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We examine bipartite and multipartite correlations within the construct of unitary orbits. We show that the set of product states is a very small subset of set of all possible states, while all unitary orbits contain classically correlated…

Quantum Physics · Physics 2015-02-11 Kavan Modi , Mile Gu

We introduce the notion of the unextendible maximally entangled basis (UMEB), a set of orthonormal maximally entangled states in d \times d consisting of fewer that d^2 vectors which have no additional maximally entangled vectors orthogonal…

Quantum Physics · Physics 2009-11-23 Sergei Bravyi , John A. Smolin

We construct nonlinear multiparty entanglement measures for distinguishable particles, bosons and fermions. In each case properties of an entanglement measures are related to the decomposition of the suitably chosen representation of the…

Mathematical Physics · Physics 2015-06-16 Michał Oszmaniec , Marek Kuś

We investigate the inseparability of states generated by superposition of a multipartite pure entangled state with a product state. In particular, we identify specific multipartite entangled states that will always produce inseparability…

Quantum Physics · Physics 2025-09-08 Swati Choudhary , Ujjwal Sen , Saronath Halder

A typical quantum state with no symmetry can be realized by letting a random unitary act on a fixed state, and the subsystem entanglement spectrum follows the Laguerre unitary ensemble (LUE). For integer-spin time reversal symmetry, we have…

Quantum Physics · Physics 2025-04-17 Haruki Yagi , Ken Mochizuki , Zongping Gong

A few simply-stated rules govern the entanglement patterns that can occur in mutually unbiased basis sets (MUBs), and constrain the combinations of such patterns that can coexist (ie, the stoichiometry) in full complements of p^N+1 MUBs. We…

Quantum Physics · Physics 2013-05-29 Jay Lawrence

Using an operational definition we quantify the entanglement, $E_P$, between two parties who share an arbitrary pure state of $N$ indistinguishable particles. We show that $E_P \leq E_M$, where $E_M$ is the bipartite entanglement calculated…

Quantum Physics · Physics 2009-11-07 H. M. Wiseman , John A. Vaccaro

Disentanglement is the process which transforms a state $\rho$ of two subsystems into an unentangled state, while not effecting the reduced density matrices of each of the two subsystems. Recently Terno showed that an arbitrary state cannot…

Quantum Physics · Physics 2007-05-23 Tal Mor

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

We review `particle partitioning entanglement' for itinerant many-particle systems. This is defined as the entanglement between two subsets of particles making up the system. We identify generic features and mechanisms of particle…

Other Condensed Matter · Physics 2010-03-16 Masudul Haque , O. S. Zozulya , K. Schoutens

We investigate the intermediate permutational symmetries of a system of qubits, that lie in between the perfect symmetric and antisymmetric cases. We prove that, on average, pure states of qubits picked at random with respect to the uniform…

Quantum Physics · Physics 2016-01-18 Ludovic Arnaud

The classification of multipartite entanglement is essential as it serves as a resource for various quantum information processing tasks. This study concerns a particular class of highly entangled multipartite states, the so-called…

Quantum Physics · Physics 2024-11-07 N Ramadas , Arul Lakshminarayan

A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantum many-body systems undergoing spontaneous symmetry breaking…

Statistical Mechanics · Physics 2024-12-10 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

A general framework is developed for separating classical and quantum correlations in a multipartite system. Entanglement is defined as the difference in the correlation information encoded by the state of a system and a suitably defined…

Quantum Physics · Physics 2007-05-23 M. Hossein Partovi

In this work we show that the most general class of anti-unitary operators are nonphysical in nature through the existence of incomparable pure bipartite entangled states. It is also shown that a large class of inner-product-preserving…

Quantum Physics · Physics 2007-11-04 Indrani Chattopadhyay , Debasis Sarkar

An experimental verification of the maximally entangled state ensures that the constructed state is close to the maximally entangled state, but it does not guarantee that the state is exactly the same as the maximally entangled state.…

Quantum Physics · Physics 2023-02-22 Hayato Arai , Masahito Hayashi

Quantum entanglement marks a definitive feature of topological states. However, the entanglement spectrum remains insufficiently explored for topological states without a bulk energy gap. Using a combination of field theory and numerical…

Strongly Correlated Electrons · Physics 2024-07-16 Xue-Jia Yu , Sheng Yang , Hai-Qing Lin , Shao-Kai Jian

We identify a universal short-time structure in symmetry-resolved entanglement dynamics -- the entanglement channel wave (ECW) -- arising from the decomposition of entanglement into conserved-quantum-number sectors that host robust,…

Strongly Correlated Electrons · Physics 2025-08-25 Lihui Pan , Jie Chen , Chun Chen , Xiaoqun Wang

Quantum entanglement relies on the fact that pure quantum states are dispersive and often inseparable. Since pure classical states are dispersion-free they are always separable and cannot be entangled. However, entanglement is possible for…

Chaotic Dynamics · Physics 2012-11-27 Peter beim Graben , Thomas Filk , Harald Atmanspacher

It is known that particles with exotic properties can emerge in systems made of simple constituents such as qubits, due to long-range quantum entanglement. In this paper, we provide quantitative characterizations of entanglement necessary…

Quantum Physics · Physics 2025-06-18 Zhi Li , Dongjin Lee , Beni Yoshida
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