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JK423
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As the title sais... Can someone explain to me what is a non-orthogonal measurement?
I searched the web by i can't find any definition
I searched the web by i can't find any definition
JK423 said:what is a non-orthogonal measurement?
A non-orthogonal measurement refers to a type of measurement in which the measurement outcomes are not mutually exclusive or independent. This means that the different outcomes of the measurement are not orthogonal or perpendicular to each other, and there is a possibility of obtaining multiple outcomes simultaneously.
In an orthogonal measurement, the different outcomes are mutually exclusive and independent, meaning that only one outcome can occur at a time. However, in a non-orthogonal measurement, multiple outcomes can occur simultaneously, and they are not independent of each other.
Some examples of non-orthogonal measurements include measuring the position and momentum of a particle simultaneously, measuring the polarization of a photon in different directions, and measuring the spin of an electron in different axes.
Non-orthogonal measurements are important in quantum mechanics because they allow us to obtain information about different properties of a quantum system simultaneously. This is crucial in understanding the behavior of quantum systems and making accurate predictions.
One of the main challenges of non-orthogonal measurements is that they can introduce uncertainty and imprecision in the measurement outcomes. This is due to the fact that the outcomes are not mutually exclusive, and there is a possibility of obtaining multiple outcomes simultaneously. Additionally, non-orthogonal measurements can be more complex to analyze and interpret compared to orthogonal measurements.