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Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty relations in particular have gained significant importance within quantum information, providing the foundation for the security of many quantum…

量子物理 · 物理学 2011-05-02 Stephanie Wehner , Andreas Winter

The quantum battery capacity is introduced in this letter as a figure of merit that expresses the potential of a quantum system to store and supply energy. It is defined as the difference between the highest and the lowest energy that can…

Understanding the thermodynamic properties of quantum systems is essential for developing energy-efficient quantum technologies. In this regard, this work explores the application of quantum computational methods to study the quantum…

量子物理 · 物理学 2025-05-20 Lucas Galvão , Ana Clara das Neves , Maron Anka , Clebson Cruz

Uncertainty relations lie at the very core of quantum mechanics, and form the cornerstone of essentially all quantum cryptographic applications. In particular, they play an important role in cryptographic protocols in the…

量子物理 · 物理学 2008-08-27 Stephanie Wehner , Andreas Winter

A key concept in quantum thermodynamics is extractable work, which specifies the maximum amount of work that can be extracted from a quantum system. Different quantities are used to measure extractable work, the most prevalent of which are…

量子物理 · 物理学 2024-01-17 Amin Mohammadi , Afshin Shafiee

One of the most fundamental tasks in quantum thermodynamics is extracting energy from one system and subsequently storing this energy in an appropriate battery. Both of these steps, work extraction and charging, can be viewed as cyclic…

量子物理 · 物理学 2018-04-25 Nicolai Friis , Marcus Huber

The quantum uncertainty principle stands as a cornerstone and a distinctive feature of quantum mechanics, setting it apart from classical mechanics. We introduce a tripartite quantum-memory-assisted entropic uncertainty relation, and extend…

量子物理 · 物理学 2025-11-11 Cong Xu , Qing-Hua Zhang , Tao Li , Shao-Ming Fei

We study entropic uncertainty relations by using stepwise linear functions and quadratic functions. Two kinds of improved uncertainty lower bounds are constructed: the state-independent one based on the lower bound of Shannon entropy and…

量子物理 · 物理学 2018-11-14 Zhihua Chen , Zhihao Ma , Yunlong Xiao , Shao-Ming Fei

Entropic uncertainty relations play a fundamental role in quantum information theory. However, determining optimal (tight) entropic uncertainty relations for general observables remains a formidable challenge and has so far been achieved…

量子物理 · 物理学 2026-02-03 Ma-Cheng Yang , Cong-Feng Qiao

Quantum correlations that typically develop between a quantum battery and its charger reduce the amount of work extractable from the battery. We show that by coupling the system with an additional environment that can be continuously…

量子物理 · 物理学 2025-12-08 Gabriele Cenedese , Giuliano Benenti , Dario Ferraro , Marco G. Genoni

We study two operational approaches to quantifying incompatibility that depart significantly from the well known entropic uncertainty relation (EUR) formalism. Both approaches result in incompatibility measures that yield non-zero values…

量子物理 · 物理学 2015-10-15 Srijita Kundu , Kaustubh Wagh , Prabha Mandayam

For classic systems, the thermodynamic uncertainty relation (TUR) states that the fluctuations of a current have a lower bound in terms of the entropy production. Some TURs are rooted in information theory, particularly derived from…

量子物理 · 物理学 2023-09-27 Domingos S. P. Salazar

Thermodynamic uncertainty relations (TURs) place strict bounds on the fluctuations of thermodynamic quantities in terms of the associated entropy production. In this work we identify the tightest (and saturable) matrix-valued TUR that can…

量子物理 · 物理学 2019-10-07 André M. Timpanaro , Giacomo Guarnieri , John Goold , Gabriel T. Landi

We investigate the additivity properties for both bipartite and multipartite systems by using entropic uncertainty relations (EUR) defined in terms of the joint Shannon entropy of probabilities of local measurement outcomes. In particular,…

量子物理 · 物理学 2025-02-25 Alberto Riccardi , Giovanni Chesi , Chiara Macchiavello , Lorenzo Maccone

The maximum work that can be extracted from a quantum battery is bounded by the ergotropy of the system, which is determined by the spectral properties of the Hamiltonian. In this paper, we employ the formalism of quantum walks to…

量子物理 · 物理学 2025-10-23 Simone Cavazzoni , Giovanni Ragazzi , Paolo Bordone , Matteo G. A. Paris

Entropic uncertainty relations are powerful tools, especially in quantum cryptography. They typically bound the amount of uncertainty a third-party adversary may hold on a measurement outcome as a result of the measurement overlap. However,…

量子物理 · 物理学 2023-05-18 Walter O. Krawec

We present a collision model for the charging of a quantum battery by identical nonequilibrium qubit units. When the units are prepared in a mixture of energy eigenstates, the energy gain in the battery can be described by a classical…

In the abstract of~[Phys. Rev. Lett. {\bf 125}, 040601 (2020)] one can read that: [...]{\it to have a nonzero rate of change of the extractable work, the state $\rho_\mathcal{W}$ of the battery cannot be an eigenstate of a "free energy…

量子物理 · 物理学 2021-07-14 Stefano Cusumano , Łukasz Rudnicki

We propose an innovative design for quantum batteries (QBs) that involves coupling two-level systems to a topological photonic waveguide. Employing the resolvent method, we analytically explore the thermodynamic performance of QBs. First,…

量子物理 · 物理学 2025-05-26 Zhi-Guang Lu , Guoqing Tian , Xin-You Lü , Cheng Shang

We consider quantum batteries given by composite interacting quantum systems in terms of the thermodynamic work cost of local random unitary processes. We characterize quantum correlations by monitoring the average energy change and its…

量子物理 · 物理学 2026-03-30 Satoya Imai , Otfried Gühne , Stefan Nimmrichter