Abstract
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.
Highlights
The integration of quantum information and another fundamental theory of modern physics—relativity theory creates the relativistic quantum information [1] [2]
To study the quantum and geometric discords based on the weak measurement and compare them with that based on the projective measurement, we introduce the definitions for the quantum discord and geometric discord based on these two different measurements
By investigating the quantum correlations based on the weak measurement in noninertial frame we study the properties and inconsistence of the quantum discord and geometric discord
Summary
The integration of quantum information and another fundamental theory of modern physics—relativity theory creates the relativistic quantum information [1] [2]. Uttam Singh and Arun Kumar Pati recently used the weak measurement to define quantum discord [27] instead of the projective measurement, and they surprisedly found that weak measurement can capture more quantum correlation, and the super quantum discord can be potentially a useful resource for quantum computation, quantum communication and general quantum information processing tasks They have proved that the super quantum discord in the post measured state is equal to the difference between the super quantum discord and the normal quantum discord in the original state, and the weak measurement has the ability to resurrect the lost quantumness of any composite quantum state [28].
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