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k obtained by projecting ρ, ρ′ onto the subspaces corresponding to the k largest Schmidt coefficients. Considering the finite case for all k ∈ N, one immediately arrives at the majorisation criterion in the infinite-dimensional case.
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55
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0141659106
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Note that transformations that are both symplectic and orthogonal reflect all those unitary Gaussian operations that can be implemented by means of passive optical elements (beam splitters and phase shifts).
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Note that transformations that are both symplectic and orthogonal reflect all those unitary Gaussian operations that can be implemented by means of passive optical elements (beam splitters and phase shifts).
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