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It is generally believed that entanglement is essential for quantum computing. We present here a few simple examples in which quantum computing without entanglement is better than anything classically achievable, in terms of the reliability…

量子物理 · 物理学 2007-05-23 Eli Biham , Gilles Brassard , Dan Kenigsberg , Tal Mor

Based on the monogamy of entanglement, we develop the technique of quantum conditioning to build an {\it additive} entanglement measure: the conditional entanglement of mutual information. Its {\it operational} meaning is elaborated to be…

量子物理 · 物理学 2008-10-30 Dong Yang , Michal Horodecki , Z. D. Wang

We review the problem of discriminating entangled states from separable states for bipartite systems. We formally define what entangled states are, present some important criteria to detect entanglement, and show how they can be classified…

量子物理 · 物理学 2007-05-23 Aditi Sen De , Ujjwal Sen , Maciej Lewenstein , Anna Sanpera

We study the distinguishability of multipartite quantum states by separable operations. We first present a necessary and sufficient condition for a finite set of orthogonal quantum states to be distinguishable by separable operations. An…

量子物理 · 物理学 2009-06-25 Runyao Duan , Yuan Feng , Yu Xin , Mingsheng Ying

Given a finite set of linearly independent quantum states, an observer who examines a single quantum system may sometimes identify its state with certainty. However, unless these quantum states are orthogonal, there is a finite probability…

量子物理 · 物理学 2009-09-25 Asher Peres , Daniel Terno

We demonstrate how to discriminate two non-orthogonal, entangled quantum state which are slightly different from each other by using pseudo-Hermitian system. The positive definite metric operator which makes the pseudo-Hermitian systems…

量子物理 · 物理学 2015-06-04 Ananya Ghatak , Bhabani Prasad Mandal

Quantum algorithms could efficiently solve certain classically intractable problems by exploiting quantum parallelism. To date, whether the quantum entanglement is useful or not for quantum computing is still a question of debate. Here, we…

量子物理 · 物理学 2018-01-24 He-Liang Huang , Ashutosh K. Goswami , Wan-Su Bao , Prasanta K. Panigrahi

We point out an earlier unnoticed implication of quantum indistinguishability, namely, a property which we call `dualism' that characterizes the entanglement of two identical particles (say, two ions of the same species) -- a feature which…

量子物理 · 物理学 2013-04-05 S. Bose , D. Home

Entanglement is often regarded as an inherently quantum feature. We show that this does not have to be the case: under restricted operational access, classical correlations can appear nonseparable when expressed in the formalism of quantum…

量子物理 · 物理学 2025-12-18 Samuel Schlegel , Borivoje Dakić , Flavio Del Santo

Coherence and entanglement are the two most crucial resources for various quantum information processing tasks. Here, we study the interplay of coherence and entanglement under the action of different three qubit quantum cloning operations.…

量子物理 · 物理学 2018-12-17 Suchetana Goswami , Satyabrata Adhikari , A. S. Majumdar

We show that the correct mathematical foundation of quantum decision theory, dealing with uncertain events, requires the use of positive operator-valued measure that is a generalization of the projection-valued measure. The latter is…

量子物理 · 物理学 2015-03-17 V. I. Yukalov , D. Sornette

We discuss an interferometric approach to the estimation of quantum mechanical damping. We study specific classes of entangled and separable probe states consisting of superpositions of coherent states. Based on the assumption of limited…

量子物理 · 物理学 2007-05-23 Hannah Venzl , Matthias Freyberger

We find that the perfect distinguishability of two quantum operations by a parallel scheme depends only on an operator subspace generated from their Choi-Kraus operators. We further show that any operator subspace can be obtained from two…

量子物理 · 物理学 2017-01-31 Runyao Duan , Cheng Guo , Chi-Kwong Li , Yinan Li

Quantum entanglement between particles is expected to allow one to perform tasks that would otherwise be impossible. In quantum sensing and metrology, entanglement is often claimed to enable a precision that cannot be attained with the same…

量子物理 · 物理学 2023-09-06 Liam P. McGuinness

We introduce $\Lambda$-moments with respect to any positive map $\Lambda$. We show that these $\Lambda$-moments can effectively characterize the entanglement of unknown quantum states without theirs prior reconstructions. Based on…

量子物理 · 物理学 2023-01-02 Ke-Ke Wang , Zhi-Wei Wei , Shao-Ming Fei

A complementarity relation is shown between the visibility of interference and bipartite entanglement in a two qubit interferometric system when the parameters of the quantum operation change for a given input state. The entanglement…

量子物理 · 物理学 2014-12-01 A. Hosoya , A. Carlini , S. Okano

We investigate the usefulness of side entanglement in discriminating between two generic qubit channels, {\ up to unitary pre- and post-processing,} and determine exact conditions under which it does enhance (as well as conditions under…

量子物理 · 物理学 2023-10-25 Samad Khabbazi Oskouei , Stefano Mancini , Milajiguli Rexiti

Inspired by the realignment or computable cross norm criterion, we present a new result about the characterization of quantum entanglement. Precisely, an interesting class of inequalities satisfied by all separable states of a bipartite…

量子物理 · 物理学 2008-07-29 Paolo Aniello , Cosmo Lupo

Entanglement is a central feature of quantum theory. Mathematical properties and physical applications of pure state entanglement make it a template to study quantum correlations. However, an extension of entanglement measures to mixed…

量子物理 · 物理学 2017-07-19 Aharon Brodutch , Daniel R. Terno

Discordant states appear in a large number of quantum phenomena and seem to be a good indicator of divergence from classicality. While there is evidence that they are essential for a quantum algorithm to have an advantage over a classical…

量子物理 · 物理学 2013-10-04 Aharon Brodutch