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A classification of N-partite states, based on K-way negativities (K=2 to N), is proposed. The K-way partial transpose with respect to a subsystem is defined so as to shift the focus to K-way coherences instead of K subsystems of the…

Quantum Physics · Physics 2007-05-23 S. Shelly Sharma , N. K. Sharma

A characterization of N-partite states, based on K-way (K = 2 to N) negativities, is proposed. The K-way partial transpose with respect to a subsystem is defined so as to shift the focus to K-way coherences instead of K subsystems of the…

Quantum Physics · Physics 2008-07-07 S. Shelly Sharma , N. K. Sharma

We obtain, analytically, the global negativity, partial $K-$way negativities (K=2, 3), Wooter's tangle and three tangle for the generic three qubit canonical state. It is found that the product of global negativity and partial three way…

Quantum Physics · Physics 2008-08-05 S. Shelly Sharma , N. K. Sharma

It has been shown by Versraete et. al [F. Versraete, J. Dehaene, B. De Moor, and H. Verschelde, Phys. Rev. A65, 052112 (2002)] that by stochastic local operations and classical communication (SLOCC), a pure state of four qubits can be…

Quantum Physics · Physics 2010-08-06 S. Shelly Sharma , N. K. Sharma

Many of the properties of the partial transposition are not clear so far. Here the number of the negative eigenvalues of K(T)(the partial transposition of K) is considered carefully when K is a two-partite state. There are strong evidences…

Quantum Physics · Physics 2007-05-23 Y. -J. Han , X. J. Ren , Y. C. Wu , G. -C. Guo

We construct tri-qubit genuinely entangled states which have positive partial transposes with respect to bi-partition of systems. These examples disprove a conjecture [L. Novo, T. Moroder and O. G\" uhne, Phys.Rev.A {88}, 012305 (2013)]…

Quantum Physics · Physics 2016-03-23 Kil-Chan Ha , Seung-Hyeok Kye

Partial transposition of state operator is a well known tool to detect quantum correlations between two parts of a composite system. In this letter, the global partial transpose (GPT) is linked to conceptually multipartite underlying…

Quantum Physics · Physics 2012-04-17 S. Shelly Sharma , N. K. Sharma

The three-tangle is a measure of three-way entanglement in a system of three qubits. For a pure state, it can be understood as the residual entanglement not accounted for by pairwise entanglements between individual qubits. Here we define…

Quantum Physics · Physics 2015-07-01 William K. Wootters

We present a classification of three-qubit states based in their three-qubit and reduced two-qubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence…

Quantum Physics · Physics 2009-11-13 Carlos Sabín , Guillermo García-Alcaine

We describe a direct method to determine the negativity of an arbitrary two-qubit state in experiments. The method is derived by analyzing the relation between the purity, negativity, and a universal entanglement witness for two-qubit…

Quantum Physics · Physics 2015-04-13 Karol Bartkiewicz , Jiří Beran , Karel Lemr , Michał Norek , Adam Miranowicz

Recently, we introduced negativity fonts as the basic units of multipartite entanglement in pure states. We show that the relation between global negativity of partial transpose of N- qubit state and linear entropy of reduced single qubit…

Quantum Physics · Physics 2012-04-04 S. Shelly Sharma , N. K. Sharma

Multipartite entanglement is a key resource for quantum computation. It is expected theoretically that entanglement transition may happen for multipartite random quantum states, however, which is still absent experimentally. Here, we report…

We introduce a purely geometric formulation for two different measures addressed to quantify the entanglement between different parts of a tripartite qubit system. Our approach considers the entanglement-polytope defined by the smallest…

Quantum Physics · Physics 2024-10-29 Salvio Luna-Hernandez , Marco Enriquez , Oscar Rosas-Ortiz

We propose a new entanglement measure to quantify three qubits entanglement in terms of negativity. A monogamy inequality analogous to Coffman-Kundu-Wootters (CKW) inequality is established. This consequently leads to a definition of…

Quantum Physics · Physics 2007-06-11 Yong-Cheng Ou , Heng Fan

Consider three qubits A, B, and C which may be entangled with each other. We show that there is a trade-off between A's entanglement with B and its entanglement with C. This relation is expressed in terms of a measure of entanglement called…

Quantum Physics · Physics 2008-12-18 Valerie Coffman , Joydip Kundu , William K. Wootters

We present a method to find the decompositions of tripartite entangled pure states which are smaller than two successive Schmidt decompositions. The method becomes very simple when one of the subsystems is a qubit. In this particular case,…

Quantum Physics · Physics 2009-11-11 Marcio F. Cornelio , A. F. R. de Toledo Piza

Understanding what can be inferred about a multi-particle quantum system from only the knowledge of its subparts is a highly non-trivial task. Clearly, if the global system doesn't contain any information resource, nor do its subparts.…

Quantum Physics · Physics 2013-05-30 Lars Erik Würflinger , Jean-Daniel Bancal , Antonio Acín , Nicolas Gisin , Tamas Vertesi

We investigate the process of entanglement transfer from a three-mode quantized field to a system of three spatially separated qubits each one made of a two-level atom resonantly coupled to a cavity mode. The optimal conditions for…

Quantum Physics · Physics 2009-11-13 Federico Casagrande , Alfredo Lulli , Matteo G. A. Paris

Among all entanglement measures negativity arguably is the best known and most popular tool to quantify bipartite quantum correlations. It is easily computed for arbitrary states of a composite system and can therefore be applied to discuss…

Quantum Physics · Physics 2014-09-19 Christopher Eltschka , Jens Siewert

The states of a three-mode bosonic system with the restricted Hilbert space are discussed in the context of quantum entanglement and squeezing of quantum fluctuations. The states exhibiting non-zero tripartite entanglement are considered.…

Quantum Physics · Physics 2026-03-06 Joanna K. Kalaga , Jan Perina
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