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arXiv quant-ph/0001073quant-ph
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纠缠SU(2)和SU(1,1)相干态

Entangled SU(2) and SU(1,1) coherent states

Xiao-Guang Wang, Barry C. Sanders, Shao-hua Pan

摘要:

纠缠SU(2)和SU(1,1)相干态是多粒子SU(2)和SU(1,1)相干态的叠加态。在某些情况下,它们是关于广义su(2)和su(1,1)生成元的相干态,而多粒子宇称态作为特殊情况出现。作为纠缠SU(2)相干态的一个特例,我们引入了纠缠二项式态,这些纠缠二项式态使得纠缠SU(2)相干态可以压缩为纠缠谐振子相干态.在量子比特对的背景下讨论了纠缠SU(2)相干态。我们还介绍了纠缠负二项式态和纠缠压缩态作为纠缠SU(1,1)相干态的例子。讨论了一种产生纠缠SU(2)和SU(1,1)相干态的方法,并计算了纠缠度。在每种情况下讨论了两种SU(1,1)相干态:Perelomov相干态和Barut-Girardello相干态。

英文摘要:

Entangled SU(2) and SU(1,1) coherent states are developed as superpositions of multiparticle SU(2) and SU(1,1) coherent states. In certain cases, these are coherent states with respect to generalized su(2) and su(1,1) generators, and multiparticle parity states arise as a special case. As a special example of entangled SU(2) coherent states, entangled binomial states are introduced and these entangled binomial states enable the contraction from entangled SU(2) coherent states to entangled harmonic oscillator coherent states. Entangled SU(2) coherent states are discussed in the context of pairs of qubits. We also introduce the entangled negative binomial states and entangled squeezed states as examples of entangled SU(1,1) coherent states. A method for generating the entangled SU(2) and SU(1,1) coherent states is discussed and degrees of entanglement calculated. Two types of SU(1,1) coherent states are discussed in each case: Perelomov coherent states and Barut-Girardello coherent states.

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