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Entanglement is a powerful resource for processing quantum information. In this context pure, maximally entangled states have received considerable attention. In the case of bipartite qubit-systems the four orthonormal Bell-states are of…

量子物理 · 物理学 2015-06-26 I. Jex , G. Alber , S. M. Barnett , A. Delgado

Bell's theorem sets a boundary between the classical and quantum realms, by providing a strict proof of the existence of entangled quantum states with no classical counterpart. An experimental violation of Bell's inequality demands…

We propose a scheme by which two parties can secretely and simultaneously exchange messages. The scheme requires the two parties to share entanglement and both to perform Bell-state measurements. Only two out of the four Bell states are…

量子物理 · 物理学 2009-11-11 Sung Soon Jang , Hai-Woong Lee

We propose a quantum measurement that probabilistically projects a pair of qudits of dimension $d$ onto a Bell state in a two-qubit subspace. It can be performed using linear-optical circuits with the success probabilities of $1-d^{-1}$…

量子物理 · 物理学 2025-10-23 Tomohiro Yamazaki , Koji Azuma

Bell sampling is a simple yet powerful tool based on measuring two copies of a quantum state in the Bell basis, and has found applications in a plethora of problems related to stabiliser states and measures of magic. However, it was not…

量子物理 · 物理学 2025-11-13 Jonathan Allcock , Joao F. Doriguello , Gábor Ivanyos , Miklos Santha

We compare the classification as entangled or separable of Bell diagonal bipartite qudits with positive partial transposition (PPT) and their properties for different dimensions. For dimension $d \geq 3$, a form of entanglement exists that…

量子物理 · 物理学 2023-02-20 Christopher Popp , Beatrix C. Hiesmayr

We use hyper-entanglement to experimentally realize deterministic entanglement swapping based on quantum Elegant Joint Measurements. These are joint projections of two qubits onto highly symmetric, iso-entangled, bases. We report…

Generation of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols.…

量子物理 · 物理学 2020-11-05 Meng Li , Yun Shang

One of the essential features of quantum mechanics is that most pairs of observables cannot be measured simultaneously. This phenomenon is most strongly manifested when observables are related to mutually unbiased bases. In this paper, we…

量子物理 · 物理学 2015-05-27 M. Wiesniak , T. Paterek , A. Zeilinger

We introduce two multiple qubit controlled-unitary gates with different working principles. We employ these gates and existing quantum gates to propose simple and efficient algorithms that generate multi-term orthonormal entangled Bell-like…

量子物理 · 物理学 2014-05-15 Asutosh Kumar

Entanglement is a unique property of quantum systems and an essential resource for many quantum technologies. The ability to transfer or swap entanglement between systems is an important protocol in quantum information science. Entanglement…

量子物理 · 物理学 2022-02-23 Sofiane Merkouche , Valérian Thiel , Alex O. C. Davis , Brian J. Smith

Bell sampling is a simple yet powerful measurement primitive that has recently attracted a lot of attention, and has proven to be a valuable tool in studying stabiliser states. Unfortunately, however, it is known that Bell sampling fails…

量子物理 · 物理学 2024-05-13 Jonathan Allcock , Joao F. Doriguello , Gábor Ivanyos , Miklos Santha

The Bell's basis is composed of four maximally entangled states of two qubits, named Bell states. They are usual tools in many theoretical studies and experiments. The aim of this paper is to find out the symmetries that determine a Bell…

量子物理 · 物理学 2023-08-15 Alejandro Hnilo

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,…

量子物理 · 物理学 2017-12-04 Feiran Wang , Manuel Erhard , Amin Babazadeh , Mehul Malik , Mario Krenn , Anton Zeilinger

Quantum correlations between spatially separated parts of a $d$-dimensional bipartite system ($d\geq 2$) have no classical analog. Such correlations, also called entanglements, are not only conceptually important, but also have a profound…

We investigate the security bounds of quantum cryptographic protocols using $d$-level systems. In particular, we focus on schemes that use two mutually unbiased bases, thus extending the BB84 quantum key distribution scheme to higher…

量子物理 · 物理学 2007-05-23 Georgios M. Nikolopoulos , Gernot Alber

We analyze some special properties of a system of two qubits, and in particular of the so-called Bell basis for this system, which have played an important role in recent papers on entanglement of qubits. In particular, we show which of…

量子物理 · 物理学 2009-10-31 K. G. H. Vollbrecht , R. F. Werner

We consider two quantum cryptographic schemes relying on encoding the key into qudits, i.e. quantum states in a d-dimensional Hilbert space. The first cryptosystem uses two mutually unbiased bases (thereby extending the BB84 scheme), while…

量子物理 · 物理学 2009-11-07 Nicolas J. Cerf , Mohamed Bourennane , Anders Karlsson , Nicolas Gisin

Transferring entangled states between photon pairs is essential for quantum communication technologies. Semiconductor quantum dots are the most promising candidate for generating polarization-entangled photons deterministically. Recent…

量子物理 · 物理学 2019-10-23 Michael Zopf , Robert Keil , Yan Chen , Jingzhong Yang , Disheng Chen , Fei Ding , Oliver G. Schmidt

Using the generalized Bell states and controlled not gates, we introduce an enatanglement-based quantum key distribution (QKD) of d-level states (qudits). In case of eavesdropping, Eve's information gain is zero and a quantum error rate of…

量子物理 · 物理学 2009-11-07 Vahid Karimipour , Saber Bagherinezhad , Alireza Bahraminasab
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