PauliStrings.jl) (11 2024) - *Quantum many body systems with Pauli strings*

### Utilities

* [ILog2](https://github.com/jlapeyre/ILog2.jl) (10 2021) a fast implementation integer-valued, base 2 logarithm
* [QuantumCircuitDraw.jl](https://github.com/nicolasloizeau/QuantumCircuitDraw.jl) (01 2025) Plot quantum circuits in Qiskit style.

### Tensors

Some tensor packages appear above. Repeat them ? Link them ?

Here is [discussion on tensor packages](https://discourse.julialang.org/t/comparison-of-tensor-packages/11425).

* [SymmetricTensors.jl](https://github.com/iitis/SymmetricTensors.jl) (06 2021) - *Framework for symmetric tensors*
* [Tensors.jl](https://github.com/KristofferC/Tensors.jl) (05 2021) - *Efficient computations with symmetric and non-symmetric tensors with support for automatic differentiation.* The author [says](https://discourse.julialang.org/t/comparison-of-tensor-packages/11425/2?u=jlapeyre) this is
 for real tensors. So quantum applications may be limited. Or the author may say "real" for "genuine".
* [TensorCast.jl](https://github.com/mcabbott/TensorCast.jl) (04 2021) - *It slices, it dices, it splices!*
* [OMEinsum.jl](https://github.com/under-Peter/OMEinsum.jl) (06 2021) - *One More Einsum for Julia! With runtime order-specification and high-level adjoints for AD*
* [TensorNetworkAD.jl](https://github.com/under-Peter/TensorNetworkAD.jl) (08 2019) - *Algorithms that combine tensor network methods with automatic differentiation.*
* [Einsum.jl](https://github.com/ahwillia/Einsum.jl) (02 2019) - *Einstein summation notation*
* [Tullio.jl](https://github.com/mcabbott/Tullio.jl) (05 2021)
* [MERA.jl](https://github.com/mhauru/MERA.jl) (11 2020) - *some basic Multiscale Entaglement Renormalization Ansatz algorithms*
* [SweepContractor.jl](https://github.com/chubbc/SweepContractor.jl) (10 2021) - *Tensor network contraction algorithm*

### Quantum Algebra

* [QuantumAlgebra.jl](https://github.com/jfeist/QuantumAlgebra.jl) (04 2021) - *quantum operator algebra (i.e., algebra with non-commuting operators)*
* [Fermionic.jl](https://github.com/Marco-Di-Tullio/Fermionic.jl) (06 2021) - *Fermionic is a Julia toolkit for implementing fermionic simulations and exploring its quantum information properties.*

### Mathematics

* [Grassmann.jl](https://github.com/chakravala/Grassmann.jl) (06 2021) - *Tools for doing computations based on multi-linear algebra, differential geometry, and spin groups using the extended tensor algebra known as Leibniz-Grassmann-Clifford-Hestenes geometric algebra.*

### Quantum Chemistry

#### [JuliaAtoms](https://github.com/JuliaAtoms) (06 2021) - This project includes several pacakges. Just one of them is listed below

* [Atoms.jl](https://github.com/JuliaAtoms/Atoms.jl) (06 2021) - *provides structures for representing atoms as linear combinations of single-particle orbitals*

#### Others

* [QuantumLab.jl](https://github.com/vonDonnerstein/QuantumLab.jl) (06 2021) - *A workbench for Quantum Chemistry and Quantum Physics.*
* [DFTK.jl](https://github.com/JuliaMolSim/DFTK.jl/) (06 2021) - *Density-functional toolkit* *is a library of Julia routines for experimentation
with plane-wave density-functional theory (DFT), as implemented in much larger production codes such as Abinit, Quantum Espresso and VASP.*

### Molecular and protein dynamics, etc.

* [JuliaMolSim](https://github.com/JuliaMolSim) (06 2021) - An organization. *Molecular Simulation in Julia*.
  Note that [DFTK.jl](https://github.com/JuliaMolSim/DFTK.jl/), listed above, is in this org.
* [Molly.jl](https://github.com/jgreener64/Molly.jl) (06 2021) - *Molecular dynamics*
* [ProteinEnsembles.jl](https://github.com/jgreener64/ProteinEnsembles.jl) (12 2020) - *Generate and perturb protein structural ensembles using the ExProSE algorithm*

### See Also

* [TutorialForPhysicists.jl](https://rogerluo.me/TutorialForPhysicists.jl/latest/toolchain/index.html) (11 2019) including lists
of packages for physics. The [github page](https://github.com/Roger-luo/TutorialForPhysicists.jl). The author says
1) this is out of date and 2) See [this](https://juliaphysics.github.io/latest/index.html).

## Unmaintained, deprecated, etc. packages and projects

* [TensorToolbox.jl](https://github.com/Jutho/TensorToolbox.jl) (09 2017)
   See the author Jutho's [replacement packages]((https://github.com/Jutho)
* [NCon.jl](https://github.com/mhauru/NCon.jl) recommended replacement: [TensorOperations.jl](https://github.com/Jutho/TensorOperations.jl)
* [JuliaQuantum](https://github.com/JuliaQuantum) (12 2016)

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