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In this paper we investigate two different entanglement measures in the case of mixed states of two qubits. We prove that the negativity of a state can never exceed its concurrence and is always larger then $\sqrt{(1-C)^2+C^2}-(1-C)$ where…

量子物理 · 物理学 2009-11-07 Frank Verstraete , Koenraad Audenaert , Jeroen Dehaene , Bart De Moor

Entanglement serves as a fundamental resource for various quantum information processing tasks. Fidelity of entanglement (which measures the proximity to a maximally entangled state) and various quantum entropies are key indicators for…

量子物理 · 物理学 2025-10-21 Komal Kumar , Bivas Mallick , Tapaswini Patro , Nirman Ganguly

It is well known that for two qubits the upper bounds of the relative entropy of entanglement (REE) for a given concurrence as well as the negativity for a given concurrence are reached by pure states. We show that, by contrast, there are…

量子物理 · 物理学 2008-11-05 Adam Miranowicz , Satoshi Ishizaka , Bohdan Horst , Andrzej Grudka

We establish a quantitative relation between local spin polarization and quantum entanglement in two-qubit systems by deriving an upper bound on the concurrence at fixed local polarizations, showing that increasing polarization constrains…

高能物理 - 唯象学 · 物理学 2026-05-25 Yu-Xuan Liu , Wei Qi , Luo-Ting He , Bo-Wen Xiao

We study the robustness of genuine multipartite entanglement and inseparability of multipartite pure states under superposition with product pure states. We introduce the concept of the maximal and the minimal Schmidt ranks for multipartite…

量子物理 · 物理学 2025-04-17 Hui-Hui Qin , Shao-Shuai Zhao , Shao-Ming Fei

We consider the problems of maximizing the entanglement negativity of X-form qubit-qutrit density matrices with (i) a fixed spectrum and (ii) a fixed purity. In the first case, the problem is solved in full generality whereas, in the…

量子物理 · 物理学 2017-02-22 Paulo E. M. F. Mendonca , Marcelo A. Marchiolli , Samuel R. Hedemann

Maximally entangled mixed states are those states that, for a given mixedness, achieve the greatest possible entanglement. For two-qubit systems and for various combinations of entanglement and mixedness measures, the form of the…

We consider a generalized central spin model, consisting of two central qubits and an environmental spin chain (with periodic boundary condition) to which these central qubits are locally and weakly connected either at the same site or at…

统计力学 · 物理学 2016-08-23 Tanay Nag , Amit Dutta

Entanglement in bipartite continuous-variable systems is investigated in the presence of partial losses, such as those introduced by a realistic quantum communication channel, e.g. by propagation in an optical fiber. We find that…

Entanglement subject to noise can not be shielded against decaying. But, in case of many noisy channels, the degradation can be partially prevented by using local unitary operations. We consider the effect of local noise on shared quantum…

量子物理 · 物理学 2025-02-05 Priya Ghosh , Kornikar Sen , Ujjwal Sen

The interaction with the environment is one of the main obstacles to be circumvented in practical implementations of quantum information tasks. The use of local unitaries, while not changing the initial entanglement present in a given…

Amplitude damping changes entangled pure states into usually less-entangled mixed states. We show, however, that even local amplitude damping of one or two qubits can result in mixed states more entangled than pure states if one compares…

量子物理 · 物理学 2013-04-18 Bohdan Horst , Karol Bartkiewicz , Adam Miranowicz

We discuss entanglement evolution of a multi-qubit system when one of its qubits is subjected to a general noisy channel. For such a system, an evolution equation of entanglement for a lower bound for multi-qubit concurrence is derived.…

量子物理 · 物理学 2010-12-30 Michael Siomau , Stephan Fritzsche

A maximally entangled state is a quantum state which has maximum von Neumann entropy for each bipartition. Through proposing a new method to classify quantum states by using concurrences of pure states of a region, one can apply Bell's…

量子物理 · 物理学 2018-08-01 Su-Kuan Chu , Chen-Te Ma , Rong-Xin Miao , Chih-Hung Wu

We explore the relative robustness of squeezing and entanglement (which are quantum resources interconvertible via passive optics) for two-mode Gaussian states under different dissipative environments. When the individual modes interact…

量子物理 · 物理学 2024-06-28 Rishabh , Chandan Kumar , Geetu Narang , Arvind

Genuine entanglement is the strongest form of multipartite entanglement. Genuinely entangled pure states contain entanglement in every bipartition and as such can be regarded as a valuable resource in the protocols of quantum information…

量子物理 · 物理学 2021-12-07 K. V. Antipin

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…

量子物理 · 物理学 2015-04-13 Karol Bartkiewicz , Jiří Beran , Karel Lemr , Michał Norek , Adam Miranowicz

Quantities invariant under local unitary transformations are of natural interest in the study of entanglement. This paper deduces and studies a particularly simple quantity that is constructed from a combination of two standard permutations…

量子物理 · 物理学 2021-08-12 Udaysinh T. Bhosale , Arul Lakshminarayan

The distribution of entangled states is a key task of utmost importance for many quantum information processing protocols. A commonly adopted setup for distributing quantum states envisages the creation of the state in one location, which…

We study entanglement dynamics of the three-qubit system which is initially prepared in pure Greenberger-Horne- Zeilinger (GHZ) or W state and transmitted through one of the Pauli channels $\sigma_z, \, \sigma_x, \, \sigma_y$ or the…

量子物理 · 物理学 2010-11-02 Michael Siomau , Stephan Fritzsche