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entropy1
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If we consider quantum wavefunction-collapse, when we end up in a world-thread with a specific value of the measurement outcome, has information got lost?
Yes, I was wondering about that...Demystifier said:It depends on what do you mean by "information". Information about what?
Ok. So I mean is that the only information that gets lost? And is that a problem? Does the new state compensate for the loss of the old state?Demystifier said:If you mean information about the state before the measurement, then yes, it gets lost.
Yes.entropy1 said:I was imagining that when an oucome has manifested, information about the other outcomes that were possible is lost?
Yes.entropy1 said:Ok. So I mean is that the only information that gets lost?
Not really. (But the idea of collapse is problematic for other reasons that have nothing to do with information loss.)entropy1 said:And is that a problem?
Yes. In a sense, the new state contains the same "amount" of information.entropy1 said:Does the new state compensate for the loss of the old state?
One approach to solving this problem involves adding a small, random extra term to the Schrödinger equation, which allows the quantum state vector to 'collapse,' ensuring that—as is observed in the macroscopic universe—the outcome of each measurement is unique. Laloë's theory combines this interpretation with another from de Broglie and Bohm and relates the origins of the quantum collapse to the universal gravitational field. This approach can be applied equally to all objects, quantum and macroscopic: that is, to cats as much as to atoms.
In contrast with the usual interpretations of the de Broglie-Bohm (dBB) theory, we make no particular assumption concerning the physical reality of these positions; they can be seen, either as physically real, or as a pure mathematical object appearing in the dynamical equations.
Yes, the process of measurement can alter the information we obtain. This is because measurement involves interaction with the system being measured, which can cause changes or disturbances.
Yes, information can be lost during the measurement process. This can happen due to limitations in the measuring device or technique, or due to the inherent uncertainty in quantum systems.
The uncertainty principle states that it is impossible to know certain pairs of physical properties of a particle with absolute precision. This means that during measurement, some information will inevitably be lost due to the trade-off between precision and accuracy.
Yes, there are techniques and methods that can minimize information loss during measurement. These include using more precise measuring devices, reducing the interaction between the measuring device and the system being measured, and using mathematical techniques to extract more information from the measurement results.
The observer effect refers to the idea that the act of observing or measuring a system can affect its behavior. In quantum mechanics, this can lead to information loss as the act of measuring a particle can change its state. However, with careful experimental design and advanced measuring techniques, the impact of the observer effect can be minimized.