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We discuss the role of nonclassicality of quantum states as a necessary resource in deterministic generation of multipartite entangled states. In particular for three bilinearly coupled modes of the electromagnetic field, tuning of the…

Quantum Physics · Physics 2015-06-26 M. C. de Oliveira , W. J. Munro

Entanglement in multipartite systems can be achieved by the coherent superposition of product states, generated through a universal unitary transformation, followed by spontaneous parametric down-conversions and path identification.

Quantum Physics · Physics 2017-04-25 Karl Svozil

Recently, Zhang et al [Phys. Rev. A 92, 012332 (2015)] presented $4d-4$ orthogonal product states that are locally indistinguishable and completable in a $d\otimes d$ quantum system. Later, Zhang et al. [arXiv: 1509.01814v2 (2015)]…

Quantum Physics · Physics 2020-04-06 Guang-Bao Xu , Ying-Hui Yang , Qiao-Yan Wen , Su-Juan Qin , Fei Gao

Unextendible product bases (UPBs) provide a versatile tool with various applications across different areas of quantum information theory. Their comprehensive characterization is thus of great importance and has been a subject of vital…

Quantum Physics · Physics 2022-08-24 Maciej Demianowicz

The unextendible entangled basis with any arbitrarily given Schmidt number $k$ (UEBk) in $\mathbb{C}^{d_1}\otimes\mathbb{C}^{d_2}$ is proposed in [Phys. Rev. A 90 (2014) 054303], $1<k\leq \min\{d_1,d_2\}$, which is a set of orthonormal…

Quantum Physics · Physics 2015-09-08 Yu Guo , Yanping Jia , Xiulan Li

Tensor network methods as presented in our open source Matrix Product States software have opened up the possibility to study many-body quantum physics in one and quasi-one-dimensional systems in an easily accessible package similar to…

Quantum Gases · Physics 2018-10-29 Daniel Jaschke , Lincoln D. Carr

Matrix product states are useful representations for a large variety of naturally occurring quantum states. Studying their typical properties is important for understanding universal behavior, including quantum chaos and thermalization, as…

Quantum Physics · Physics 2025-05-02 Sebastian Leontica , Andrew G. Green

Nonlocal sets of orthogonal product states (OPSs) are widely used in quantum protocols owing to their good property. Thus a lot of attention are paid to how to construct a nonlocal set of orthogonal product states though it is a difficult…

Quantum Physics · Physics 2020-07-29 G. B. Xu , D. H. Jiang

Suppose we have an unknown multipartite quantum state, how can we experimentally find out whether it is genuine multipartite entangled or not? Recall that even for a bipartite quantum state whose density matrix is known, it is already…

Quantum Physics · Physics 2022-11-16 Zhenyu Chen , Xiaodie Lin , Zhaohui Wei

We propose an algebraic geometry-inspired approach for constructing entangled subspaces within the Hilbert space of a multipartite quantum system. Specifically, our method employs a modified Veronese embedding, restricted to the conic, to…

Quantum Physics · Physics 2025-12-19 Masoud Gharahi , Stefano Mancini

Entanglement is the powerful and enigmatic resource central to quantum information processing, which promises capabilities in computing, simulation, secure communication, and metrology beyond what is possible for classical devices. Exactly…

Construction of genuinely entangled multipartite subspaces with certain characteristics has become a relevant task in various branches of quantum information. Here we show that such subspaces can be obtained from an arbitrary collection of…

Quantum Physics · Physics 2022-06-23 K. V. Antipin

We examine a simple scheme to generate genuine multipartite entangled states across disjoint qubit registers. We employ a shuttle qubit that is sequentially coupled, in an energy preserving manner, to the constituents within each register…

We adopt a resource-theoretic framework to classify different types of quantum network nonlocality in terms of operational constraints placed on the network. One type of constraint limits the parties to perform local Clifford gates on pure…

Quantum Physics · Physics 2023-06-19 Amanda Gatto Lamas , Eric Chitambar

We demonstrate that, contrary to common wisdom, genuine multipartite entanglement (GME) can be abundantly generated from simple non-correlated many-electron states. We show that the extracted GME can be maximized via spin-independent…

Quantum Physics · Physics 2025-04-17 Filippo Troiani , Celestino Angeli , Andrea Secchi , Stefano Pittalis

Motivated by conjectures in holography relating the entanglement of purification and reflected entropy to the entanglement wedge cross-section, we introduce two related non-negative measures of tripartite entanglement $g$ and $h$. We prove…

Quantum Physics · Physics 2021-03-31 Yijian Zou , Karthik Siva , Tomohiro Soejima , Roger S. K. Mong , Michael P. Zaletel

We present a construction of genuinely entangled multipartite quantum states based on the group theory. Analyzed states resemble the Dicke states, whereas the interactions occur only between specific subsystems related by the action of the…

Quantum Physics · Physics 2021-09-01 Adam Burchardt , Jakub Czartowski , Karol Życzkowski

We introduce with geometric means a density matrix decomposition of a multipartite quantum system of a finite dimension into two density matrices: a separable one, also known as the best separable approximation, and an essentially entangled…

Quantum Physics · Physics 2015-10-28 V. M. Akulin , G. A. Kabatyanski , A. Mandilara

We present an adaptive procedure for aligning quantum non-locality experiments without any knowledge of the two-qudit state shared by the participating parties. The quantum state produced by the source, its unitary evolution as well as the…

Quantum Physics · Physics 2024-01-25 Robert Kindler , Johannes Handsteiner , Jaroslav Kysela , Kuntuo Zhu , Bo Liu , Anton Zeilinger

We construct a simplex for multipartite qubit states of even number n of qubits, which has the same geometry concerning separability, mixedness, kind of entanglement, amount of entanglement and nonlocality as the bipartite qubit states. We…

Quantum Physics · Physics 2009-11-13 B. C. Hiesmayr , F. Hipp , M. Huber , Ph. Krammer , Ch. Spengler