Web10 de abr. de 2024 · The celebrated Faber–Krahn inequality states that the lowest eigenvalue Λ 1 = Λ 1 (Ω) is minimized by a ball, among all sets of given volume. By the classical isoperimetric inequality, it follows that the ball is the minimizer under the perimeter constraint too. The optimality of the ball extends to repulsive Robin boundary conditions, … Webthe PPT-squared conjecture. Herein we discuss the general theory of entanglement breaking quan-tum channels, and add a new characterization in terms of factoring through an Abelian C*-algebra. We also answer the asymptotic ana-logue to the conjecture in the a rmative: do powers of a PPT map converge to the set of entanglement breaking channels?
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Web7 de jul. de 2024 · Title:The positive partial transpose conjecture for n=3 Authors:Lin Chen, Yu Yang, Waishing Tang Download PDF Abstract:We present the PPT square … Web7 de nov. de 2024 · We prove that the PPT$$^2$$ 2 conjecture holds for linear maps between matrix algebras which are covariant under the action of the diagonal unitary group. Many salient examples, like the Choi-type maps, depolarizing maps, dephasing maps, amplitude damping maps, and mixtures thereof, lie in this class. Our proof relies on a … ttlc education credit
(PDF) On PPT Square Conjecture - Academia.edu
Web22 de jan. de 2024 · We prove the conjecture in the case n=3 as a consequence of the fact that two-qutrit PPT states have Schmidt number of at most 2. The PPT square … Web3 de ago. de 2024 · On PPT Square Conjecture Wladyslaw Adam Majewski A detailed analysis of the PPT square conjecture is given. In particular, the PPT square … WebWe prove the conjecture in the case n = 3 as a consequence of the fact that two-qutrit PPT states have Schmidt at most two. Ourresult in Lemma 3 is independentfrom the proof … ttl cis portal