Quantum information and accounting information: Exploring conceptual applications of topology

Abstract

Our previous attempt resulted in a paper by the same five authors, “Quantum information and accounting information: their salient features and conceptual applications,” published in the July–August 2006 issue of the Journal of Accounting and Public Policy. We now extend the previous paper to examine topological quantum computation, a remarkably innovative approach to decoherence and imprecise quantum computation. In this approach, exotic topological states are created for a natural medium to store and manipulate quantum information globally throughout the entire system. The process is intrinsically protected against imprecision and decoherence. We also explore conceptual, if not technical, applications of topological quantum computation to accounting. This is done by introducing topology’s inherent emphasis of qualitative characteristics to traditional accounting which has been dominated by quantitative characteristics. Here, financial statements’ monetary amounts may be contrasted to internal controls’ error frequencies. Part I of the paper deals with applications of topology to quantum information, after a brief introduction to basic tools. In particular the use of Fibonacci anyon and its powerful results are explained. Part II deals with applications of topology to accounting information. Part III deals with applications of topology to other potential fields.