منابع مشابه
Unitary local invariance
We address unitary local invariance of bipartite pure states. Given a bipartite state |Ψ〉〉 = ∑ ij ψij |i〉1⊗|j〉2 the complete characterization of the class of local unitaries U1 ⊗ U2 for which U1 ⊗ U2|Ψ〉〉 = |Ψ〉〉 is obtained in terms of the singular values of the matrix Ψ = [ψ]ij . Suppose you are given a bipartite pure state |Ψ〉〉 ∈ H1 ⊗H2 and asked for which (pairs of) unitaries the state is loc...
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In arXiv:1607.06679, Marcus proved that certain functions of multiple matrices, when summed over the symmetries of the cube, decompose into functions of the original matrices. In this note, we generalize the results from the Marcus paper to a larger class of functions of multiple matrices. We also answer a problem posed in the Marcus paper. Marcus [1] exhibited certain functions that take multi...
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ژورنال
عنوان ژورنال: International Journal of Quantum Information
سال: 2005
ISSN: 0219-7499,1793-6918
DOI: 10.1142/s0219749905001523