تقرير
Practical limitations of quantum data propagation on noisy quantum processors
| العنوان: | Practical limitations of quantum data propagation on noisy quantum processors |
|---|---|
| المؤلفون: | Saxena, Gaurav, Shalabi, Ahmed, Kyaw, Thi Ha |
| المصدر: | Phys. Rev. Applied 21, 054014 (2024) |
| سنة النشر: | 2023 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | The variational quantum imaginary time evolution algorithm is efficient in finding the ground state of a quantum Hamiltonian. This algorithm involves solving a system of linear equations in a classical computer and the solution is then used to propagate a quantum wavefunction. Here, we show that owing to the noisy nature of current quantum processors, such a quantum algorithm or the family of quantum algorithms will require single- and two-qubit gates with very low error probability to produce reliable results. Failure to meet such condition will result in erroneous quantum data propagation even for a relatively small quantum circuit ansatz. Specifically, we provide the upper bounds on how the relative error in variational parameters' propagation scales with the probability of noise in quantum hardware. We also present an exact expression of how the relative error in variational parameter propagation scales with the probability of partially depolarizing noise. Comment: 6+10 pages, 6 figures. Final version published in Physical Review Applied |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevApplied.21.054014 |
| URL الوصول: | http://arxiv.org/abs/2306.13046 |
| رقم الأكسشن: | edsarx.2306.13046 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevApplied.21.054014 |
|---|