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In this Letter we present a new quantity that shows whether two general qubit systems are entangled, which we call harmony. It captures the notion of separability and maximal entanglement. It is also shown that harmony is monogamous for…

量子物理 · 物理学 2019-06-25 Kento Osuga , Don N. Page

We present a quantum circuit that implements a non-demolition measurement of complementary single- and bi-partite properties of a two-qubit system: entanglement and single-partite visibility and predictability. The system must be in a pure…

量子物理 · 物理学 2007-06-20 F. de Melo , S. P. Walborn , János A. Bergou , L. Davidovich

We propose an entanglement measure for two qudits based on the covariances of a set of generators of the su(N) algebra. In particular, we represent this measure in terms of the mutually unbiased projectors for N prime. For pure states this…

量子物理 · 物理学 2007-06-18 Isabel Sainz Abascal , Gunnar Björk

We propose a directly measurable criterion for the entanglement of two qubits. We compare the criterion with other criteria, and we find that for pure states, and some mixed states, it coincides with the state's concurrency. The measure can…

量子物理 · 物理学 2016-08-16 Hoshang Heydari , Gunnar Björk , Luis Sánchez-Soto

A new formulation called as entanglement measure for simplification, is presented to characterize genuine tripartite entanglement of $(2\times 2\times n)-$dimensional quantum pure states. The formulation shows that the genuine tripartite…

量子物理 · 物理学 2008-12-05 Chang-shui Yu , He-shan Song , Hai-tao Cui

We derive an analytical expression for the lower bound of the concurrence of mixed quantum states of composite 2xK systems. In contrast to other, implicitly defined entanglement measures, the numerical evaluation of our bound is…

量子物理 · 物理学 2009-11-10 Artur Lozinski , Andreas Buchleitner , Karol Zyczkowski , Thomas Wellens

We propose a scheme for both distilling and quantifying entanglement, applicable to individual copies of an arbitrary unknown two-qubit state. It is realized in a usual two-qubit interferometry with local filtering. Proper filtering…

量子物理 · 物理学 2010-06-09 S. -S. B. Lee , H. -S. Sim

We construct an important missing piece in the entanglement theory of pure three-qubit states, which is a polynomial measure of W-entanglement, working in parallel to the three-tangle, which is a polynomial measure of GHZ-entanglement, and…

量子物理 · 物理学 2025-12-12 Szilárd Szalay

In a recent paper, Rungta et. al. [Phys. Rev. A, 64, 042315, 2001] introduced a measure of mixed-state entanglement called the I-concurrence for arbitrary pairs of qudits. We find an exact formula for an entanglement measure closely related…

量子物理 · 物理学 2009-11-07 Tobias J. Osborne

We demonstrate that for every two-qubit state there is a X-counterpart, i.e., a corresponding two-qubit X-state of same spectrum and entanglement, as measured by concurrence, negativity or relative entropy of entanglement. By parametrizing…

量子物理 · 物理学 2014-09-18 Paulo E. M. F. Mendonca , Marcelo A. Marchiolli , Diógenes Galetti

We study 12 parameter families of two qubit density matrices, arising from a special class of two-fermion systems with four single particle states or alternatively from a four-qubit state with amplitudes arranged in an antisymmetric matrix.…

量子物理 · 物理学 2010-01-29 Szilárd Szalay , Péter Lévay , Szilvia Nagy , János Pipek

For pure symmetric 3-qubit states there are only three algebraically independent entanglement measures; one choice is the pairwise concurrence $\mathcal C$, the 3-tangle $\tau$, and the Kempe invariant $\kappa$. Using a canonical form for…

量子物理 · 物理学 2017-12-13 Alexander Meill , David A. Meyer

Exploring an analytical expression for the convex roof of the pure state squared concurrence for rank 2 mixed states the entanglement of a system of three particles under decoherence is studied, using the monogamy inequality for mixed…

量子物理 · 物理学 2009-08-28 Thiago R. de Oliveira

In this paper we give the new sufficient conditions of entanglement for multipartite qubit density matrixes. We discuss in detail the case for tripartite qubit density matrixes. As a criterion in concrete application, its steps are quite…

量子物理 · 物理学 2007-05-23 Zai-Zhe Zhong

We present the convergence study of a recurrence entanglement purification protocol using arbitrary two-qubit initial states. The protocol is based on a rank two projector in the Bell basis which serves as a two-qubit operation replacing…

量子物理 · 物理学 2016-11-23 Juan Mauricio Torres , József Zsolt Bernád

Adding the maximally mixed state with some weight to the entanglement system leads to disentanglement of the latter. For each predefined entangled state there exists a minimal value of this weight for which the system loses its entanglement…

量子物理 · 物理学 2021-09-01 Yu. S. Krynytskyi , A. R. Kuzmak

The concurrence, a quantitative measure of the entanglement between a pair of particles, is determined for the case where the pair is extracted from a symmetric state of N two-level systems. Examples are given for both pure and mixed states…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang , Klaus Molmer

We propose a qubit-environment entanglement measure which is tailored for evolutions that lead to pure dephasing of the qubit, such as are abundant in solid state scenarios. The measure can be calculated directly form the density matrix…

量子物理 · 物理学 2020-10-21 Katarzyna Roszak

The violation of Leggett-Garg inequalities tested the quantumness of neutrino oscillations (NOs) across macroscopic distances. The quantumness can be quantified by using the tools of the quantum resource theories. Recently, a new genuine…

量子物理 · 物理学 2022-10-18 Yu-Wen Li , Li-Juan Li , Xue-Ke Song , Dong Wang , Liu Ye

Via a multidimensional complementarity relation we derive a novel operational entanglement measure for any discrete quantum system, i.e. for any multidimensional and multipartite system. This new measure admits a separation into different…

量子物理 · 物理学 2009-11-13 Beatrix C. Hiesmayr , Marcus Huber