منابع مشابه
A Note on Quantum Entanglement and PPT
We study quantum states for which the PPT criterion is both sufficient and necessary for separability. We present a class of 3 × 3 bipartite mixed states and show that these states are separable if and only if they are PPT.
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A detailed characterization of PPT states, both in the Heisenberg and in the Schrödinger picture, is given. Measures of entanglement are defined and discussed in details. Illustrative examples are provided. 1. Preliminaries In this section we compile some basic facts on the theory of positive maps on C∗-algebras. To begin with, let A and B be C∗-algebras (with unit), Ah = {a ∈ A; a = a∗} the se...
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We study the relationship between entanglement and spectral gap for local Hamiltonians in one dimension. The area law for a one-dimensional system states that for the ground state, the entanglement of any interval is upper-bounded by a constant independent of the size of the interval. However, the possible dependence of the upper bound on the spectral gap ∆ is not known, as the best known gener...
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COND In order to construct a motion model for the endoscope camera that moves freely in the 3D tracheo-bronchial tree, a second order auto-regressive (AR) model is used. For a Kthorder auto-regressive model, the following equation applies: Flexible fiber-optic bronchoscopy is performed on patients who are fully awake or with light conscious sedation. The procedure can entail considerable discom...
متن کاملPPT from spectra
In this contribution we solve the following problem. Let Hnm be a Hilbert space of dimension nm, and let A be a positive semidefinite self-adjoint linear operator on Hnm. Under which conditions on the spectrum has A a positive partial transpose (is PPT) with respect to any partition Hn⊗Hm of the space Hnm as a tensor product of an n-dimensional and an m-dimensional Hilbert space? We show that t...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2017
ISSN: 0024-3795
DOI: 10.1016/j.laa.2017.04.013