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arXiv quant-ph/0009063quant-ph
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两个Rebit任意态形成的纠缠

Entanglement of Formation of an Arbitrary State of Two Rebits

Carlton M. Caves, Christopher A. Fuchs, Pranaw Rungta

摘要:

我们考虑实数域上矢量空间中量子态的纠缠。这种真实的纠缠不同于标准量子力学中的复数纠缠。这些差异提供了对标准量子理论中纠缠本质的洞察。Wootters [Phys. Rev. Lett. 80,2245(1998)]给出了一个明确的公式纠缠的形成两个量子比特在他所谓的并发的联合密度算子。我们给出了两个"rebit“的任意态的纠缠形成的对比公式,rebit是一个系统,其Hilbert空间是一个2维实向量空间。

英文摘要:

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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