Entanglement of Formation of an Arbitrary State of Two Rebits
- 189 Downloads
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.
Unable to display preview. Download preview PDF.
- 1.Introduction to Quantum Computation and Information, H.-K. Lo, S. Popescu and T. Spiller, eds. (World Scientific, Singapore, 1998).Google Scholar
- 6.W. K. Wootters, “Local accessibility of quantum states,” in Complexity, Entropy and the Physics of Information, W. H. Zurek, ed. (Addison-Wesley, Redwood City, 1990), pp. 39-46.Google Scholar
- 15.P. M. Hayden, M. Horodecki, and B. M. Terhal, “The asymptotic entanglement cost of preparing a quantum state,” unpublished, arXiv:quant-ph/0008134.Google Scholar