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We present bounds for distilling many copies of a pure state from an arbitrary initial state in a general quantum resource theory. Our bounds apply to operations that are able to generate no more than a $\delta$ amount of resource, where…

量子物理 · 物理学 2020-11-11 Madhav Krishnan Vijayan , Eric Chitambar , Min-Hsiu Hsieh

The performance of quantum resource manipulation protocols, including key examples such as distillation of quantum entanglement, is measured in terms of the rate at which desired target states can be produced from a given noisy state.…

量子物理 · 物理学 2026-05-15 Ludovico Lami , Bartosz Regula , Ryuji Takagi

Quantum coherence and quantum entanglement represent two fundamental features of non-classical systems that can each be characterized within an operational resource theory. In this paper, we unify the resource theories of entanglement and…

量子物理 · 物理学 2016-07-13 Eric Chitambar , Min-Hsiu Hsieh

The manipulation of quantum "resources" such as entanglement, coherence and magic states lies at the heart of quantum science and technology, empowering potential advantages over classical methods. In practice, a particularly important kind…

量子物理 · 物理学 2020-08-07 Kun Fang , Zi-Wen Liu

Resource theories in quantum information science are helpful for the study and quantification of the performance of information-processing tasks that involve quantum systems. These resource theories also find applications in other areas of…

量子物理 · 物理学 2021-08-09 Eneet Kaur , Siddhartha Das , Mark M. Wilde , Andreas Winter

Among the most fundamental questions in the manipulation of quantum resources such as entanglement is the possibility of reversibly transforming all resource states. The key consequence of this would be the identification of a unique…

量子物理 · 物理学 2024-04-18 Bartosz Regula , Ludovico Lami

We look into multipartite quantum states on which quantum cryptographic protocols including quantum key distribution and quantum secret sharing can be perfectly performed, and define the quantum cryptographic resource distillable rate as…

量子物理 · 物理学 2021-10-27 Minjin Choi , Soojoon Lee

Distillation, or purification, is central to the practical use of quantum resources in noisy settings often encountered in quantum communication and computation. Conventionally, distillation requires using some restricted 'free' operations…

量子物理 · 物理学 2024-04-29 Xiao Yuan , Bartosz Regula , Ryuji Takagi , Mile Gu

It has been recently shown that there exist universal fundamental limits to the accuracy and efficiency of the transformation from noisy resource states to pure ones (e.g.,~distillation) in any well-behaved quantum resource theory…

量子物理 · 物理学 2022-03-14 Kun Fang , Zi-Wen Liu

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…

量子物理 · 物理学 2016-03-25 Andreas Winter , Dong Yang

A fundamental problem in quantum information is to understand the operational significance of quantum resources. Quantum resource theories (QRTs) provide a powerful theoretical framework that aids in analyzing and comprehending the…

量子物理 · 物理学 2025-05-21 Yu Luo

Quantum coherence is an essential feature of quantum mechanics and is an important physical resource in quantum information. Recently, the resource theory of quantum coherence has been established parallel with that of entanglement. In the…

量子物理 · 物理学 2018-01-17 Si-ren Yang , Chang-shui Yu

We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task. A main result is that the maximum success probability of distinguishing a…

量子物理 · 物理学 2020-03-04 Lu Li , Kaifeng Bu , Zi-Wen Liu

We show that the dynamic resource theory of quantum entanglement can be formulated using the superchannel theory. In this formulation, we identify the separable channels and the class of free superchannels that preserve channel separability…

量子物理 · 物理学 2021-07-23 Ho-Joon Kim , Soojoon Lee , Ludovico Lami , Martin B. Plenio

The difficulty in manipulating quantum resources deterministically often necessitates the use of probabilistic protocols, but the characterization of their capabilities and limitations has been lacking. We develop a general approach to this…

量子物理 · 物理学 2022-03-22 Bartosz Regula

In this paper, we develop the resource theory of quantum secret key. Operating under the assumption that entangled states with zero distillable key do not exist, we define the key cost of a quantum state, and device. We study its properties…

量子物理 · 物理学 2026-05-06 Karol Horodecki , Leonard Sikorski , Siddhartha Das , Mark M. Wilde

We study entanglement distillation and dilution of states and channels in the single-shot regime. With the help of a recently introduced conversion distance, we provide compact closed-form expressions for the dilution and distillation of…

量子物理 · 物理学 2023-12-29 Thomas Theurer , Kun Fang , Gilad Gour

We characterize the operational task of environment-assisted distillation of quantum coherence under different sets of free operations when only a finite supply of copies of a given state is available. We first evaluate the one-shot…

量子物理 · 物理学 2018-11-26 Bartosz Regula , Ludovico Lami , Alexander Streltsov

Quantum Internet relies on quantum entanglement as a fundamental resource for secure and efficient quantum communication, reshaping data transmission. In this context, entanglement distillation emerges as a crucial process that plays a…

量子物理 · 物理学 2024-07-30 Chengkai Zhu , Chenghong Zhu , Xin Wang

Secret-key distillation from quantum states and channels is a central task of interest in quantum information theory, as it facilitates private communication over a quantum network. Here, we study the task of secret-key distillation from…

量子物理 · 物理学 2025-06-16 Vishal Singh , Mark M. Wilde