Pure State Tomography with Pauli Measurements
| Autor: | Ma, Xian, Jackson, Tyler, Zhou, Hui, Chen, Jianxin, Lu, Dawei, Mazurek, Michael D., Fisher, Kent A. G., Peng, Xinhua, Kribs, David, Resch, Kevin J., Ji, Zhengfeng, Zeng, Bei, Laflamme, Raymond |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 93, 032140 (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.93.032140 |
| Popis: | We examine the problem of finding the minimum number of Pauli measurements needed to uniquely determine an arbitrary $n$-qubit pure state among all quantum states. We show that only $11$ Pauli measurements are needed to determine an arbitrary two-qubit pure state compared to the full quantum state tomography with $16$ measurements, and only $31$ Pauli measurements are needed to determine an arbitrary three-qubit pure state compared to the full quantum state tomography with $64$ measurements. We demonstrate that our protocol is robust under depolarizing error with simulated random pure states. We experimentally test the protocol on two- and three-qubit systems with nuclear magnetic resonance techniques. We show that the pure state tomography protocol saves us a number of measurements without considerable loss of fidelity. We compare our protocol with same-size sets of randomly selected Pauli operators and find that our selected set of Pauli measurements significantly outperforms those random sampling sets. As a direct application, our scheme can also be used to reduce the number of settings needed for pure-state tomography in quantum optical systems. Comment: 13 pages, 7 figures. Comments are welcome |
| Databáze: | arXiv |
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