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Using extensive numerical analysis of 20,000 randomly generated two-qubit states, we provide a quantitative analysis of the connection between entanglement measures and Maximized Quantum Fisher Information (MQFI). Our systematic study shows…

Quantum Physics · Physics 2025-10-03 Volkan Erol

The use of finite entanglement scaling with matrix product states (MPS) has become a crucial tool for studying 1+1d critical lattice theories, especially those with emergent conformal symmetry. We argue that finite entanglement introduces a…

Strongly Correlated Electrons · Physics 2024-03-08 Rui-Zhen Huang , Long Zhang , Andreas M. Läuchli , Jutho Haegeman , Frank Verstraete , Laurens Vanderstraeten

Entanglement is a fundamental feature of quantum mechanics and holds great promise for enhancing metrology and communications. Much of the focus of quantum metrology so far has been on generating highly entangled quantum states that offer…

This paper introduces a Heisenberg picture approach to Matrix Product States (MPS), offering a rigorous yet intuitive framework to explore their structure and classification. MPS efficiently represent ground states of quantum many-body…

Mathematical Physics · Physics 2025-03-11 Abdessatar Souissi , Amenallah Andolsi

We study the mixed-state entanglement for AdS Born-Infeld (BI) theory. We calculate the mixed-state entanglement and investigate the relationship between it and the system parameters. We find that the holographic entanglement entropy (HEE)…

High Energy Physics - Theory · Physics 2023-09-26 Peng Liu , Zhe Yang , Chao Niu , Cheng-Yong Zhang , Jian-Pin Wu

We introduce a class of entangled subspaces: completely entangled subspaces of entanglement depth $k$ ($k$-CESs). These are subspaces of multipartite Hilbert spaces containing only pure states with an entanglement depth of at least $k$. We…

Quantum Physics · Physics 2024-07-03 Maciej Demianowicz , Kajetan Vogtt , Remigiusz Augusiak

We introduce and define a set of functions on pure bipartite states called entanglement moments. Usual entanglement measures tell you if two systems are entangled, while entanglement moments tell you both if and how two systems are…

Quantum Physics · Physics 2014-09-08 Justin H. Wilson , Joe Mitchell , Victor Galitski

An unextendible product basis (UPB) is a set of orthogonal product states which span a subspace of a given Hilbert space while the complementary subspace contains no product state. These product bases are useful to produce bound entangled…

Quantum Physics · Physics 2021-02-03 Pratapaditya Bej , Saronath Halder

A novel ultrabright parametric source of polarization entangled photon pairs with striking spatial characteristics is reported. The distribution of the output electromagnetic k-modes excited by Spontaneous Parametris Down Conversion and…

Quantum Physics · Physics 2007-05-23 G. Di Nepi , F. De Martini , M. Barbieri , P. Mataloni

As an analogy of best separable approximation (BSA) in the framework of entanglement theory, here we concentrate on the notion of best incoherent approximation, with application to characterizing and quantifying quantum coherence. From both…

Quantum Physics · Physics 2020-09-16 Yao Yao , Dong Li , C. P. Sun

Entanglement plays a fundamental role in quantum physics and information processing. Here, we develop an unbiased estimator for mixed-state entanglement in the few-shot scenario and directly estimate it using random unitary evolution in a…

Quantum Physics · Physics 2024-07-09 Gong-Chu Li , Lei Chen , Si-Qi Zhang , Xu-Song Hong , You Zhou , Geng Chen , Chuan-Feng Li , Guang-Can Guo

A pure multipartite quantum state is called absolutely maximally entangled (AME), if all reductions obtained by tracing out at least half of its parties are maximally mixed. Maximal entanglement is then present across every bipartition. The…

Quantum Physics · Physics 2018-04-06 Felix Huber , Christopher Eltschka , Jens Siewert , Otfried Gühne

The Minimally Entangled Typical Thermal States (METTS) are an ensemble of pure states, equivalent to the Gibbs thermal state, that can be efficiently represented by tensor networks. In this article, we use the Projected Entangled Pair…

Quantum Physics · Physics 2024-01-25 Aritra Sinha , Marek M. Rams , Jacek Dziarmaga

We consider multi-qubit systems and relate quantitatively the problems of generating cluster states with high value of concurrence of assistance, and that of generating states with maximal bipartite entanglement. We prove an upper bound for…

Quantum Physics · Physics 2009-11-11 Matyas Koniorczyk , Peter Rapcan , Vladimir Buzek

We discuss the representation of the $SO(3)$ group by two-qubit maximally entangled states (MES). We analyze the correspondence between $SO(3)$ and the set of two-qubit MES which are experimentally realizable. As a result, we offer a new…

Quantum Physics · Physics 2015-06-26 F. De Zela

Measurement models (MMs) stand at the highest structural level of quantum measurement theory. MMs can be employed to construct instruments which stand at the next level. An instrument is thought of as an apparatus that is used to measure…

Quantum Physics · Physics 2023-08-22 Stan Gudder

The determination of genuine entanglement is a central problem in quantum information processing. We investigate the tripartite state as the tensor product of two bipartite entangled states by merging two systems. We show that the…

Quantum Physics · Physics 2021-02-03 Yize Sun , Lin Chen

The Bell basis is a distinctive set of maximally entangled two-particle quantum states that forms the foundation for many quantum protocols such as teleportation, dense coding and entanglement swapping. While the generation, manipulation,…

Quantum Physics · Physics 2017-12-04 Feiran Wang , Manuel Erhard , Amin Babazadeh , Mehul Malik , Mario Krenn , Anton Zeilinger

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…

Quantum Physics · Physics 2012-05-21 Iacopo Pozzana

The maximally entangled state can be in a mixed state as well as the well-known pure state. Taking the negativity as a measure of entanglement, we study the entanglement dynamics of bipartite, mixed maximally entangled states (MMESs) in…

Quantum Physics · Physics 2016-06-15 Li-Die Wang , Li-Tao Wang , Mou Yang , Jing-Zhou Xu , Z. D. Wang , Yan-Kui Bai