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We provide necessary and sufficient conditions for the partial transposition of bipartite harmonic quantum states to be nonnegative. The conditions are formulated as an infinite series of inequalities for the moments of the state under…

量子物理 · 物理学 2009-11-11 E. Shchukin , W. Vogel

This paper has been withdrawn by the author due to a coming paper completely superseding it.

偏微分方程分析 · 数学 2009-08-13 Nam Q. Le

This paper has been withdrawn by the author due to a crucial sign error in equation 1

泛函分析 · 数学 2011-09-27 G. Sankara Raju Kosuru , P. Veeramani

This paper has been withdrawn by the author due to errors.

计算复杂性 · 计算机科学 2007-05-23 Gus Gutoski

The paper has been withdrawn by change of content and some errors in the examples.

代数几何 · 数学 2007-05-23 Abel Castorena

In this work, we present new connections between three types of quantum states: positive under partial transpose states, symmetric with positive coefficients states and invariant under realignment states. First, we obtain a common upper…

量子物理 · 物理学 2025-02-11 Daniel Cariello

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

微分几何 · 数学 2008-06-10 Jon Wolfson

This paper has been withdrawn by the author, due a crucial error in Eq. 6.

凝聚态物理 · 物理学 2007-05-23 Daniel L. Miller

We introduce the concept of the ``polarized'' distance, which distinguishes the orthogonal states with different energies. We also give new inequalities for the known Hilbert-Schmidt distance between neighbouring states and express this…

量子物理 · 物理学 2009-10-31 V. V. Dodonov , O. V. Man'ko , V. I. Man'ko , A. Wuensche

In quantum systems, entanglement corresponds to nonclassical correlation of nonlocal observables. Thus, entanglement (or, to the contrary, separability) of a given quantum state is not uniquely determined by properties of the state, but may…

量子物理 · 物理学 2012-05-21 Iacopo Pozzana

This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.

交换代数 · 数学 2007-05-23 Guillaume Rond

The paper is withdrawn due to an error in Section 2.

量子物理 · 物理学 2008-12-18 Gerhard Groessing

A simple minimalist argument is given for why some correlations between quantum systems boggle our classical intuition. The argument relies on two elementary physical assumptions, and recovers the standard experimentally-testable Bell…

量子物理 · 物理学 2024-08-29 Michael J. W. Hall

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

综合数学 · 数学 2009-09-21 Yun-Su Kim

This paper has been withdrawn due to disagreement of suggested results and methods between authors.

高能物理 - 唯象学 · 物理学 2008-11-26 Alexei M. Frolov , Farrukh A. Chishtie

We analyze the restrictions on the distinguishability of quantum states imposed by special relativity. An explicit expression relating the error probability for distinguishing between two orthogonal single-photon states with the time $T$…

量子物理 · 物理学 2009-11-07 S. N. Molotkov , S. S. Nazin

The paper has been withdrawn by the author.

辛几何 · 数学 2012-06-19 Leonid Polterovich

This paper has been withdrawn by the authors.

量子物理 · 物理学 2007-05-23 Stephen M. Barnett , Anthony Chefles

We withdraw our paper as the factorizability of the correlation functions is unproven.

量子物理 · 物理学 2007-05-23 Stephen D. Bartlett , Barry C. Sanders , William D. Oliver , Yoshihisa Yamamoto

The paper was withdrawn due to a gap in the proof of Lemma 3.

辛几何 · 数学 2007-05-23 H. Endo , D. Kotschick