Related papers: Exact entanglement bases and general bound entangl…
The formulas in the above Erratum are corrected.
We study the entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that for pure-state systems formed by the ground state or by the excited…
This paper has been withdrawn by the author due to a crucial sign error in equation 1
In this version we have corrected some minor errors in the tables, corrected typos, and added a reference. We have also updated our comparison with earlier workers. Figures are now included as uuencoded compressed tar files.
The main result of this paper, Simon's conjecture for fibered knots, was previously proven by Silver and Whitten math.GT/0405462 with essentially the same proof. This paper is therefore being withdrawn. The author would like to apologize…
This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.
This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.
Despite the seeming simplicity of the theory, calculating (and even defining) entanglement entropy for the Maxwell theory of a $U(1)$ gauge field in (3+1) dimensions has been the subject of controversy. It is generally accepted that the…
We study the entanglement properties of deconfined quantum critical points. We show not only that these critical points may be distinguished by their entanglement structure but also that they are in general more highly entangled that…
We correct a small gap found in the authors' paper 'On bounds for the effective differential Nullstellensatz' (J Algebra 449:1-21, 2016). This gap is due to an inequality that does not generally hold. However, under one additional…
This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.
We explore and develop the mathematics of the theory of entanglement measures. After a careful review and analysis of definitions, of preliminary results, and of connections between conditions on entanglement measures, we prove a sharpened…
This paper has been withdrawn by the author, due a crucial error in Eq. 6.
In math.GT/0002110 the author's Theorems 1.1 and 1.2, combined, implied that iterated torus knots are transversally simple. This result is in error and this erratum pin points the error. In "An addendum on iterated torus knots" a more…
We give an explicit counterexample to an entanglement inequality suggested in a recent paper [quant-ph/0005126] by Benatti and Narnhofer. The inequality would have had far-reaching consequences, including the additivity of the entanglement…
This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.
This paper has been withdrawn by the authors, due an error in Bethe Ansatz equations (16).
This paper has been withdrawn by the author due to errors.
This paper has been withdrawn by the author due to a error in attachment of source file.
This paper has been withdrawn by the author because eq.(4) and those subsequent are incorrect.