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arXiv quant-ph/0011063quant-ph
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关于两体纠缠的单位:16盎司纠缠总是等于1磅吗?

On the units of bipartite entanglement: Is sixteen ounces of entanglement always equal to one pound?

M. A. Nielsen

摘要:

在一个好的物理理论中,像质子质量与电子质量之比m_p / m_e这样的无量纲量不依赖于所用的单位制。本文证明了一种广泛使用的定义纠缠度量的方法违反了这一原则。具体来说,在这种方法中,纠缠度量的无量纲比率E(rho)/ E(sigma)可以取决于选择什么状态作为纠缠的基本单位。这一观察使我们提出了三种新的纠缠量化方法。这些方法导致单位自由的纠缠的形成和可分解的纠缠的定义,并建议自然措施的纠缠多体系统。我们还表明,这些新的措施之一,纠缠计算的行为,与一些开放的问题,计算复杂性。

英文摘要:

In a good physical theory dimensionless quantities such as the ratio m_p / m_e of the mass of the proton to the mass of the electron do not depend on the system of units being used. This paper demonstrates that one widely used method for defining measures of entanglement violates this principle. Specifically, in this approach dimensionless ratios E(rho) / E(sigma) of entanglement measures may depend on what state is chosen as the basic unit of entanglement. This observation leads us to suggest three novel approaches to the quantification of entanglement. These approaches lead to unit-free definitions for the entanglement of formation and the distillable entanglement, and suggest natural measures of entanglement for multipartite systems. We also show that the behaviour of one of these novel measures, the entanglement of computation, is related to some open problems in computational complexity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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