Entanglement of Formation of an Arbitrary State of Two Rebits

Details Entanglement of Formation of an Arbitrary State of Two Rebits Entanglement of Formation of an Arbitrary State of Two Rebits

2000-09-14

arxiv.org/abs/quant-ph/0009063v1

Physics

Quantum Physics

REVTEX, 11 pages

Scientific paper

We consider entanglement for quantum states defined in vector spaces over the real numbers. Such real entanglement is different from entanglement in standard quantum mechanics over the complex numbers. The differences provide insight into the nature of entanglement in standard quantum theory. Wootters [Phys. Rev. Lett. 80, 2245 (1998)] has given an explicit formula for the entanglement of formation of two qubits in terms of what he calls the concurrence of the joint density operator. We give a contrasting formula for the entanglement of formation of an arbitrary state of two ``rebits,'' a rebit being a system whose Hilbert space is a 2-dimensional real vector space.

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