Simulating Gaussian Boson Sampling with Tensor Networks in the Heisenberg picture

التفاصيل البيبلوغرافية
العنوان: Simulating Gaussian Boson Sampling with Tensor Networks in the Heisenberg picture
المؤلفون: Cilluffo, Dario, Lorenzoni, Nicola, Plenio, Martin B.
سنة النشر: 2023
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Although the Schr{\"o}dinger and Heisenberg pictures are equivalent formulations of quantum mechanics, simulations performed choosing one over the other can greatly impact the computational resources required to solve a problem. Here we demonstrate that in Gaussian boson sampling, a central problem in quantum computing, a good choice of representation can shift the boundary between feasible and infeasible numerical simulability. To achieve this, we introduce a novel method for computing the probability distribution of boson sampling based on the time evolution of tensor networks in the Heisenberg picture. In addition, we overcome limitations of existing methods enabling simulations of realistic setups affected by non-uniform photon losses. Our results demonstrate the effectiveness of the method and its potential to advance quantum computing research.
Comment: 6 pages, 2 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2305.11215
رقم الأكسشن: edsarx.2305.11215
قاعدة البيانات: arXiv