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Related papers: When Catalysis is Useful for Probabilistic Entangl…

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We show that in some cases, catalyst-assisted entanglement transformation cannot be implemented by multiple-copy transformation for pure states. This fact, together with the result we obtained in [R. Y. Duan, Y. Feng, X. Li, and M. S. Ying,…

Quantum Physics · Physics 2009-11-10 Yuan Feng , Runyao Duan , Mingsheng Ying

The majorization relation has found numerous applications in mathematics, quantum information and resource theory, and quantum thermodynamics, where it describes the allowable transitions between two physical states. In many cases, when…

Quantum Physics · Physics 2025-03-03 David Elkouss , Ananda G. Maity , Aditya Nema , Sergii Strelchuk

We introduce the general catalysts for pure entanglement transformations under local operations and classical communications in such a way that we disregard the profit and loss of entanglement of the catalysts per se. As such, the…

Quantum Physics · Physics 2015-06-26 Wei Song , Yan Huang , Nai-Le Liu , Zeng-Bing Chen

Suppose Alice and Bob try to transform an entangled state shared between them into another one by local operations and classical communications. Then in general a certain amount of entanglement contained in the initial state will decrease…

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

We consider entanglement-assisted remote quantum state manipulation of bi-partite mixed states. Several aspects are addressed: we present a class of mixed states of rank two that can be transformed into another class of mixed states under…

Quantum Physics · Physics 2009-10-31 J. Eisert , M. Wilkens

In this paper we summarize the necessary condition for incomparable states which can be catalyzed under entanglement-assisted LQCC (ELQCC). When we apply an extended condition for entanglement transformation to entanglement-assisted local…

Quantum Physics · Physics 2009-11-06 ZhengWei Zhou , GuangCan Guo

Given the key role that quantum tunneling plays in a wide range of applications, a crucial objective is to maximize the probability of tunneling from one quantum state/level to another, while keeping the resources of the underlying physical…

Quantum probabilities are defined for several important physical cases characterizing measurements with multimode quantum systems. These are the probabilities for operationally testable measurements, for operationally uncertain…

Quantum Physics · Physics 2015-06-19 V. I. Yukalov , E. P. Yukalova , D. Sornette

Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the same time, they do not change their quantum state. We here…

Quantum Physics · Physics 2023-11-08 Lauritz van Luijk , Reinhard F. Werner , Henrik Wilming

I consider the use of entanglement between two parties to enable one to authenticate her identity to another over a quantum communication channel. Exploiting the phenomenon of entanglement-catalyzed transformations between pure states gives…

Quantum Physics · Physics 2007-05-23 Howard N. Barnum

We investigate the basic constraint on amplifying the asymmetry in quantum states with correlated catalysts. Here a correlated catalyst is a finite-dimensional auxiliary, which exactly preserves its reduced state while allowed to become…

Quantum Physics · Physics 2021-02-11 Feng Ding , Xueyuan Hu , Heng Fan

Quantum resource manipulation may include an ancillary state called a catalyst, which aids the transformation while restoring its original form at the end, and characterizing the enhancement enabled by catalysts is essential to reveal the…

Quantum Physics · Physics 2022-06-15 Ryuji Takagi , Naoto Shiraishi

A catalyst is a substance that enables otherwise impossible transformations between states of a system, without being consumed in the process. In this work, we apply the notion of catalysts to many-body quantum physics. In particular, we…

Quantum Physics · Physics 2025-06-19 David T. Stephen , Rahul Nandkishore , Jian-Hao Zhang

Quantum thermodynamics is a research field that aims at fleshing out the ultimate limits of thermodynamic processes in the deep quantum regime. A complete picture of quantum thermodynamics allows for catalysts, i.e., systems facilitating…

Quantum Physics · Physics 2015-09-02 Nelly Huei Ying Ng , Laura Mančinska , Cristina Cirstoiu , Jens Eisert , Stephanie Wehner

The primary goal of entanglement theory is to determine convertibility conditions for two quantum states. Up until now, this has always been done with the use of entanglement monotones. With the exception of the negativity, such quantities…

Quantum Physics · Physics 2016-01-14 Mark W. Girard , Gilad Gour

The degree of entanglement is determined for an arbitrary state of a broad class of PT-symmetric bipartite composite systems. Subsequently we quantify the rate with which entangled states are generated and show that this rate can be…

High Energy Physics - Theory · Physics 2013-05-23 Christian Zielinski , Qing-hai Wang

Optimizing the probability of quantum tunneling between two states, while keeping the resources of the underlying physical system constant, is a task of key importance due to its critical role in various applications. We show that, by…

Entanglement is a fundamental resource in quantum information processing, yet understanding its manipulation and transformation remains a challenge. Many tasks rely on highly entangled pure states, but obtaining such states is often…

Quantum Physics · Physics 2024-12-24 Ray Ganardi , Tulja Varun Kondra , Alexander Streltsov

We analyze the existence of activable bound entangled states in multi-particle systems. We first give a series of examples which illustrate some different ways in which bound entangled states can be activated by letting some of the parties…

Quantum Physics · Physics 2009-11-06 W. Dür , J. I. Cirac

Given two pairs of quantum states, a fundamental question in the resource theory of asymmetric distinguishability is to determine whether there exists a quantum channel converting one pair to the other. In this work, we reframe this…

Quantum Physics · Physics 2020-09-30 Soorya Rethinasamy , Mark M. Wilde