Quantum Entropy and Accounting

Abstract

In a previous paper we establish the equality between accounting numbers and information in a classical Arrow-Debreu economy. One of the conditions is complete market, that is, there exists an Arrow-Debreu security for every possible state realization. In this paper, we relax this condition and establish the equality between accounting numbers and information by exploring quantum information and measurement mathematics. In the revised domain expanded relationship, von Neumann entropy replaces Shannon entropy to capture the information effect.