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Absolutely maximally entangled (AME) states are multipartite entangled states that are maximally entangled for any possible bipartition. In this paper, we study the description of AME states within the graph state formalism. The graphical…

Quantum Physics · Physics 2013-06-13 Wolfram Helwig

We investigate absolutely maximally entangled (AME) states, which are multipartite quantum states that are maximally entangled with respect to any possible bipartition. These strong entanglement properties make them a powerful resource for…

Quantum Physics · Physics 2013-06-12 Wolfram Helwig , Wei Cui

Absolutely maximally entangled (AME) pure states of a system composed of $N$ parties are distinguished by the property that for any splitting at least one partial trace is maximally mixed. Due to maximal possible correlations between any…

We demonstrate that absolutely maximally entangled (AME) states consisting of $N=4n$ qudits with $n\in\{1,2,3,...\}$, each of even local dimension, cannot be realized as graph states. This result imposes strong constraints on AME states in…

Quantum Physics · Physics 2026-04-28 Jakub Wójcik , Owidiusz Makuta , Wojciech Bruzda , Remigiusz Augusiak

We study the existence of absolutely maximally entangled (AME) states in quantum mechanics and its applications to quantum information. AME states are characterized by being maximally entangled for all bipartitions of the system and exhibit…

Quantum Physics · Physics 2013-05-30 Wolfram Helwig , Wei Cui , Arnau Riera , José I. Latorre , Hoi-Kwong Lo

Highly entangled multipartite states such as k-uniform (k-UNI) and absolutely maximally entangled (AME) states serve as critical resources in quantum networking and other quantum information applications. However, there does not yet exist a…

Quantum Physics · Physics 2022-12-28 Zahra Raissi , Adam Burchardt , Edwin Barnes

Absolutely maximally entangled (AME) states are pure multi-partite generalizations of the bipartite maximally entangled states with the property that all reduced states of at most half the system size are in the maximally mixed state. AME…

Quantum Physics · Physics 2018-02-14 Zahra Raissi , Christian Gogolin , Arnau Riera , Antonio Acín

We design a series of quantum circuits that generate absolute maximally entangled (AME) states to benchmark a quantum computer. A relation between graph states and AME states can be exploited to optimize the structure of the circuits and…

Quantum Physics · Physics 2019-09-02 Alba Cervera-Lierta , José Ignacio Latorre , Dardo Goyeneche

Quantum key distribution (QKD) refers to specific quantum strategies which permit the secure distribution of a secret key between two parties that wish to communicate secretly. Quantum cryptography has proven unconditionally secure in ideal…

Quantum Physics · Physics 2008-10-14 C. Rodó , O. Romero-Isart , K. Eckert , A. Sanpera

We show that non-maximally entangled states can be used to build a quantum key distribution (QKD) scheme whose security and key rate transmission is nearly equivalent to those of standard QKD protocols. These aspects can be controlled by…

Quantum Physics · Physics 2009-11-19 Goren Gordon , Gustavo Rigolin

Absolutely Maximally Entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible partitions. AME states are known to play a relevant role in multipartite teleportation, in quantum…

Quantum Physics · Physics 2015-12-02 Dardo Goyeneche , Daniel Alsina , José I. Latorre , Arnau Riera , Karol Życzkowski

Absolutely maximally entangled (AME) states of multipartite quantum systems exhibit maximal entanglement across all possible bipartitions. These states lead to teleportation protocols that surpass standard teleportation schemes, determine…

Absolutely maximally entangled, AME, states are pure multipartite states that give rise to the maximally mixed states when half or more of the parties are traced out. AME states find applications in fields like teleportation or quantum…

Quantum Physics · Physics 2018-07-03 Antonio Bernal

We extend the relation between absolutely maximally entangled (AME) states and quantum maximum distance separable (QMDS) codes by constructing whole families of QMDS codes from their parent AME states. We introduce a reduction-friendly form…

Quantum Physics · Physics 2021-02-10 Daniel Alsina , Mohsen Razavi

This paper presents a novel hybrid Quantum Key Distribution ,QKD, protocol that combines entanglement based and non entanglement based approaches to optimize security and the number of generated keys. We introduce a dynamic system that…

Secure communication in layered networks having differently preferred participants has attracted a lot of research attention. Protocols for key distribution in a layered network have been recently proposed in [M. Pivoluska et al., Phys.…

Quantum Physics · Physics 2023-06-21 Rajni Bala , Sooryansh Asthana , V. Ravishankar

The security of measurement device-independent quantum key distribution (MDI QKD) relies on a thorough characterization of one's optical source output, especially any noise in the state preparation process. Here, we provide an extension of…

Quantum Physics · Physics 2021-01-04 J. Eli Bourassa , Ignatius William Primaatmaja , Charles Ci Wen Lim , Hoi-Kwong Lo

In this paper, we explore the construction of Planar Maximally Entangled (PME) states from phase states. PME states form a class of $n$-partite states in which any subset of adjacent particles whose size is less than or equal to half the…

Quantum Physics · Physics 2025-02-10 Lahoucine Bouhouch , Yassine Dakir , Abdallah Slaoui , Rachid Ahl Laamara

The coding space in quantum communication could be expanded to high-dimensional space by using orbital angular momentum (OAM) states of photons, as both the capacity of the channel and security are enhanced. Here we present a novel approach…

Quantum Physics · Physics 2021-01-01 Ziwen Pan , Jiarui Cai , Chuan Wang

Quantum entanglement plays a pivotal role in many communication protocols, like secret sharing and quantum cryptography. We consider a scenario where more than two parties are involved in a protocol and share a multipartite entangled state.…

Quantum Physics · Physics 2020-05-06 Arpan Das , Sumit Nandi , Sk Sazim , Pankaj Agrawal
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