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Positive partial transpose
... A ⊗ ∣ μ ⟩ B , has non negative eigenvalues . In matrix notation, if we write a N X M mixed state ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Grover's search algorithm
... N − 1⟩} and the corresponding eigenvalues by { λ 0 , λ 1 , ⋯, λ N ...
Wiki article - Anonymous (not verified) - 03/11/2015 - 06:20 - 0 comments
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Trace norm
... of ρ . The singular values are the roots of the eigenvalues of ρ ρ † . $\|\rho \|_1 = \text{Tr} ... matrix, like a density matrix, the absolute value of the eigenvalues are exactly the singular values, so the trace norm is the sum of ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Hermitian matrix
... for all x ∈ C n ; All the eigenvalues of A are real; and S * A S ... C n ; A is normal and all the eigenvalues of A are real; or S * A S ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Subentropy
... \lambda_k,$$ where { λ k } is the set of eigenvalues of ρ . In the case that some of the eigenvalues are degenerate, the limit from different eigenvalues is taken. ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Separability criteria
... were not true, the transformed system could have negative eigenvalues, which would be in contradiction with the statistical interpretation of the eigenvalues as probabilities. In order to preserve the positivity of every ...
Wiki article - Anonymous (not verified) - 04/05/2016 - 17:37 - 0 comments
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Negativity
... equivalent definition is the absolute sum of the negative eigenvalues of ρ Γ A : $$\mathcal{N}(\rho) := ... where λ i are all of the eigenvalues. Properties Is a convex function of ρ : ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum discord
... λ x where λ x are the eigenvalues of the density matrix ρ . Although the two expressions of ... numbers r j are constrained so that all eigenvalues of ρ B D remain in [0, 1 ] . The ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Observables and measurements
... H onto itself and have following properties: Eigenvalues of observables are real and in fact are possible outcomes of ... is prepared in. Let O be an observable with eigenvalues λ 1 , λ 2 , λ 3 , … and ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Von Neumann entropy
... ρ log ρ ) and if λ i are the eigenvalues of ρ then the Von Neumann entropy can be reexpressed as: ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments