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Related papers: Distilling GHZ States using Stabilizer Codes

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The distribution of high-quality Greenberger-Horne-Zeilinger (GHZ) states is at the heart of many quantum communication tasks, ranging from extending the baseline of telescopes to secret sharing. They also play an important role in…

Quantum Physics · Physics 2021-11-02 Sébastian de Bone , Runsheng Ouyang , Kenneth Goodenough , David Elkouss

Entanglement distillation, the process of converting weakly entangled states into maximally entangled ones using Local Operations and Classical Communication (LOCC), is pivotal for robust entanglement-assisted quantum information processing…

Quantum Physics · Physics 2025-12-17 Christopher Popp , Tobias C. Sutter , Beatrix C. Hiesmayr

We propose a scheme of multipartite entanglement distillation driven by a complementary pair of stabilizer measurements, to distill directly a wider range of states beyond the stabilizer code states (such as the Greenberger-Horne-Zeilinger…

Quantum Physics · Physics 2007-05-23 Akimasa Miyake , Hans J. Briegel

Entanglement is essential for quantum information processing, but is limited by noise. We address this by developing high-yield entanglement distillation protocols with several advancements. (1) We extend the 2-to-1 recurrence entanglement…

Quantum Physics · Physics 2025-03-11 Yu Shi , Ashlesha Patil , Saikat Guha

Greenberger-Horne-Zeilinger (GHZ) states play a central role in quantum computing and communication protocols, as a typical multipartite entanglement resource. This work introduces an efficient enumeration and simulation method for circuits…

Quantum Physics · Physics 2025-10-31 Mingyuan Wang , Guus Avis , Stefan Krastanov

We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph…

Quantum Physics · Physics 2008-04-03 Kai Chen , Hoi-Kwong Lo

High-fidelity entanglement shared between distant quantum systems is an essential resource for quantum communication and computation. Entanglement distillation addresses this need by converting multiple noisy Bell pairs into fewer…

Quantum Physics · Physics 2025-03-14 Shoham Jacoby , Rotem Arnon-Friedman , Serge Rosenblum

We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph…

Information Theory · Computer Science 2008-04-05 Kai Chen , Hoi-Kwong Lo

Motivated by the problem of designing quantum repeaters, we study entanglement distillation between two parties, Alice and Bob, starting from a mixed state and with the help of "repeater" stations. To treat the case of a single repeater, we…

Quantum Physics · Physics 2015-03-17 Nicolas Dutil , Patrick Hayden

Measurement-based quantum repeaters employ entanglement distillation and swapping across links using locally prepared resource states of minimal size and local Bell measurements. In this Letter, we introduce a systematic protocol for…

Quantum Physics · Physics 2025-09-30 Yu Shi , Ashlesha Patil , Saikat Guha

We consider a situation in which two parties, Alice and Bob, share a 3-qubit system coupled in an initial maximally entangled, GHZ state. By manipulating locally two of the qubits, Alice can prepare any one of the eight 3-qubit GHZ states.…

Quantum Physics · Physics 2007-05-23 Jose L. Cereceda

Bell-state measurement (BSM) on entangled states shared between quantum repeaters is the fundamental operation used to route entanglement in quantum networks. Performing BSMs on Werner states shared between repeaters leads to exponential…

Quantum Physics · Physics 2026-03-27 Ashlesha Patil , Michele Pacenti , Bane Vasić , Saikat Guha , Narayanan Rengaswamy

We develop an efficient local operation and classical communication (LOCC) scheme for the distillation of Greenberger-Horne-Zeilinger (GHZ) states from tripartite systems subjected to both coherent and incoherent errors. The proposed method…

Quantum Physics · Physics 2025-01-22 Áron Rozgonyi , Gábor Széchenyi , Orsolya Kálmán , Tamás Kiss

We show how to convert a quantum stabilizer code to a one-way or two-way entanglement distillation protocol. The proposed conversion method is a generalization of those of Shor-Preskill and Nielsen-Chuang. The recurrence protocol and the…

Quantum Physics · Physics 2007-05-23 Ryutaroh Matsumoto

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…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Ke Yang

The ability to entangle quantum systems is crucial for many applications in quantum technology, including quantum communication and quantum computing. Here, we propose a new, simple, and versatile setup for deterministically creating Bell…

Quantum Physics · Physics 2018-12-24 Vincenzo Macrì , Franco Nori , Anton Frisk Kockum

We introduce an entanglement distillation (purification) protocol for supersinglet states composed of N qubits. The supersinglet state we target is a total spin zero state with zero spin variance, and has a fully entangled structure…

Quantum Physics · Physics 2025-09-26 Saeed Ahmad , Shuang Li , Jonathan Raghoonanan , Kaixuan Zhou , Valentin Ivannikov , Tim Byrnes

We describe a protocol for quantum information splitting (QIS) of a restricted class of three-qubit states among three parties Alice, Bob and Charlie, using a pair of GHZ states as the quantum channel. There are two different forms of this…

Quantum Physics · Physics 2015-05-04 Kaushik Nandi , Goutam Paul

Entanglement distillation is the process of converting noisy entangled states into maximally entangled pure states via local operations and classical communication. A long-standing, unresolved question is which entangled states are amenable…

Quantum Physics · Physics 2026-04-28 Tobias C. Sutter , Christopher Popp , Beatrix C. Hiesmayr

Quantum technologies rely on high-quality resource states, such as maximally entangled or private states, which are indispensable for quantum communication and cryptography. In practice, however, these states are inevitably degraded by…

Quantum Physics · Physics 2026-03-05 Christopher Popp , Tobias C. Sutter , Beatrix C. Hiesmayr
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