Instead of projective measurement, we use weak measurement to define quantum and geometric discords, and compare them with the normal quantum and geometric discords based on the projective measurement in noninertial frames. We find that using weak measurement to define quantum discord we can capture more quantum correlations compared with the projective measurement, so calling it super quantum discord. However, we note that the geometric discord based on the weak measurements becomes smaller, so we name it inferior "geometric discord". We also show that, although both the super quantum discord and the inferior "geometric discord" decrease with the increase of observer's acceleration, the super quantum discord/inferior "geometric discord" increases/decreases as the measurements become weak. These differences reveal that the definitions of the quantum and geometric discords are not too concordant with each other.
<p> <span>We investigate the teleportation between two relatively accelerating partners undergoing the phase flip, bit flip and bit-phase flip channels. We find that: </span><span>1</span><span>) the fidelity decreases by increasing the acceleration of accelerated observer; </span><span>2</span><span>) the dynamic evolution of the fidelity is different for various channels if the acceleration is fixed; and </span><span>3</span><span>) the fidelity is always symmetric about</span><span> </span><i><span style="font-family:宋体;">β</span></i><sup><span>2</span></sup><span>=1/2</span><span> where</span><span> </span><i><span style="font-family:宋体;">β</span></i><span>is a parameter of the transmission state.</span><span></span> </p>
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