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We present an approach to characterize genuine multiparticle entanglement using appropriate approximations in the space of quantum states. This leads to a criterion for entanglement which can easily be calculated using semidefinite…

量子物理 · 物理学 2011-05-13 Bastian Jungnitsch , Tobias Moroder , Otfried Gühne

We present a method to derive separability criteria for the different classes of multiparticle entanglement, especially genuine multiparticle entanglement. The resulting criteria are necessary and sufficient for certain families of states.…

量子物理 · 物理学 2010-05-07 Otfried Gühne , Michael Seevinck

Locally maximally entangleable states (LMESs) constitute a large set of multipartite states, containing for instance all stabilizer states. LMESs are uniquely characterized by (2n-1) phases, where n denotes the number of qubits. We consider…

量子物理 · 物理学 2013-04-18 Tatjana Carle , Barbara Kraus , Wolfgang Dür , Julio I. de Vicente

Entanglement purification is to distill high-quality entangled states from low-quality entangled states. It is a key step in quantum repeaters, determines the efficiency and communication rates of quantum communication protocols, and is…

量子物理 · 物理学 2022-03-21 Cen-Xiao Huang , Xiao-Min Hu1 , Bi-Heng Liu , Lan Zhou , Yu-Bo Sheng , Chuan-Feng Li , Guang-Can Guo

The efficient generation of high-fidelity entangled states is the key element for long-distance quantum communication, quantum computation and other quantum technologies, and at the same time the most resource-consuming part in many…

量子物理 · 物理学 2021-07-28 Ferran Riera Sàbat , Pavel Sekatski , Alexander Pirker , Wolfgang Dür

It is well known that any entangled mixed state in $2\otimes 2$ systems can be purified via infinite copies of the mixed state. But can one distill a pure maximally entangled state from finite copies of a mixed state in any bipartite system…

量子物理 · 物理学 2009-11-07 Ping-Xing Chen , Lin-Mei Liang , Cheng-Zu Li , Ming-Qiu Huang

We present an improved protocol for entanglement purification of bipartite mixed states. The protocol requires two-way classical communication and hence implies an improved lower bound on the quantum capacity with two-way classical…

量子物理 · 物理学 2007-05-23 Alan W. Leung , Peter W. Shor

Photonic GHZ states serve as the central resource for a number of important applications in quantum information science, including secret sharing, sensing, and fusion-based quantum computing. The use of photon-emitter entangling gates is a…

量子物理 · 物理学 2025-10-02 Rafail Frantzeskakis , Chenxu Liu , Zahra Raissi , Edwin Barnes , Sophia E. Economou

We theoretically study bipartite entanglement purification with neutral atoms via cavity-assistant interaction and linear optical elements. We focus on entanglement distillation and the recurrence protocol, whose performances under…

量子物理 · 物理学 2011-01-14 P. Xue , X. -F. Zhou

We introduce the distribution of a secret multipartite entangled state in a real-world scenario as a quantum primitive. We show that in the presence of noisy quantum channels (and noisy control operations) any state chosen from the set of…

量子物理 · 物理学 2009-11-10 W. Dür , J. Calsamiglia , H. -J. Briegel

Graph states form a rich class of entangled states that exhibit important aspects of multi-partite entanglement. At the same time, they can be described by a number of parameters that grows only moderately with the system size. They have a…

量子物理 · 物理学 2007-05-23 M. Hein , W. Dür , J. Eisert , R. Raussendorf , M. Van den Nest , H. -J. Briegel

We show that pure states of multipartite quantum systems are multiseparable (i.e. give separable density matrices on tracing any party) if and only if they have a generalized Schmidt decomposition. Implications of this result for the…

量子物理 · 物理学 2009-10-31 Ashish V. Thapliyal

Graph states and hypergraph states are of wide interest in quantum information processing and foundational studies. Efficient verification of these states is a key to various applications. Here we propose a simple method for verifying…

量子物理 · 物理学 2020-01-30 Huangjun Zhu , Masahito Hayashi

The characterization of genuine multiparticle entanglement is important for entanglement theory as well as experimental studies related to quantum information theory. Here, we completely characterize genuine multiparticle entanglement for…

量子物理 · 物理学 2011-11-28 Otfried Gühne , Bastian Jungnitsch , Tobias Moroder , Yaakov S. Weinstein

We investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities…

量子物理 · 物理学 2019-02-22 Stefan Krastanov , Victor V. Albert , Liang Jiang

We propose a scheme for optimal Gaussian purification of coherent states from several imperfect copies. The proposal is experimentally demonstrated for the case of two copies of a coherent state sent through independent noisy channels. Our…

量子物理 · 物理学 2009-11-11 Ulrik L. Andersen , Radim Filip , Jaromir Fiurasek , Vincent Josse , Gerd Leuchs

We present a nonlocal entanglement concentration scheme for reconstructing some maximally entangled multipartite states from partially entangled ones by exploiting cross-Kerr nonlinearities to distinguish the parity of two polarization…

量子物理 · 物理学 2009-11-13 Yu-Bo Sheng , Fu-Guo Deng , Hong-Yu Zhou

Systems of four nonbinary particles, each having three or more internal states, exhibit maximally entangled states that are inaccessible to four qubits. This breaks the pattern of two- and three-particle systems, in which the existing graph…

量子物理 · 物理学 2015-06-23 Mario Gaeta , Andrei Klimov , Jay Lawrence

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…

Multipartite entanglement has a much more complex structure than bipartite entanglement. A state that lacks generic multipartite entanglement is 2-producible, i.e. it can be written as a tensor product of at most 2-partite entangled states.…

量子物理 · 物理学 2026-04-09 Tian-Ren Jin , Yu-Ran Zhang , Heng Fan