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We introduce a construction for entanglement-assisted quantum error-correcting codes (EAQECCs) that saturates the classical Singleton bound with less shared entanglement than any known method for code rates below $ \frac{k}{n} = \frac{1}{3}…

量子物理 · 物理学 2024-10-15 Soham Ghosh , Evagoras Stylianou , Holger Boche

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

Recent constructions of quantum low-density parity-check (QLDPC) codes provide optimal scaling of the number of logical qubits and the minimum distance in terms of the code length, thereby opening the door to fault-tolerant quantum systems…

量子物理 · 物理学 2024-01-24 Narayanan Rengaswamy , Nithin Raveendran , Ankur Raina , Bane Vasić

An entanglement purification protocol (EPP) aims to transform multiple noisy entangled states into a single entangled state with higher fidelity. In this work we consider EPPs that always yield an output fidelity no worse than each of the…

量子物理 · 物理学 2025-07-14 Allen Zang , Xinan Chen , Eric Chitambar , Martin Suchara , Tian Zhong

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

While the concept of entanglement purification protocols (EPPs) is straightforward, the integration of EPPs in network architectures requires careful performance evaluations and optimizations that take into account realistic conditions and…

量子物理 · 物理学 2025-07-14 Allen Zang , Xin-An Chen , Eric Chitambar , Martin Suchara , Tian Zhong

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

We generalize previously proposed conditions each measure of entanglement has to satisfy. We present a class of entanglement measures that satisfy these conditions and show that the Quantum Relative Entropy and Bures Metric generate two…

量子物理 · 物理学 2011-07-19 V. Vedral , M. B. Plenio

If entanglement is available, the error-correcting ability of quantum codes can be increased. We show how to optimize the minimum distance of an entanglement-assisted quantum error-correcting (EAQEC) code, obtained by adding ebits to a…

量子物理 · 物理学 2013-07-23 Ching-Yi Lai , Todd Brun

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

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

We present a family of entanglement purification protocols that generalize four previous methods, namely the recurrence method, the modified recurrence method, and the two methods proposed by Maneva-Smolin and Leung-Shor. We will show that…

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

Entanglement distillation, a fundamental building block of quantum networks, enables the purification of noisy entangled states shared among distant nodes by local operations and classical communication. Its practical realization presents…

量子物理 · 物理学 2026-05-27 Jaemin Kim , Karthik Mohan , Sung Won Yun , Joonwoo Bae

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

Quantum Entanglement is a fundamentally important resource in Quantum Information Science; however, generating it in practice is plagued by noise and decoherence, limiting its utility. Entanglement distillation and forward error correction…

量子物理 · 物理学 2023-07-14 Vaishnavi L. Addala , Shu Ge , Stefan Krastanov

We present a simple proof of the approximate Eastin-Knill theorem, which connects the quality of a quantum error-correcting code (QECC) with its ability to achieve a universal set of transversal logical gates. Our derivation employs…

量子物理 · 物理学 2021-04-21 Aleksander Kubica , Rafal Demkowicz-Dobrzanski

Recently emerged as a disruptive networking paradigm, quantum networks rely on the mysterious quantum entanglement to teleport qubits without physically transferring quantum particles. However, the state of quantum systems is extremely…

量子物理 · 物理学 2024-08-23 Ziyue Jia , Lin Chen

So far all the proven unconditionally secure prepare and measure protocols for the quantum key distribution(QKD) must solve the very complex problem of decoding the classical CSS code. In the decoding stage, Bob has to compare his string…

量子物理 · 物理学 2007-05-23 Wang Xiang-bin

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

The entanglement of purification (EoP), which measures the classical correlations and entanglement of a given mixed state, has been conjectured to be dual to the area of the minimal cross section of the entanglement wedge in holography.…

高能物理 - 理论 · 物理学 2019-09-04 Dong-Hui Du , Chong-Bin Chen , Fu-Wen Shu