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Quantitative characterization of two-qubit entanglement purification protocols is introduced. Our approach is based on the concurrence and the hit-and-run algorithm applied to the convex set of all two-qubit states. We demonstrate that…

量子物理 · 物理学 2024-09-04 Francesco Preti , József Zsolt Bernád

Entanglement between distant quantum systems is a critical resource for implementing quantum communication. This property is affected by external agents and can be restored by employing efficient entanglement purification protocols. In this…

量子物理 · 物理学 2024-09-05 Juan Mauricio Torres , József Zsolt Bernád , Rocío Gómez-Rosas

We consider entanglement purification protocols for multiple copies of qubit states. We use high-dimensional auxiliary entangled systems to learn about number and positions of errors in the noisy ensemble in an explicit and controlled way,…

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

We propose and investigate a method to optimize recurrence entanglement purification protocols. The approach is based on a numerical search in the whole set of SU(4) matrices with the aid of a quasi-Newton algorithm. Our method evaluates…

量子物理 · 物理学 2024-04-17 Francesco Preti , Tommaso Calarco , Juan Mauricio Torres , József Zsolt Bernád

Entanglement purification is essential for quantum technologies; yet, rigorous bounds on the success probability for universal protocols -- those requiring no prior knowledge about the input state -- have remained underexplored. We…

量子物理 · 物理学 2025-09-12 Alexandre C. Orthey , Aby Philip , Tulja Varun Kondra , Alexander Streltsov

We present an entanglement purification protocol for a mixture of a pure entangled state and a pure product state, which are orthogonal to each other. The protocol is combination of bisection method and one-way hashing protocol. We give…

量子物理 · 物理学 2009-08-06 Mikolaj Czechlewski , Andrzej Grudka , Satoshi Ishizaka , Antoni Wojcik

We propose schemes for entanglement concentration and purification for qubit systems encoded in flying atomic pairs. We use a cavity-quantum electrodynamics setting as the paradigmatic scenario within which our proposals can be implemented.…

量子物理 · 物理学 2009-11-13 C. D. Ogden , M. Paternostro , M. S. Kim

We find the necessary and sufficient condition under which two two-qubit mixed states can be purified into a pure maximally entangled state by local operations and classical communication. The optimal protocol for such transformation is…

量子物理 · 物理学 2007-05-23 Enric Jane

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 investigate efficient entanglement purification through double selection process. This method works with higher noise thresholds for the communication channels and local operations, and achieves higher fidelity of purified states.…

量子物理 · 物理学 2015-05-13 Keisuke Fujii , Katsuji Yamamoto

Bipartite entanglement purification is the conversion of copies of weakly entangled pairs shared between two separated parties into a smaller number of strongly entangled shared pairs using only local operations and classical communication.…

量子物理 · 物理学 2025-11-14 Matthew Barber , Stefano Pirandola

In this paper, we propose a novel bipartite entanglement purification protocol built upon hashing and upon the guessing random additive noise decoding (GRAND) approach recently devised for classical error correction codes. Our protocol…

量子物理 · 物理学 2024-09-25 André Roque , Diogo Cruz , Francisco A. Monteiro , Bruno C. Coutinho

Quantum communication enables secure information transmission and entanglement distribution, but these tasks are fundamentally limited by the capacities of quantum channels. While quantum repeaters can mitigate losses and noise,…

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 entanglement resource required for quantum information processing comes in a variety of forms, from Bell states to multipartite GHZ states or cluster states. Purifying these resources after their imperfect generation is an indispensable…

量子物理 · 物理学 2021-09-09 Stefan Krastanov , Alexander Sanchez de la Cerda , Prineha Narang

Quantum networks crucially rely on the availability of high-quality entangled pairs of qubits, known as entangled links, distributed across distant nodes. Maintaining the quality of these links is a challenging task due to the presence of…

量子物理 · 物理学 2024-09-04 Bethany Davies , Álvaro G. Iñesta , Stephanie Wehner

Entanglement purification allows the creation of qubit pairs of arbitrarily high fidelity with respect to a maximally entangled state, starting from a larger number of low-fidelity pairs. Purification requires quantum memory, a role for…

量子物理 · 物理学 2016-01-20 Adrian Auer , Guido Burkard

We study the problem of general entanglement purification protocols. Suppose Alice and Bob share a bipartite state $\rho$ which is ``reasonably close'' to perfect EPR pairs. The only information Alice and Bob possess is a lower bound on the…

量子物理 · 物理学 2007-05-23 Andris Ambainis , Ke Yang

Two qubits in pure entangled states going through separate paths and interacting with their own individual environments will gradually lose their entanglement. Here we show that the entanglement change of a two-qubit state due to amplitude…

量子物理 · 物理学 2014-01-23 Wei Song , Ming Yang , Zhuo-Liang Cao

Entanglement purification describes a primitive in quantum information processing, where several copies of noisy quantum states are distilled into few copies of nearly-pure states of high quality via local operations and classical…

量子物理 · 物理学 2024-02-02 Lina Vandré , Otfried Gühne
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