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Trace norm
The trace norm ∥ ρ ∥ 1 of a matrix ρ is the sum of the singular ... \|_1 = \text{Tr} \sqrt{\rho \rho^\dagger} .$ The trace norm is the a special case p=1 of the class of Schatten p-norms . ... eigenvalues are exactly the singular values, so the trace norm is the sum of the absolute value of the eigenvalues of the density matrix. ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Hilbert spaces
... an inner product space that is complete with respect to the norm defined by the inner product. Hilbert spaces serve to clarify and ... a real or complex vector space H gives rise to a norm ∣∣.∣∣ as follows: $$\|x\| = \sqrt{\langle x,x ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Logarithmic negativity
... and ∣∣ ⋅ ∣∣ 1 denotes the trace norm . It relates to the negativity quant-ph/0102117 as follows: ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Superfidelity
... also Fidelity Trace distance Trace norm References Category:Handbook of Quantum Information ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Negativity
... $||X||_1 = Tr|X| = Tr \sqrt{X^\dagger X}$ is the trace norm or the sum of the sigular values of the operator X . An ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Fidelity
... See also Trace distance Trace norm Superfidelity Category:Handbook of Quantum Information ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Axiomatic approach
... . E ( ρ ) denotes an entanglement measure. Norm: normalised on maximally entangled states For all ...
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Separability criteria
... . Matrix realignment criterion or computable cross norm (CCN) criterion: If the state $\; \varrho_{AB}$ is separable, then ... n| \varrho_{AB}|\nu \rangle |\mu\rangle has trace norm not greater than 1. The above condition can be generalized as follows. ...
Wiki article - Anonymous (not verified) - 04/05/2016 - 17:37 - 0 comments
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Bra-ket notation
... functional ψ † , continuous in the norm topology, defined on H as follows: ψ † [ ... with the same symbol ϕ , continuous in the norm topology, defined on H † as follows: ϕ [ ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Multipartite entanglement
... states is convex and closed with respect to trace norm, and separability is preserved under m -separable operations ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments