Constructor theory of information
Abstract
We present a theory of information expressed solely in terms of which transformations of physical systems are possible and which are impossible  i.e. in constructortheoretic terms. Although it includes conjectured laws of physics that are directly about information, independently of the details of particular physical instantiations, it does not regard information as an a priori mathematical or logical concept, but as something whose nature and properties are determined by the laws of physics alone. It does not suffer from the circularity at the foundations of existing information theory (namely that information and distinguishability are each defined in terms of the other). It explains the relationship between classical and quantum information, and reveals the single, constructortheoretic property underlying the most distinctive phenomena associated with the latter, including the lack of inprinciple distinguishability of some states, the impossibility of cloning, the existence of pairs of variables that cannot simultaneously have sharp values, the fact that measurement processes can be both deterministic and unpredictable, the irreducible perturbation caused by measurement, and entanglement (locally inaccessible information).
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 December 2014
 DOI:
 10.1098/rspa.2014.0540
 arXiv:
 arXiv:1405.5563
 Bibcode:
 2014RSPSA.47140540D
 Keywords:

 Quantum Physics
 EPrint:
 doi:10.1098/rspa.2014.0540