تقرير
Quantum walk approach to simulating parton showers
العنوان: | Quantum walk approach to simulating parton showers |
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المؤلفون: | Williams, Simon, Malik, Sarah, Spannowsky, Michael, Bepari, Khadeejah |
المصدر: | Phys. Rev. D 106 (2022) 056002 |
سنة النشر: | 2021 |
المجموعة: | High Energy Physics - Experiment High Energy Physics - Phenomenology Quantum Physics |
مصطلحات موضوعية: | High Energy Physics - Phenomenology, High Energy Physics - Experiment, Quantum Physics |
الوصف: | This paper presents a novel quantum walk approach to simulating parton showers on a quantum computer. We demonstrate that the quantum walk paradigm offers a natural and more efficient approach to simulating parton showers on quantum devices, with the emission probabilities implemented as the coin flip for the walker, and the particle emissions to either gluons or quark pairs corresponding to the movement of the walker in two dimensions. A quantum algorithm is proposed for a simplified, toy model of a 31-step, collinear parton shower, hence significantly increasing the number of steps of the parton shower that can be simulated compared to previous quantum algorithms. Furthermore, it scales efficiently: the number of possible shower steps increases exponentially with the number of qubits, and the circuit depth grows linearly with the number of steps. Reframing the parton shower in the context of a quantum walk therefore brings dramatic improvements, and is a step towards extending the current quantum algorithms to simulate more realistic parton showers. Comment: 18 pages, 9 figures. Peer reviewed version for publication |
نوع الوثيقة: | Working Paper |
DOI: | 10.1103/PhysRevD.106.056002 |
URL الوصول: | http://arxiv.org/abs/2109.13975 |
رقم الأكسشن: | edsarx.2109.13975 |
قاعدة البيانات: | arXiv |
DOI: | 10.1103/PhysRevD.106.056002 |
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