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Distillation protocols enable generation of high quality entanglement even in the presence of noise. Existing protocols ignore the presence of local information in mixed states produced from some noise sources such as photon loss, amplitude…

Quantum Physics · Physics 2010-07-12 Earl T. Campbell

Quantum resource distillation is a fundamental task in quantum information science and technology. Minimizing the overhead of distillation is crucial for the realization of quantum computation and other technologies. Here we explicitly…

Quantum Physics · Physics 2025-10-15 Kun Fang , Zi-Wen Liu

A fundamental problem in resource theory is to study the manipulation of the resource. Focusing on a general dynamical resource theory of quantum channels, here we consider tasks of one-shot resource distillation and dilution with a single…

Quantum Physics · Physics 2020-12-07 Xiao Yuan , Pei Zeng , Minbo Gao , Qi Zhao

Continuous-variable systems realized in quantum optics play a major role in quantum information processing, and it is also one of the promising candidates for a scalable quantum computer. We introduce a resource theory for…

Quantum Physics · Physics 2018-07-04 Ryuji Takagi , Quntao Zhuang

We consider the explicit construction of resource states for measurement-based quantum information processing. We concentrate on special-purpose resource states that are capable to perform a certain operation or task, where we consider…

Quantum Physics · Physics 2017-07-07 Alexander Pirker , Julius Wallnöfer , Hans J. Briegel , Wolfgang Dür

We develop the general framework of virtual resource distillation -- an alternative distillation strategy proposed in [Phys. Rev. Lett. 132, 050203 (2024)], which extends conventional quantum resource distillation by integrating the power…

Quantum Physics · Physics 2024-04-23 Ryuji Takagi , Xiao Yuan , Bartosz Regula , Mile Gu

Quantum network states are multipartite states built from distributing pairwise entanglement among parties and underpin the paradigm of quantum networks for quantum information processing. In this work we introduce the problem of partial…

Quantum Physics · Physics 2025-09-30 Aitor Balmaseda , Julio I. de Vicente

The resource theory of quantum coherence is an important topic in quantum information science. Standard coherence distillation and dilution problems have been thoroughly studied. In this paper, we introduce and study the problem of one-shot…

Quantum Physics · Physics 2019-10-23 Senrui Chen , Xingjian Zhang , You Zhou , Qi Zhao

The precise quantification of the ultimate efficiency in manipulating quantum resources lies at the core of quantum information theory. However, purely information-theoretic measures fail to capture the actual computational complexity…

Quantum Physics · Physics 2025-11-19 Lorenzo Leone , Jacopo Rizzo , Jens Eisert , Sofiene Jerbi

Quantum coherence -- an indispensable resource for quantum technologies -- is known to be distillable from a noisy form using operations that cannot create it. However, distillation exacts a hidden coherent measurement cost, which has not…

Quantum Physics · Physics 2025-04-16 Varun Narasimhachar

Magic state distillation is a crucial component in the leading approaches to implementing universal fault tolerant quantum computation, with existing protocols for both qubit and higher dimensional systems. Early work focused on determining…

Quantum Physics · Physics 2016-03-25 Hillary Dawkins , Mark Howard

We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Namely, we introduce the two basic concepts - "coherence distillation" and "coherence…

Quantum Physics · Physics 2016-03-25 Andreas Winter , Dong Yang

Quantum resource theories have been widely studied to systematically characterize the non-classicality of quantum systems. Most resource theories focus on quantum states and study their interconversions. Although quantum channels are…

Quantum Physics · Physics 2020-02-19 Yunchao Liu , Xiao Yuan

The distribution and processing of quantum entanglement form the basis of quantum communication and quantum computing. The realization of the two is difficult because quantum information inherently has a high susceptibility to decoherence,…

Quantum Physics · Physics 2012-08-30 Boris Hage , Aiko Samblowski , James DiGuglielmo , Jaromír Fiurášek , Roman Schnabel

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…

Quantum Physics · Physics 2013-05-30 Earl T. Campbell , Jens Eisert

Entanglement distillation is a procedure for extracting from one or more pairs of entangled qubits a smaller number of pairs with a higher degree of entanglement that is essential for many applications in quantum information science.…

Quantum Physics · Physics 2008-08-26 Taehyun Kim , Franco N. C. Wong

We study the task of entanglement distillation in the one-shot setting under different classes of quantum operations which extend the set of local operations and classical communication (LOCC). Establishing a general formalism which allows…

Quantum Physics · Physics 2019-10-15 Bartosz Regula , Kun Fang , Xin Wang , Mile Gu

The traditional perspective in quantum resource theories concerns how to use free operations to convert one resourceful quantum state to another one. For example, a fundamental and well known question in entanglement theory is to determine…

Quantum Physics · Physics 2019-07-10 Stefan Bäuml , Siddhartha Das , Xin Wang , Mark M. Wilde

Quantum distillation is the task of concentrating quantum correlations present in 'N' imperfect copies using free operations by involving all 'P' parties sharing the quantum correlations. We present a threshold quantum distillation task…

Quantum Physics · Physics 2026-02-16 Shashank Gupta , William John Munro , Carlos Cid

Quantum information theory is a multidisciplinary field whose objective is to understand what happens when information is stored in the state of a quantum system. Quantum mechanics provides us with a new resource, called quantum…

Quantum Physics · Physics 2011-05-25 Nicolas Dutil