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Van Dam and Hayden introduced a concept commonly referred to as embezzlement, where, for any entangled quantum state $\phi$, there is an entangled catalyst state $\psi$, from which a high fidelity approximation of $\phi \otimes \psi$ can be…

量子物理 · 物理学 2017-03-08 Richard Cleve , Li Liu , Vern I. Paulsen

We consider bipartite exact entanglement embezzlement with a catalyst state vector $\psi$ in a Hilbert space $\mathcal{H}$ using unitaries (or more generally, contractions). If $\mathcal{M} \subseteq \mathcal{B}(\mathcal{H})$ is a von…

算子代数 · 数学 2026-05-22 Samuel J. Harris

We consider a bipartite transformation that we call self-embezzlement and use it to prove a constant gap between the capabilities of two models of quantum information: the conventional model, where bipartite systems are represented by…

量子物理 · 物理学 2022-07-13 Richard Cleve , Benoit Collins , Li Liu , Vern Paulsen

We investigate the operator-algebraic structure underlying entanglement embezzlement, a phenomenon where a fixed entangled state (the catalyst) can be used to generate arbitrary target entangled states without being consumed. We show that…

量子物理 · 物理学 2026-02-03 Li Liu

We consider inductive systems of C*-algebras with completely positive contractive connecting maps. We define a condition, called C*-encoding, which is sufficient for the limit of the system to be completely order isomorphic to a C*-algebra…

算子代数 · 数学 2023-06-26 Kristin Courtney

We propose a new protocol of \textit{universal} entanglement concentration, which converts many copies of an \textit{unknown} pure state to an \textit{% exact} maximally entangled state. The yield of the protocol, which is outputted as a…

量子物理 · 物理学 2013-05-29 Keiji Matsumoto , Masahito Hayashi

The efficient and reliable characterization of quantum states plays a vital role in most, if not all, quantum information processing tasks. In this work, we present a universally optimal protocol for verifying entangled states by employing…

量子物理 · 物理学 2021-03-08 Ye-Chao Liu , Jiangwei Shang , Rui Han , Xiangdong Zhang

We introduce a protocol to classify three-qubit pure states into different entanglement classes and implement it on an NMR quantum processor. The protocol is designed in such a way that the experiments performed to classify the states can…

量子物理 · 物理学 2024-11-07 Vaishali Gulati , Arvind , Kavita Dorai

Herein, we present a feasible, general protocol for quantum communication within a network via generalized remote preparation of an arbitrary $m$-qubit entangled state designed with genuine tripartite Greenberger--Horne--Zeilinger-type…

量子物理 · 物理学 2015-06-24 Dong Wang , Ross D. Hoehn , Liu Ye , Sabre Kais

Entanglement concentration from many copies of unknown pure states is discussed, and we propose the protocol which not only achieves entropy rate, but also produces the perfect maximally entangled state. Our protocol is induced naturally…

量子物理 · 物理学 2007-05-23 Masahito Hayashi , Keiji Matsumoto

We derive properties of general universal embezzling families for bipartite embezzlement protocols, where any pure state can be converted to any other without communication, but in the presence of the embezzling family. Using this…

量子物理 · 物理学 2014-10-29 Debbie Leung , Bingjie Wang

Sharing genuine multipartite entanglement by considering collective use of copies of biseparable states, which are entangled across all bipartitions but lack genuine multipartite entanglement at the single-copy level, plays a central role…

量子物理 · 物理学 2026-01-26 Swati Choudhary , Ujjwal Sen , Saronath Halder

We study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras. Given a shared entangled resource state, this task asks to produce arbitrary entangled states using local operations…

数学物理 · 物理学 2025-04-11 Lauritz van Luijk , Alexander Stottmeister , Reinhard F. Werner , Henrik Wilming

We discuss quantum key distribution protocols using quantum continuous variables. We show that such protocols can be made secure against individual gaussian attacks regardless the transmission of the optical line between Alice and Bob. This…

量子物理 · 物理学 2016-09-08 F. Grosshans , N. J. Cerf , J. Wenger , R. Tualle-Brouri , Ph. Grangier

We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the extension of Nielsen's Theorem, stating that the LOCC…

量子物理 · 物理学 2026-03-05 Lauritz van Luijk , Alexander Stottmeister , Reinhard F. Werner , Henrik Wilming

The concatenated Greenberger-Horne-Zeiglinger (C-GHZ) state which is a new type of logic-qubit entanglement has attracted a lot of attentions recently. We present a feasible entanglement concentration protocol (ECP) for logic-qubit…

量子物理 · 物理学 2016-02-09 Yu-Bo Sheng , Chang-Cheng Qu , Lan Zhou

We present a controlled secure direct communication protocol by using Greenberger-Horne-Zeilinger (GHZ) entangled state via swapping quantum entanglement and local unitary operations. Since messages transferred only by using local…

量子物理 · 物理学 2007-05-23 Yan Xia , Chang-Bao Fu , Feng-Yue Li , Shou Zhang , Kyu-Hwang Yeon , Chung-In Um

We show that all multi-partite pure states can, under local operations, be transformed into bi-partite pairwise entangled states in a "lossless fashion": An arbitrary distinguished party will keep pairwise entanglement with all other…

量子物理 · 物理学 2015-05-13 Dong Yang , Jens Eisert

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…

量子气体 · 物理学 2018-10-29 Daniel Jaschke , Lincoln D. Carr

We introduce an operator system, universal for the probabilistic models of a contextuality scenario, and identify its maximal C*-cover via the right C*-algebra of a canonical ternary ring of operators, arising from a hypergraph version of…

算子代数 · 数学 2025-09-19 Michalis Anoussis , Alexandros Chatzinikolaou , Ivan G. Todorov
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