This paper aims to analyze the effects of adding quantum mechanics to the expected utility problem. That is, how is an agent’s behavior regarding taking a gamble among many states of the world modified when those states fall in the framework of quantum mechanics? The paper restricts analysis to the two-state system for simplicity. Expected utility and the classical results are reviewed. Quantum...

The subset sum problem (SSP) can be briefly stated as: given a target integer E and a set A containing n positive integer aj , find a subset of A summing to E. The density d of an SSP instance is defined by the ratio of n to m, where m is the logarithm of the largest integer within A. Based on the structural and statistical properties of subset sums, we present an improved enumeration scheme fo...