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Related papers: Self-catalytic conversion of pure quantum states

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We show that inseparability of quantum states can be partially broadcasted (copied, cloned) with the help of local operations, i.e. distant parties sharing an entangled pair of spin 1/2 states can generate two pairs of partially nonlocally…

Quantum Physics · Physics 2009-10-30 V. Buzek , V. Vedral , M. B. Plenio , P. L. Knight , M. Hillery

Quantum teleportation is the process of transferring quantum information using classical communication and pre-shared entanglement. This process can benefit from the use of catalysts, which are ancillary entangled states that can enhance…

We study how well answer to the question ``Is the given quantum state equal to a certain maximally entangled state?'' using LOCC, in the context of hypothesis testing. Under several locality and invariance conditions, optimal tests will be…

Quantum Physics · Physics 2009-11-11 Masahito Hayashi , Keiji Matsumoto , Yoshiyuki Tsuda

Quantum theory features several phenomena which can be considered as resources for information processing tasks. Some of these effects, such as entanglement, arise in a nonlocal scenario, where a quantum state is distributed between…

Quantum Physics · Physics 2024-07-22 Martin Plávala , Otfried Gühne

Entanglement is a resource to overcome the natural restriction of operations used for state manipulation to Local Operations assisted by Classical Communication (LOCC). Hence, a bipartite maximally entangled state is a state which can be…

Quantum Physics · Physics 2016-05-20 C. Spee , J. I. de Vicente , B. Kraus

We study operator entanglement of the quantum chaotic evolutions. This study shows that properties of the operator entanglement production are qualitatively similar to the properties reported in literature about the pure state entanglement…

Quantum Physics · Physics 2007-05-23 Jayendra N. Bandyopadhyay , Arul Lakshminarayan

A powerful operational paradigm for distributed quantum information processing involves manipulating pre-shared entanglement by local operations and classical communication (LOCC). The LOCC round complexity of a given task describes how…

Quantum Physics · Physics 2023-09-13 Guangkuo Liu , Ian George , Eric Chitambar

Using an inductive approach to classify multipartite entangled states under stochastic local operations and classical communication introduced recently by the authors [Phys. Rev. A 74, 052336 (2006)], we give the complete classification of…

Quantum Physics · Physics 2007-05-23 L. Lamata , J. Leon , D. Salgado , E. Solano

We present a practical entanglement classification scheme for pure state in form of $2\times L\times M\times N$ under the stochastic local operation and classical communication (SLOCC), where every inequivalent class of the entangled…

Quantum Physics · Physics 2018-01-11 Liang-Liang Sun , Jun-Li Li , Cong-Feng Qiao

We prove that sufficiently many copies of a bipartite entangled pure state can always be transformed into some copies of another one with certainty by local quantum operations and classical communication. The efficiency of such a…

Quantum Physics · Physics 2007-05-23 Runyao Duan , Yuan Feng , Zhengfeng Ji , Mingsheng Ying

Characterizing the transformation and classification of multipartite entangled states is a basic problem in quantum information. We study the problem under two most common environments, local operations and classical communications (LOCC),…

Quantum Physics · Physics 2011-03-02 Lin Chen , Masahito Hayashi

We demonstrate that autocatalytic reactions, where a product catalyzes its own formation, can be significantly accelerated when the product molecules are indistinguishable from each other. This ``combinatorial enhancement," analogous to the…

Statistical Mechanics · Physics 2025-03-19 Nanako Hirano , Akira Yoshida , Takenobu Nakamura , Naoko Nakagawa

Local quantum operations relating multiqubit flip (0-1) and exchange symmetric (FES) states, with the maximum possible probability of success, have been determined by assuming that the states are converted via one-shot FES transformations.…

Quantum Physics · Physics 2011-11-15 G. Karpat , Z. Gedik

We provide a unifying framework for exact, probabilistic, and approximate conversions by local operations and classical communication (LOCC) between bipartite states. This framework allows us to formulate necessary and sufficient conditions…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Barbara M. Terhal , Armin Uhlmann

We give a conceptually simple necessary condition such that a separable quantum operation can be implemented by local operations on subsystems and classical communication between parties (LOCC), a condition which follows from a novel…

Quantum Physics · Physics 2014-08-07 Scott M. Cohen

Randomness is a defining element of mixing processes in nature and an essential ingredient to many protocols in quantum information. In this work, we investigate how much randomness is required to transform a given quantum state into…

Quantum Physics · Physics 2019-02-07 P. Boes , H. Wilming , R. Gallego , J. Eisert

Determining whether a given state can be transformed into a target state using free operations is one of the fundamental questions in the study of resources theories. Free operations in resource theories can be enhanced by allowing for a…

Quantum Physics · Physics 2022-10-05 Roberto Rubboli , Marco Tomamichel

Entanglement is among the most fundamental-and at the same time puzzling-properties of quantum physics. Its modern description relies on a resource-theoretical approach, which treats entangled systems as a means to enable or accelerate…

Quantum Physics · Physics 2024-05-24 Serge Deside , Matthieu Arnhem , Célia Griffet , Nicolas J. Cerf

Autocatalysis is a deceptively simple concept, referring to the situation that a chemical species $X$ catalyzes its own formation. From the perspective of chemical kinetics, autocatalysts show a regime of super-linear growth. Given a…

Molecular Networks · Quantitative Biology 2021-07-08 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the…

Quantum Physics · Physics 2016-01-06 D. Sauerwein , K. Schwaiger , M. Cuquet , J. I. de Vicente , B. Kraus