تقرير
Efficient Local Classical Shadow Tomography with Number Conservation
| العنوان: | Efficient Local Classical Shadow Tomography with Number Conservation |
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| المؤلفون: | Hearth, Sumner N., Flynn, Michael O., Chandran, Anushya, Laumann, Chris R. |
| المصدر: | Phys. Rev. Lett. 133, 060802, 2024 |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Quantum Gases, Condensed Matter - Strongly Correlated Electrons |
| الوصف: | Shadow tomography aims to build a classical description of a quantum state from a sequence of simple random measurements. Physical observables are then reconstructed from the resulting classical shadow. Shadow protocols which use single-body random measurements are simple to implement and capture few-body observables efficiently, but do not apply to systems with fundamental number conservation laws, such as ultracold atoms. We address this shortcoming by proposing and analyzing a new local shadow protocol adapted to such systems. The "All-Pairs" protocol requires one layer of two-body gates and only $\textrm{poly}(V)$ samples to reconstruct arbitrary few body observables. Moreover, by exploiting the permutation symmetry of the protocol, we derive a linear time post-processing algorithm. We provide a proof-of-principle reference implementation and demonstrate the reconstruction of 2- and 4-point functions in a paired Luttinger liquid of hardcore bosons. Comment: 6 pages 3 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevLett.133.060802 |
| URL الوصول: | http://arxiv.org/abs/2311.09291 |
| رقم الأكسشن: | edsarx.2311.09291 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevLett.133.060802 |
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