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We present a classification theorem for amenable simple stably projectionless C*-algebras with generalized tracial rank one whose $K_0$ vanish on traces which satisfy the Universal Coefficient Theorem. One of them is denoted by ${\cal Z}_0$…

算子代数 · 数学 2020-04-24 Guihua Gong , Huaxin Lin

We show that, if A is a separable simple unital C*-algebra which absorbs the Jiang-Su algebra Z tensorially and which has real rank zero and finite decomposition rank, then A is tracially AF in the sense of Lin, without any restriction on…

算子代数 · 数学 2007-05-23 Wilhelm Winter

Distillation of entanglement using only Gaussian operations is an important primitive in quantum communication, quantum repeater architectures, and distributed quantum computing. Existing distillation protocols for continuous degrees of…

量子物理 · 物理学 2013-05-30 Earl T. Campbell , Jens Eisert

Genuinely entangled subspaces (GESs) are those subspaces of multipartite Hilbert spaces that consist only of genuinely multiparty entangled pure states. They are natural generalizations of the well-known notion of completely entangled…

量子物理 · 物理学 2019-12-17 Maciej Demianowicz , Remigiusz Augusiak

We present an universal way to concentrate an arbitrary $N$-particle less-entangled $W$ state into a maximally entangled $W$ state with different parity check gates. It comprises two protocols. The first protocol is based on the linear…

量子物理 · 物理学 2012-04-09 Yu-Bo Sheng , Lan Zhou , Yu-Wei Sheng , Sheng-Mei Zhao

We propose a general method for introducing extensive characteristics of quantum entanglement. The method relies on polynomials of nilpotent raising operators that create entangled states acting on a reference vacuum state. By introducing…

量子物理 · 物理学 2008-11-26 A. Mandilara , V. M. Akulin , A. V. Smilga , L. Viola

We present one-shot compression protocols that optimally encode ensembles of $N$ identically prepared mixed states into $O(\log N)$ qubits. In contrast to the case of pure-state ensembles, we find that the number of encoding qubits drops…

量子物理 · 物理学 2016-03-02 Yuxiang Yang , Giulio Chiribella , Daniel Ebler

Open quantum systems evolving according to discrete-time dynamics are capable, unlike continuous-time counterparts, to converge to a stable equilibrium in finite time with zero error. We consider dissipative quantum circuits consisting of…

量子物理 · 物理学 2017-07-11 Peter D. Johnson , Francesco Ticozzi , Lorenza Viola

Ideal quantum teleportation transfers an unknown quantum state intact from one party Alice to the other Bob via the use of a maximally entangled state and the communication of classical information. If Alice and Bob do not share…

量子物理 · 物理学 2021-04-16 Jyun-Yi Li , Xiao-Xu Fang , Ting Zhang , Gelo Noel M. Tabia , He Lu , Yeong-Cherng Liang

Quite recently, Cai et al. [arXiv:2006.07165v1] proposed a new concept "absolutely entangled set" for bipartite quantum systems: for any possible choice of global basis, at least one state of the set is entangled. There they presented a…

量子物理 · 物理学 2020-11-11 Mao-Sheng Li , Man-Hong Yung

A deterministic direct quantum communication protocol by using swapping quantum entanglement and local unitary operations is proposed in this paper. A set of ordered EPR pairs in one of the four Bell states is used. For each pair, each of…

量子物理 · 物理学 2007-05-23 Z. J. Zhang , Z. X. Man

Generating entanglement between more parties is one of the central tasks and challenges in the backdrop of building quantum technologies. Here we propose a measurement-based protocol for producing multipartite entangled states which can be…

量子物理 · 物理学 2021-12-24 Pritam Halder , Shiladitya Mal , Aditi Sen De

Strong symmetries enforce non-trivial quantum entanglement patterns on the stationary states of symmetric open quantum dynamics. Specifically, non-commuting conserved quantities lead to long-range quantum entanglement even for infinite…

量子物理 · 物理学 2025-06-06 Subhayan Sahu , Yahui Li , Pablo Sala

We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to…

量子物理 · 物理学 2012-07-03 Florentin Reiter , Anders S. Sørensen

We show that if A is a separable, nuclear, O_infty-absorbing (or strongly purely infinite) C*-algebra, which is homotopic to zero in an ideal-system preserving way, then A is the inductive limit of C*-algebras of the form M_k(C_0(G,v)),…

算子代数 · 数学 2010-11-24 Eberhard Kirchberg , Mikael Rordam

We investigate multiparticle entanglement purification schemes which allow one to purify all two colorable graph states, a class of states which includes e.g. cluster states, GHZ states and codewords of various error correction codes. The…

量子物理 · 物理学 2016-08-16 H. Aschauer , W. Dür , H. -J. Briegel

We push the limits of the direct use of partially pure entangled states to perform quantum teleportation by presenting several protocols in many different scenarios that achieve the optimal efficiency possible. We review and put in a single…

量子物理 · 物理学 2013-07-11 Raphael Fortes , Gustavo Rigolin

We present a model of quantum teleportation protocol based on a double quantum dot array. The unknown qubit is encoded using a pair of quantum dots, coupled by tunneling, with one excess electron. It is shown how to create maximally…

量子物理 · 物理学 2007-06-28 F. de Pasquale , G. Giorgi , S. Paganelli

Establishing a fully functional quantum internet relies on the efficient allocation of multipartite entangled states, which enables advanced quantum communication protocols, secure multipartite quantum key distribution, and distributed…

量子物理 · 物理学 2024-09-26 Yu-Ao Chen , Xia Liu , Chenghong Zhu , Lei Zhang , Junyu Liu , Xin Wang

The purpose of this paper is two-fold: firstly, we give a characterization on the level of non-unital operator systems for when the zero map is a boundary representation. As a consequence, we show that a non-unital operator system arising…

算子代数 · 数学 2024-08-13 Se-Jin Kim
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