Experimental Estimation of Quantum State Properties from Classical Shadows
| Autor: | Stanislav Straupe, Ya. A. Zagorovskii, E. V. Kovlakov, Sergei P. Kulik, G. I. Struchalin |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Quantum Physics
Property (programming) Computer science media_common.quotation_subject ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION General Engineering Fidelity FOS: Physical sciences State (functional analysis) Quantum state General Earth and Planetary Sciences Statistical physics Tomography Quantum Physics (quant-ph) ComputingMethodologies_COMPUTERGRAPHICS General Environmental Science media_common |
| Popis: | Full quantum tomography of high-dimensional quantum systems is experimentally infeasible due to the exponential scaling of the number of required measurements on the number of qubits in the system. However, several ideas were proposed recently for predicting the limited number of features for these states, or estimating the expectation values of operators, without the need for full state reconstruction. These ideas go under the general name of shadow tomography. Here we provide an experimental demonstration of property estimation based on classical shadows proposed in [H.-Y. Huang, R. Kueng, J. Preskill. Nat. Phys. https://doi.org/10.1038/s41567-020-0932-7 (2020)] and study its performance in the quantum optical experiment with high-dimensional spatial states of photons. We show on experimental data how this procedure outperforms conventional state reconstruction in fidelity estimation from a limited number of measurements. 10 pages, 6 figures |
| Databáze: | OpenAIRE |
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