Welcome to BlueTangle.jl, a noisy quantum circuit simulator in Julia. This package is made for today's quantum computing needs and challenges. BlueTangle.jl is more than just a simulator. It's a complete toolkit for working with Noisy Intermediate-Scale Quantum (NISQ) devices.
Key Features of BlueTangle.jl:
- User-Friendly and Clean Code Structure: Thanks to Julia's multiple dispatch, BlueTangle.jl provides a straightforward and clean function namespace that's easy to use and understand.
- Mid-Circuit Measurements: Incorporates crucial conditional mid-circuit measurements. This feature is valuable for studying measured-based phenomena like entanglement phase transitions. It also allows for probing exotic phenomena such as the Quantum Zeno effect, where frequent measurements can effectively slow down the evolution of a quantum system.
- Quantum Noise Channels: Offers predefined and customizable noise channels using Kraus operators, enhancing the simulation's resemblance to real quantum environments.
- Error Mitigation Techniques: Features error mitigation methods, including Pauli twirling, zero-noise extrapolation and measurement error mitigation, which are crucial for reducing noise in quantum computations. These techniques can be easily applied using a single function.
- Flexible Quantum State Representations: Offers the flexibility to perform quantum simulations using various mathematical representations. You can seamlessly switch between state vector, density matrix, and Matrix Product State (powered by ITensor) backgrounds while using the same high-level functions for circuit creation, measurement, and analysis. This feature allows you to choose the most suitable representation for your specific problem, considering factors such as system size, entanglement, and computational resources.
- Automated Trotterized Hamiltonians: Simplifies the creation of trotterized Hamiltonians by allowing users to input a string of operators, streamlining the process of simulating quantum systems.
- Automated Variational Algorithms: Offers a streamlined and user-friendly implementation of the Variational Quantum Eigensolver (VQE) algorithm. With just a few lines of code, users can easily set up and run VQE simulations to find the ground state energy of a given Hamiltonian. The package takes care of constructing the variational quantum circuit, optimizing the parameters, and returning the final results, making it a convenient tool for exploring quantum chemistry and optimization problems.
- Stabilizer Codes: Supports the creation and manipulation of quantum stabilizer error-correcting codes. This feature allows users to define stabilizer codes using a set of stabilizers and logical operators. The package provides functions for encoding, decoding, applying logical operations, making it a powerful tool for practical aspects of fault-tolerant quantum computing research.
- Quantum Information Toolkit: This toolkit enables measuring quantum entanglement, calculating partial traces, and assessing the gaussianity of states. Additionally, it features a function for calculating high-order moments, providing a unique perspective on phase transitions. It also includes simple implementation of phase estimation and the ability to conduct classical shadow experiments, making it a versatile resource for quantum computing research.
- Speed and Efficiency: Optimized for high performance, harnessing Julia's advanced JIT compilation capabilities. This ensures fast and efficient simulations, despite being packed with a multitude of features. Its design is ideal for the iterative testing and development of complex quantum circuits, providing a balance between comprehensive functionality and swift execution.
BlueTangle.jl is designed for a diverse audience, from researchers to quantum computing enthusiasts. It stands as a robust platform for experimentation in the quantum computing landscape.
Please be aware that this package is currently under active development and is in its alpha version. This means that the features are still being finalised, and the functionality is subject to change. Users may encounter bugs or incomplete features.
Aydin Deger, a Research Fellow in Quantum Computing Theory at University College London, is the sole developer of the BlueTangle.jl. With a deep interest in theoretical physics and quantum computing, Aydin aims to bridge complex quantum concepts with practical computing applications through this package. BlueTangle.jl embodies his vision of making quantum computing more accessible and comprehensible to a diverse audience, from researchers to enthusiasts.
For further information or to explore more about Aydin's work, please visit deger.xyz.
Installing BlueTangle is straightforward. You can install it through the Julia REPL using the following command:
using Pkg
Pkg.add(url="https://github.com/aydindeger/BlueTangle.jl")Alternatively, type ] add https://github.com/aydindeger/BlueTangle.jl directly in the Julia REPL.
To load the package in your Julia environment, use:
using BlueTangleFor direct installation from the source, such as in a Jupyter notebook located at the root folder of the package, use:
cd(@__DIR__)
push!(LOAD_PATH, "src")
using BlueTangleFor more examples and advanced usage, please refer to the BlueTangle.jl Documentation
This example demonstrates the creation of a Greenberger–Horne–Zeilinger (GHZ) state circuit, including the steps for measurement and calculating correlations.
# Quantum operations to prepare the GHZ state
hadamard = Op("H", 1)
cnot1 = Op("CNOT", 1, 2)
cnot2 = Op("CNOT", 2, 3)
ops = [hadamard, cnot1, cnot2]
# Compile operations into a quantum circuit
circuit = compile(ops)
# Perform measurements on the circuit
shots = 1000
measurement = measure(circuit, shots)
# Output measurement details
println("Expectation values:", measurement.expect)
println("Total magnetization moments:", measurement.mag_moments)
# Calculate and print correlations (e.g., ⟨Z₁Z₂⟩)
correlations = correlation(measurement, [1, 2])
println("Correlations:", correlations)For citation in research work, please use the following reference:
Aydin Deger, "BlueTangle.jl: A Noisy and Dynamic Quantum Circuit Simulator", https://github.com/aydindeger/BlueTangle/ (2024).