تقرير
Exponential optimization of quantum state preparation via adiabatic thermalization
| العنوان: | Exponential optimization of quantum state preparation via adiabatic thermalization |
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| المؤلفون: | Cugini, Davide, Nigro, Davide, Bruno, Mattia, Gerace, Dario |
| سنة النشر: | 2024 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | The preparation of a given quantum state on a quantum computing register is a typically demanding operation, requiring a number of elementary gates that scales exponentially with the size of the problem. Using the adiabatic theorem for state preparation, whose error decreases exponentially as a function of the thermalization time, we derive an explicit analytic expression for the dependence of the characteristic time on the Hamiltonian used in the adiabatic evolution. Exploiting this knowledge, we then design a preconditioning term that modifies the adiabatic preparation, thus reducing its characteristic time and hence giving an exponential advantage in state preparation. We prove the efficiency of our method with extensive numerical experiments on prototypical spin-models, which gives a promising strategy to perform quantum simulations of manybody models via Trotter evolution on near-term quantum processors. Comment: 6 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.03656 |
| رقم الأكسشن: | edsarx.2405.03656 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |