تقرير
Revealing symmetries in quantum computing for many-body systems
العنوان: | Revealing symmetries in quantum computing for many-body systems |
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المؤلفون: | van Leeuwen, Robert |
سنة النشر: | 2024 |
المجموعة: | Quantum Physics |
مصطلحات موضوعية: | Quantum Physics |
الوصف: | We develop a method to deduce the symmetry properties of many-body Hamiltonians when they are prepared in Jordan-Wigner form for evaluation on quantum computers. Symmetries, such as point-group symmetries in molecules, are apparent in the standard second quantized form of the Hamiltonian. They are, however, masked when the Hamiltonian is translated into a Pauli matrix representation required for its operation on qubits. To reveal these symmetries we prove a general theorem that provides a straightforward method to calculate the transformation of Pauli tensor strings under symmetry operations. They are a subgroup of the Clifford group transformations and induce a corresponding group representation inside the symplectic matrices. We finally give a simplified derivation of an affine qubit encoding scheme which allows for the removal of qubits due to Boolean symmetries and thus reduces computational effort in quantum computing applications. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2407.03452 |
رقم الأكسشن: | edsarx.2407.03452 |
قاعدة البيانات: | arXiv |
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