Entangled random pure states with orthogonal symmetry: exact results

Entangled random pure states with orthogonal symmetry: exact results
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具有正交对称性的纠缠随机纯态:精确结果

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发表时间:
2010
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通讯作者:
P. Vivo
P. Vivo
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作者:
P. Vivo

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我们解析地计算了具有正交对称性(β = 1)的纠缠随机纯态约化密度矩阵的施密特本征值的密度ε N,M(λ),以及平均Rényi熵.所得结果对任意维数N = 2k,M的Hilbert空间剖分都是有效的,并且与数值模拟结果非常吻合.
We compute analytically the density ϱN, M(λ) of Schmidt eigenvalues, distributed according to a fixed-trace Wishart–Laguerre measure, and the average Rényi entropy for reduced density matrices of entangled random pure states with orthogonal symmetry (β = 1). The results are valid for arbitrary dimensions N = 2k, M of the corresponding Hilbert space partitions, and are in excellent agreement with numerical simulations.