Efficient Quantum State Estimation with Over-complete Tomography
Chi Zhang, Guo-Yong Xiang, Yong-Sheng Zhang, Chuan-Feng Li and, Guang-Can Guo
TL;DR
This paper demonstrates that using a complete set of symmetrical measurement bases significantly improves the efficiency and precision of quantum state estimation, supported by numerical simulations and optical experiments.
Contribution
It provides a comparative analysis showing the advantages of over-complete, symmetrical measurement bases in quantum state estimation.
Findings
Symmetrical measurement bases enhance estimation efficiency.
Over-complete tomography improves estimation precision.
Experimental validation confirms simulation results.
Abstract
It is widely accepted that the selection of measurement bases can affect the efficiency of quantum state estimation methods, precision of estimating an unknown state can be improved significantly by simply introduce a set of symmetrical measurement bases. Here we compare the efficiencies of estimations with different numbers of measurement bases by numerical simulation and experiment in optical system. The advantages of using a complete set of symmetrical measurement bases are illustrated more clearly.
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Taxonomy
TopicsQuantum Information and Cryptography · Atomic and Subatomic Physics Research · Quantum Mechanics and Applications