تقرير
Local Hamiltonian decomposition and classical simulation of parametrized quantum circuits
| العنوان: | Local Hamiltonian decomposition and classical simulation of parametrized quantum circuits |
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| المؤلفون: | Adhikari, Bibhas, Jha, Aryan |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Computer Science - Symbolic Computation |
| الوصف: | In this paper we develop a classical algorithm of complexity $O(K \, 2^n)$ to simulate parametrized quantum circuits (PQCs) of $n$ qubits, where $K$ is the total number of one-qubit and two-qubit control gates. The algorithm is developed by finding $2$-sparse unitary matrices of order $2^n$ explicitly corresponding to any single-qubit and two-qubit control gates in an $n$-qubit system. Finally, we determine analytical expression of Hamiltonians for any such gate and consequently a local Hamiltonian decomposition of any PQC is obtained. All results are validated with numerical simulations. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.13156 |
| رقم الأكسشن: | edsarx.2401.13156 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |