Monday, January 4, 2016

quantum mechanics - A machine which copies any object with 100% accuracy?


Does physics allow for a machine that copies an object with 100% accuracy?



Answer



The answer depends on what aspects of the object you are copying.



If it is only the text of a text file that you are interested in copying with 100% accuracy, then the answer is as simple as cp old.txt new.txt. If you want to copy all the metadata including filename, then you could do cp old.txt ../anotherDir/old.txt. If you want the full path copied with 100% accuracy then you need to move the file to another filesystem. If you want to copy the entire filesystem with 100% accuracy, then you need another partition. If you want to copy the contents of the drive with 100% accuracy then you need another drive.


The digital assets are the trivial example, but I mention it to show that the question itself is not well-defined. If you want to copy the physical drive itself with 100% accuracy then you could run another drive off the assembly line. You could argue that is not 100% accurate as the dust particles on the case might be arranged differently, but I would then argue that is not part of the drive itself. Everything that is "the drive" is what came off the assembly line and any variation therein is still "the drive". You could then further refine the question to putting the drive in a box and saying "clone everything in the box" to which we would have to ask if the state of the nitrogen, oxygen, and CO2 molecules in the air are to be copied as well.


In short, you would have to define the boundaries of what you are measuring to decide if it could be reproduced with 100% accuracy. As Manishearth mentions, you will never reproduce the quantum state. If you are not interested in the quantum state but rather some other arbitrary value of interest, then you could in theory sufficiently reproduce the object with 100% accuracy for what you are measuring.


No comments:

Post a Comment

classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...