Entanglement Sharing in Real-Vector-Space Quantum Theory

Details Entanglement Sharing in Real-Vector-Space Quantum Theory Entanglement Sharing in Real-Vector-Space Quantum Theory

2010-07-08

arxiv.org/abs/1007.1479v1

Physics

Quantum Physics

13 pages

Scientific paper

The limitation on the sharing of entanglement is a basic feature of quantum theory. For example, if two qubits are completely entangled with each other, neither of them can be at all entangled with any other object. In this paper we show, at least for a certain standard definition of entanglement, that this feature is lost when one replaces the usual complex vector space of quantum states with a real vector space. Moreover, the difference between the two theories is extreme: in the real-vector-space theory, there exist states of arbitrarily many binary objects, "rebits," in which every rebit in the system is maximally entangled with each of the other rebits.

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