Towards a complete and continuous Wigner function for an ensemble of spins or qubits

Towards a complete and continuous Wigner function for an ensemble of spins or qubits
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DOI:
10.1103/physreva.86.062117
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发表时间:
2012-10
期刊:
影响因子:
2.9
通讯作者:
D. Harland;M. Everitt;K. Nemoto;T. Tilma;T. Spiller
D. Harland;M. Everitt;K. Nemoto;T. Tilma;T. Spiller
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
D. Harland;M. Everitt;K. Nemoto;T. Tilma;T. Spiller

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对于自旋半粒子或量子比特系综,我们提出了一个新的准概率分布函数,它与Wigner关于连续变量系统的原始函数有许多共同的性质。我们表明,该函数提供了各种态的清晰和直观的图形表示,包括Fock态、自旋相干态、压缩态、叠加态和统计混合。与以前试图表示自旋/量子位集合的尝试不同,这种分布能够同时表示几个角动量壳层。
We present a new quasi-probability distribution function for ensembles of spin-half particles or qubits that has many properties in common with Wigner's original function for systems of continuous variables. We show that this function provides clear and intuitive graphical representation of a wide variety of states, including Fock states, spin-coherent states, squeezed states, superpositions and statistical mixtures. Unlike previous attempts to represent ensembles of spins/qubits, this distribution is capable of simultaneously representing several angular momentum shells.