{"title":"Impact of the Existence of One-Way Functionson the Conceptual Difficulties of Quantum Measurements","authors":"Arkady Bolotin","country":null,"institution":"","volume":14,"journal":"International Journal of Nuclear and Quantum Engineering","pagesStart":79,"pagesEnd":84,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/2946","abstract":"One-way functions are functions that are easy to\r\ncompute but hard to invert. Their existence is an open conjecture; it\r\nwould imply the existence of intractable problems (i.e. NP-problems\r\nwhich are not in the P complexity class).\r\nIf true, the existence of one-way functions would have an impact\r\non the theoretical framework of physics, in particularly, quantum\r\nmechanics. Such aspect of one-way functions has never been shown\r\nbefore.\r\nIn the present work, we put forward the following.\r\nWe can calculate the microscopic state (say, the particle spin in the\r\nz direction) of a macroscopic system (a measuring apparatus\r\nregistering the particle z-spin) by the system macroscopic state (the\r\napparatus output); let us call this association the function F. The\r\nquestion is: can we compute the function F in the inverse direction?\r\nIn other words, can we compute the macroscopic state of the system\r\nthrough its microscopic state (the preimage F -1)?\r\nIn the paper, we assume that the function F is a one-way function.\r\nThe assumption implies that at the macroscopic level the Schr\u00f6dinger\r\nequation becomes unfeasible to compute. This unfeasibility plays a\r\nrole of limit of the validity of the linear Schr\u00f6dinger equation.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 14, 2008"}