Optical reconstruction of collective density matrix of qutrit

Reconstruction of a quantum state is of prime importance for quantum-information science. Specifically, means of efficient determination of a state of atoms of room-temperature vapor may enable applications in quantum computations and cryptography. To step toward such applications, here we present a...

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Bibliographic Details
Published in:arXiv.org 2022-09
Main Authors: Kopciuch, Marek, Pustelny, Szymon
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Cryptography
Density
Ellipticity
Optical communication
Reconstruction
Robustness (mathematics)
Room temperature
Rubidium
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Summary:Reconstruction of a quantum state is of prime importance for quantum-information science. Specifically, means of efficient determination of a state of atoms of room-temperature vapor may enable applications in quantum computations and cryptography. To step toward such applications, here we present a method of reconstruction of a collective density matrix of an atomic ensemble, consisting of atoms with an \(F=1\) ground state. Such a long-lived state is often encountered in real systems (e.g., potassium, sodium, rubidium) and hence may be practically utilized. Our theoretical treatment enables derivation of explicit formulas relating optical signals (polarization rotation and ellipticity change) with specific density-matrix elements. The analysis are supported with numerical simulations, which allows to evaluate fidelity and robustness of the algorithm. The tests show that our algorithm allows to obtain the fidelity exceeded 0.95 even at noisy environment and/or significant atomic manipulation imperfections.
ISSN:2331-8422
DOI:10.48550/arxiv.2107.03923