Priority Choice Experimental Two-Qubit Tomography: Measuring One by One All Elements of Density Matrices

Scientific Reports
Karol BartkiewiczAdam Miranowicz

Abstract

In standard optical tomographic methods, the off-diagonal elements of a density matrix ρ are measured indirectly. Thus, the reconstruction of ρ, even if it is based on linear inversion, typically magnifies small errors in the experimental data. Recently, an optimal tomography solution measuring all the elements of ρ one-by-one without error magnification has been theoretically proposed. We implemented this method for two-qubit polarization states. For comparison, we also experimentally implemented other well-known tomographic protocols, either based solely on local measurements (of, e.g., the Pauli operators and James-Kwiat-Munro-White projectors) or with mutually unbiased bases requiring both local and global measurements. We reconstructed seventeen separable, partially and maximally entangled two-qubit polarization states. Our experiments show that our method has the highest stability against errors in comparison to other quantum tomographies. In particular, we demonstrate that each optimally-reconstructed state is embedded in an uncertainty circle of the smallest radius, both in terms of trace distance and disturbance. We explain how to experimentally estimate uncertainty radii for all the implemented tomographies and show t...Continue Reading

References

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Jan 26, 2012·Optics Express·Joseph B AltepeterPrem Kumar
Mar 10, 2012·Physical Review Letters·Jeff S Lundeen, Charles Bamber
May 18, 2013·Physical Review Letters·Karol BartkiewiczAdam Miranowicz
Dec 18, 2013·Scientific Reports·Bo QiGuangcan Guo

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Citations

Mar 24, 2020·Physical Review Letters·Jakub CzartowskiKarol Życzkowski

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