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We explore some basic entanglement features of multiqubit systems that are relevant for the development of algorithms for searching highly entangled states. In particular, we compare the behaviours of multiqubit entanglement measures based…

量子物理 · 物理学 2009-01-26 A. Borras , M. Casas , A. R. Plastino , A. Plastino

We study the entanglement of unitary operators on $d_1\times d_2$ quantum systems. This quantity is closely related to the entangling power of the associated quantum evolutions. The entanglement of a class of unitary operators is quantified…

量子物理 · 物理学 2009-11-07 X. Wang , P. Zanardi

Multipartite entanglement has been widely regarded as key resources in distributed quantum computing, for instance, multi-party cryptography, measurement based quantum computing, quantum algorithms. It also plays a fundamental role in…

量子物理 · 物理学 2020-09-23 Nengkun Yu

In this work, multipartite entanglement is classified by polynomials. I show that the operator size is closely related to the entanglement structure. Given a generic quantum state, I define a series of subspaces generated by operators of…

量子物理 · 物理学 2023-06-27 Qi-Feng Wu

While the scaling of entanglement in a quantum system can be used to distinguish many-body quantum phases, it is usually hard to quantify the amount of entanglement in mixed states of open quantum systems, while measuring entanglement…

We propose to characterize multipartite entanglement of pure states as local unitary transformations acting on some parts of a system that can be undone by local unitary transformations acting on other parts. This leads to a definition of…

量子物理 · 物理学 2025-07-08 Xiaole Jiang , Daniel Kabat , Gilad Lifschytz , Aakash Marthandan

Entanglement distillation is a basic task in quantum information, and the distillable entanglement of three bipartite reduced density matrices from a tripartite pure state has been studied in [Phys. Rev. A 84, 012325 (2011)]. We extend this…

量子物理 · 物理学 2019-09-09 Yize Sun , Lin Chen

One of the key manifestations of quantum mechanics is the phenomenon of quantum entanglement. While the entanglement of bipartite systems is already well understood, our knowledge of entanglement in multipartite systems is still limited.…

量子物理 · 物理学 2022-04-29 Adam Burchardt

We introduce a hierarchy of linear systems for showing that a given subspace of pure quantum states is entangled (i.e., contains no product states). This hierarchy outperforms known methods already at the first level, and it is complete in…

量子物理 · 物理学 2023-01-02 Nathaniel Johnston , Benjamin Lovitz , Aravindan Vijayaraghavan

A non-local quantum computation (NLQC) replaces an interaction between two quantum systems with a single simultaneous round of communication and shared entanglement. We study two classes of NLQC, $f$-routing and $f$-BB84, which are of…

量子物理 · 物理学 2025-07-25 Vahid R. Asadi , Eric Culf , Alex May

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

We investigate the entanglement structure of bipartite two-qutrit pure states from both geometric and operational perspectives.Using the eigenvalues of the reduced density matrix, we analyze how symmetric polynomials characterize pairwise…

量子物理 · 物理学 2026-01-13 Ankita Jana

We discuss the relation between fermion entanglement and bipartite entanglement. We first show that an exact correspondence between them arises when the states are constrained to have a definite local number parity. Moreover, for arbitrary…

量子物理 · 物理学 2017-06-21 N. Gigena , R. Rossignoli

We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the…

量子物理 · 物理学 2007-05-23 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

Despite their importance in quantum theory, joint quantum measurements remain poorly understood. An intriguing conceptual and practical question is whether joint quantum measurements on separated systems can be performed without bringing…

量子物理 · 物理学 2025-12-23 Jef Pauwels , Alejandro Pozas-Kerstjens , Flavio Del Santo , Nicolas Gisin

We introduce a general model for a network of quantum sensors, and we use this model to consider the question: When can entanglement between the sensors, and/or global measurements, enhance the precision with which the network can measure a…

量子物理 · 物理学 2018-02-28 Timothy J. Proctor , Paul A. Knott , Jacob A. Dunningham

Multipartite entanglement constitutes one of the key resources in quantum information processing. We exploit correlation tensor norms to develop a framework for its experimental detection without the need for shared frames of reference. By…

量子物理 · 物理学 2015-05-01 Claude Klöckl , Marcus Huber

The quantum entanglements are studied in terms of the invariants under local unitary transformations. A generalized formula of concurrence for $N$-dimensional quantum systems is presented. This generalized concurrence has potential…

量子物理 · 物理学 2009-11-07 Sergio Albeverio , Shao-Ming Fei

We formulate an entanglement criterion using Peres-Horodecki positive partial transpose operations combined with the Schr\"odinger-Robertson uncertainty relation. We show that any pure entangled bipartite and tripartite state can be…

量子物理 · 物理学 2009-11-13 J. Gillet , T. Bastin , G. S. Agarwal

The role of entanglement and quantum correlations in complex physical systems and quantum information processing devices has become a topic of intense study in the past two decades. In this work we present new tools for learning about…

量子物理 · 物理学 2017-03-01 Michel Boyer , Aharon Brodutch , Tal Mor
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