Arkady Bolotin
Impact of the Existence of OneWay Functionson the Conceptual Difficulties of Quantum Measurements
79 - 83
2008
2
2
International Journal of Nuclear and Quantum Engineering
https://publications.waset.org/pdf/2946
https://publications.waset.org/vol/14
World Academy of Science, Engineering and Technology
Oneway functions are functions that are easy to
compute but hard to invert. Their existence is an open conjecture; it
would imply the existence of intractable problems (i.e. NPproblems
which are not in the P complexity class).
If true, the existence of oneway functions would have an impact
on the theoretical framework of physics, in particularly, quantum
mechanics. Such aspect of oneway functions has never been shown
before.
In the present work, we put forward the following.
We can calculate the microscopic state (say, the particle spin in the
z direction) of a macroscopic system (a measuring apparatus
registering the particle zspin) by the system macroscopic state (the
apparatus output); let us call this association the function F. The
question is can we compute the function F in the inverse direction
In other words, can we compute the macroscopic state of the system
through its microscopic state (the preimage F 1)
In the paper, we assume that the function F is a oneway function.
The assumption implies that at the macroscopic level the Schrödinger
equation becomes unfeasible to compute. This unfeasibility plays a
role of limit of the validity of the linear Schrödinger equation.
Open Science Index 14, 2008