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QCoin-CGF-2020
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# QCoin-CGF-2020 This repository contains sample codes used in the paper: "Quantum Coin Method for Numerical Integration" (pulished in [Computer Graphics Forum](https://onlinelibrary.wiley.com/doi/abs/10.1111/cgf.14015), a manuscript is also available in [arXiv](https://arxiv.org/abs/1910.00263)). ## QCoin on simulator (Q#) We reveal a sample code building a quantum circuit as Figure 6 (our paper). You can reproduce the QCoin's results of Figure 7 and Figure 8 by running the code many times with changing input variables appropriately. ### Install Q# Please refer to [Install the Microsoft Quantum Development Kit](https://docs.microsoft.com/en-us/quantum/install-guide/?view=qsharp-preview). ### Run Use ```dotnet run``` command on terminal. The example of result: <img src="./Teaser1.png" width="450px"> You can specify values of the number of queries (```Total_Query```), k-steps (```k_max```), and trials (```aa_loop```) in the source code of ```Driver.cs```. The program returns prediction value (```E```) for target value (```F```), and calculate absolute error (```|F-E|```). ## QSS on IBMQ (Qiskit) We show a sample code reproducing a quantum circuit in Figure 9 (our paper) and estimating a given target mean value. For more details, please refer to Jupyter notebook ```QSS_on_IBMQ.ipynb```. ## QCoin on IBMQ (Qiskit) We show a Qiskit code building a circuit of Figure 9 and forwarding calculational steps specified in Algorithm 1. You can see reduction of error along with increasing queries. For more information, please refer to Jupyter notebook ```QCoin_on_IBMQ.ipynb```. ## LICENSE MIT License (see the [LICENSE](LICENSE) file for details).
