Product measurements and fully symmetric measurements in qubit-pair tomography: A numerical study
Yong Siah Teo, Huangjun Zhu, Berthold-Georg Englert
TL;DR
This paper investigates whether symmetric joint measurements improve qubit-pair tomography efficiency, finding through numerical simulations that they do not outperform separate measurements.
Contribution
It provides a numerical analysis showing that highly symmetric joint measurements do not enhance tomography efficiency over separate measurements for qubit pairs.
Findings
Symmetric joint measurements are not more efficient than separate measurements in qubit-pair tomography.
Numerical simulations do not support the expected advantage of symmetric measurements.
The study challenges assumptions about measurement symmetry benefits in quantum state tomography.
Abstract
State tomography on qubit pairs is routinely carried out by measuring the two qubits separately, while one expects a higher efficiency from tomography with highly symmetric joint measurements of both qubits. Our numerical study of simulated experiments does not support such expectations.
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