Related papers: Polarized distances between quantum states and obs…
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…
This paper has been withdrawn by the author due to a coming paper completely superseding it.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
This paper has been withdrawn by the author due to errors.
The paper has been withdrawn by change of content and some errors in the examples.
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…
This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.
This paper has been withdrawn by the author, due a crucial error in Eq. 6.
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…
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…
This paper has been withdrawn by the authors because M. Aschenbrenner pointed out that the proof of theorem 3.1 was incorrect.
The paper is withdrawn due to an error in Section 2.
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…
This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.
This paper has been withdrawn due to disagreement of suggested results and methods between authors.
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 $T$…
The paper has been withdrawn by the author.
This paper has been withdrawn by the authors.
We withdraw our paper as the factorizability of the correlation functions is unproven.
The paper was withdrawn due to a gap in the proof of Lemma 3.