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We consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained…

高能物理 - 理论 · 物理学 2008-12-18 Kazuhiro Sakai , Yuji Satoh

The operational meaning of coherence measure lies at very heart of the coherence theory. In this paper, we provide an operational interpretation for geometric coherence, by proving that the geometric coherence of a quantum state is equal to…

量子物理 · 物理学 2018-09-26 Chunhe Xiong , Junde Wu

We calculate the entanglement of formation and the entanglement of distillation for arbitrary mixtures of the zero spin states on an arbitrary-dimensional bipartite Hilbert space. Such states are relevant to quantum black holes and to…

量子物理 · 物理学 2007-05-23 Etera R. Livine , Daniel R. Terno

Quantum coherence is the most distinguished signature of quantum mechanics, also recognized to be an essential resource for many promising quantum technologies, playing a central role in phenomena related to quantum information science,…

量子物理 · 物理学 2019-02-27 Bertúlio de Lima Bernardo

Steering resources, central for quantum advantages in one-sided device-independent quantum information tasks, can be enhanced via local filters. Recently, reversible steering conversion under local filters has been fully characterised.…

量子物理 · 物理学 2023-09-13 Chung-Yun Hsieh , Huan-Yu Ku , Costantino Budroni

Heisenberg's uncertainty principle has recently led to general measurement uncertainty relations for quantum systems: incompatible observables can be measured jointly or in sequence only with some unavoidable approximation, which can be…

量子物理 · 物理学 2017-06-27 Alberto Barchielli , Matteo Gregoratti , Alessandro Toigo

For a multipartite system, we sort out all possible entanglements, each of which is among a set of subsystems. Each entanglement can be measured by a generalized relative entropy of entanglement, which is conserved on average under…

量子物理 · 物理学 2007-05-23 Yu Shi

Quantum coherence is a critical resource for many operational tasks. Understanding how to quantify and manipulate it also promises to have applications for a diverse set of problems in theoretical physics. For certain applications, however,…

量子物理 · 物理学 2016-11-22 Iman Marvian , Robert W. Spekkens

The concept of distinguishability lies at the heart of quantum information theory. We introduce \textit{left-right relative entropy} as a quantitative measure of distinguishability within the space of boundary states in two-dimensional…

高能物理 - 理论 · 物理学 2026-05-26 Mostafa Ghasemi

Comparison-based algorithms are algorithms for which the execution of each operation is solely based on the outcome of a series of comparisons between elements. Comparison-based computations can be naturally represented via the following…

数据结构与算法 · 计算机科学 2020-11-17 Michel Schellekens

Quantum coherence plays a fundamental and operational role in different areas of physics. A resource theory has been developed to characterize the coherence of distinguishable particles systems. Here we show that indistinguishability of…

One of the most important and useful entropic uncertainty relations concerns a $d$ dimensional system and two mutually unbiased measurements. In such a setting, the sum of two information entropies is lower bounded by $\ln d$. It has…

量子物理 · 物理学 2021-10-27 Łukasz Rudnicki , Stephen P. Walborn

We study the entanglement between disjoint subregions in quantum critical systems through the lens of the logarithmic negativity. We work with systems in arbitrary dimensions, including conformal field theories and their corresponding…

强关联电子 · 物理学 2024-05-06 Gilles Parez , William Witczak-Krempa

For a closed-loop control system with a digital channel between the sensor and the controller, the notion of invariance entropy quantifies the smallest average rate of information above which a given compact subset of the state space can be…

最优化与控制 · 数学 2021-11-19 Mahendra Singh Tomar , Christoph Kawan , Majid Zamani

Optical cat state plays an essential role in quantum computation and quantum metrology. Here, we experimentally quantify quantum coherence of an optical cat state by means of relative entropy and l_1 norm of coherence in Fock basis based on…

量子物理 · 物理学 2021-05-07 Miao Zhang , Haijun Kang , Meihong Wang , Fengyi Xu , Xiaolong Su , Kunchi Peng

Complementarity and entanglement are fundamental features of Quantum Mechanics that were recently related in triality equalities that involve quantum coherence, the wave aspect of a qubit, and quantum predictability and quantum…

量子物理 · 物理学 2022-09-09 Marcos L. W. Basso , Jonas Maziero

A consistent generalization of statistical mechanics is obtained by applying the maximum entropy principle to a trace-form entropy and by requiring that physically motivated mathematical properties are preserved. The emerging…

统计力学 · 物理学 2009-11-10 G. Kaniadakis , M. Lissia , A. M. Scarfone

Many quantum information measures can be written as an optimization of the quantum relative entropy between sets of states. For example, the relative entropy of entanglement of a state is the minimum relative entropy to the set of separable…

量子物理 · 物理学 2018-08-09 Hamza Fawzi , Omar Fawzi

The quantum relative entropy is a fundamental quantity in quantum information science, characterizing the distinguishability between two quantum states. However, this quantity is not additive in general for correlated quantum states,…

量子物理 · 物理学 2025-06-05 Kun Fang , Hamza Fawzi , Omar Fawzi

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,…

量子物理 · 物理学 2012-08-30 Boris Hage , Aiko Samblowski , James DiGuglielmo , Jaromír Fiurášek , Roman Schnabel
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