Add Gabs.jl projects for GSoC2025

jsoc/gsoc/gabs.md

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+# Simulations of Gaussian quantum information - Summer of Code
+
+Quantum harmonic oscillators are important modalities for quantum computation and quantum networking. A class of them, known as Gaussian bosonic systems, are efficient to simulate on a classical computer. Although such systems do not provide quantum computational advantage, they are present in most protocols and algorithms in continuous variable quantum information. [Gabs.jl](https://github.com/apkille/Gabs.jl) is a Julia library designed to enable fast simulations of Gaussian bosonic circuits and serve as a sandbox for quantum hardware and protocol design.
+
+## Efficient classical simulations of linear combinations of Gaussian quantum states
+
+Non-Gaussian quantum states cannot be simulated via their first- and second-order statistical moments in the phase space representation like Gaussian states. However, there exist fast classical algorithms for simulating superpositions of Gaussian states, which are non-Gaussian in nature. This project involves implementing such algorithmic support for analyzing certain classes of non-Gaussian states.
+
+**Recommended skills:** In-depth understanding of the quantum phase space formalism. [This paper](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.110.042402) and [also this paper](https://arxiv.org/abs/2404.07115) are useful references.
+
+**Mentors:** [Andrew Kille](https://github.com/apkille) and [Stefan Krastanov](https://github.com/Krastanov).
+
+**Expected duration:** 175 hours (but applicants can scope it as longer if they plan more extensive work)
+
+**Difficulty:** Medium
+
+## Matrix product state representations of Gaussian and non-Gaussian quantum states
+
+A matrix product state (MPS) is a valuable tensor network method for simulating quantum many-body systems.
+In particular, large continuous variable quantum systems that contain low entanglement can be simulated extremely fast with the MPS method. This project involves implementing support for MPS representations of Gaussian and non-Gaussian systems.
+
+**Recommended skills:** In-depth understanding of the quantum phase space formalism. In addition, familiarity with tensor network methods and software such as [ITensors.jl](https://github.com/ITensor/ITensors.jl). For this project, [this paper](https://opg.optica.org/optica/fulltext.cfm?uri=optica-8-10-1306&id=460148) and [also this paper](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.104.012415) are useful references.
+
+**Mentors:** [Andrew Kille](https://github.com/apkille) and [Stefan Krastanov](https://github.com/Krastanov).
+
+**Expected duration:** 175 hours (but applicants can scope it as longer if they plan more extensive work)
+
+**Difficulty:** Hard
+
+## Gaussian cluster states
+
+Due to the technological maturity of quantum measurement schemes for photons, one-way quantum computation is an attractive approach for photonic quantum processing. In the continuous variable formalism, Gaussian cluster states serve as an important piece of the measurement-based quantum computation model. This project involves the creation of conversion tools between phase space representations of Gaussian bosonic systems and Gaussian cluster states in the graph formalism.
+
+**Recommended skills:** Understanding of the quantum phase space formalism and the measurement-based quantum computation model. [This review article](https://journals.aps.org/rmp/pdf/10.1103/RevModPhys.84.621) and [recent paper](https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.2.030343) is a useful reference.
+
+**Mentors:** [Andrew Kille](https://github.com/apkille) and [Stefan Krastanov](https://github.com/Krastanov).
+
+**Expected duration:** 175 hours (but applicants can scope it as longer if they plan more extensive work)
+
+**Difficulty:** Easy

jsoc/projects.md

@@ -10,6 +10,7 @@ We have our project ideas organized below roughly by domain but you can also see
 * [CliMA](/jsoc/gsoc/clima/) – a new open-source climate model that runs on GPUs.
 <!--* [Documentation tooling](/jsoc/gsoc/documenter/) - Tooling related to documentation generation, docstrings etc.-->
 * [Ferrite FEM](/jsoc/gsoc/ferrite-fem/) - A modern finite element toolbox in Julia.
+* [Gabs](/jsoc/gsoc/gabs/) - A Gaussian quantum information simulator
 * [Graph neural networks](/jsoc/gsoc/gnn/) - Deep learning on graphs with GraphNeuralNetworks.jl.
 * [GUI](/jsoc/gsoc/gui/) - Projects related to Graphical User Interface toolkits
 * [High Performance and Parallel Computing](/jsoc/gsoc/hpc/) – write code that runs on lots of machines, goes really fast, processes lots of data, or all three.