Toward an expected utility theory of entanglement: Optimization of a probabilistic entanglement protocol

Johnny H. Esteves; Antonio Di Lorenzo

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arXiv · 1705.02983

Toward an expected utility theory of entanglement: Optimization of a probabilistic entanglement protocol

Johnny H. Esteves·Antonio Di Lorenzo

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Abstract

A utility theory of entanglement is formulated, based on the von Neumann--Morgenstern theorem. As a specific example, a protocol for measurement--induced entanglement is studied, in which the amount of entanglement obtained depends on the random result of a measurement on an ancilla. It is shown that the maximization of the utility requires a non--trivial strategy. The results are especially useful when the interaction between the ancilla and the systems to be entangled is weak.

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Johnny H. Esteves, Antonio Di Lorenzo. 2017-05-08. Toward an expected utility theory of entanglement: Optimization of a probabilistic entanglement protocol. https://arxiv.org/abs/1705.02983

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