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.ipynb_checkpoints/Meta-VQE-checkpoint.ipynb

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"\n",
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"_Authors:_ Alba Cervera-Lierta, Jakob Kottman, Alán Aspuru-Guzik.\n",
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"\n",
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"This notebook presents a demo code to reproduce the results of the article (Ref.).\n",
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"This notebook presents a demo code to reproduce the results of the article \"The Meta-Variational Quantum Eigensolver (Meta-VQE): Learning energy profiles of parameterized Hamiltonians for quantum simulation\" (http://arxiv.org/abs/2009.13545).\n",
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"\n",
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"This demo simulates a meta-VQE for the 1D XXZ model with external field. It also shows the comparison with a standard VQE, opt-meta-VQE, GA-VQE and opt-GA-VQE algorithms detailed in the main article. \n",
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"For computational reasons, the notebook is set to simulate a $n=4$ spin chain and a meta-VQE with $2$ encoding layer and $1$ processing layers. Results shown in the main article can be obtained by adjusting the number of qubits and layers. Article results can be found in \"data\" (link) folder in this repository.\n",
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"\n",
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"The code is written using _Tequila_ language (Ref.) and _qulacs_ simulator as a default backend.\n",
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"The code is written using [_Tequila_](https://github.com/aspuru-guzik-group/tequila) language and [_qulacs_](https://github.com/qulacs/qulacs) simulator as a default backend.\n",
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"\n",
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"__Table of contents:__\n",
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"1. [Model and PQC ansatz](#Model-and-PQC-ansatz)\n",

Meta-VQE.ipynb

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"\n",
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"_Authors:_ Alba Cervera-Lierta, Jakob Kottman, Alán Aspuru-Guzik.\n",
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"\n",
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"This notebook presents a demo code to reproduce the results of the article (Ref.).\n",
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"This notebook presents a demo code to reproduce the results of the article \"The Meta-Variational Quantum Eigensolver (Meta-VQE): Learning energy profiles of parameterized Hamiltonians for quantum simulation\" (http://arxiv.org/abs/2009.13545).\n",
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"\n",
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"This demo simulates a meta-VQE for the 1D XXZ model with external field. It also shows the comparison with a standard VQE, opt-meta-VQE, GA-VQE and opt-GA-VQE algorithms detailed in the main article. \n",
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"\n",
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"For computational reasons, the notebook is set to simulate a $n=4$ spin chain and a meta-VQE with $2$ encoding layer and $1$ processing layers. Results shown in the main article can be obtained by adjusting the number of qubits and layers. Article results can be found in \"data\" (link) folder in this repository.\n",
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"\n",
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"The code is written using _Tequila_ language (Ref.) and _qulacs_ simulator as a default backend.\n",
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"The code is written using [_Tequila_](https://github.com/aspuru-guzik-group/tequila) language and [_qulacs_](https://github.com/qulacs/qulacs) simulator as a default backend.\n",
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"\n",
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"__Table of contents:__\n",
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"1. [Model and PQC ansatz](#Model-and-PQC-ansatz)\n",

README.md

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# Meta-VQE
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This is the repository for the article (Ref.).
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This is the repository for the article "The Meta-Variational Quantum Eigensolver (Meta-VQE): Learning energy profiles of parameterized Hamiltonians for quantum simulation", Alba Cervera-Lierta, Jakob S. Kottmann, Alán Aspuru-Guzik, [arXiv:2009.13545[quant-ph]](https://arxiv.org/abs/2009.13545).
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__Content:__
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