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We identify the conditions for local passivity for shared quantum batteries with local Hamiltonians. For locally passive states of two-qubit batteries, we find the relation of their entanglement content with the amount of energy that can be…

Quantum Physics · Physics 2021-09-29 Kornikar Sen , Ujjwal Sen

For an open quantum system to evolve under CPTP maps, assumptions are made on the initial correlations between the system and the environment. Hermitian-preserving trace-preserving (HPTP) maps are considered as the local dynamic maps beyond…

Quantum Physics · Physics 2023-08-04 Ningping Cao , Maxwell Fitzsimmons , Zachary Mann , Rajesh Pereira , Raymond Laflamme

We ask whether there exists a relation between controllability of the fluctuations in extractable energy of a quantum battery and (a) how open an arbitrary but fixed battery system is and (b) how large the battery is. We examine three…

Quantum Physics · Physics 2025-05-23 Anindita Sarkar , Paranjoy Chaki , Priya Ghosh , Ujjwal Sen

Recently, a lot of attention has been devoted to finding physically realisable operations that realise as closely as possible certain desired transformations between quantum states, e.g. quantum cloning, teleportation, quantum gates, etc.…

Quantum Physics · Physics 2013-04-25 K. Audenaert , B. De Moor

We examine when it is possible to locally extract energy from a bipartite quantum system in the presence of strong coupling and entanglement, a task which is expected to be restricted by entanglement in the low-energy eigenstates. We fully…

Quantum control has been a cornerstone of quantum information science, driving major advances in quantum computing, quantum communication, and quantum sensing. Over the years, it has enabled the implementation of arbitrary completely…

Quantum Physics · Physics 2026-02-06 Weizhou Cai , Zi-Jie Chen , Xuanqiang Zhao , Xin Wang , Guang-Can Guo , Luyan Sun , Chang-Ling Zou

The description of the dynamics of an open quantum system in the presence of initial correlations with the environment needs different mathematical tools than the standard approach to reduced dynamics, which is based on the use of a…

Quantum Physics · Physics 2022-11-11 Andrea Smirne , Nina Megier , Bassano Vacchini

We establish a general implementation-independent approach to assess the potential advantage of using highly entangled quantum states between the initial and final states of the charging protocol to enhance the maximum charging power of…

Quantum Physics · Physics 2024-01-25 Ju-Yeon Gyhm , Uwe R. Fischer

Quantum mechanics features a variety of distinct properties such as coherence and entanglement, which could be explored to showcase potential advantages over classical counterparts in information processing. In general, legitimate quantum…

Quantum Physics · Physics 2023-08-17 Fuchuan Wei , Zhenhuan Liu , Guoding Liu , Zizhao Han , Xiongfeng Ma , Dong-Ling Deng , Zhengwei Liu

In this work, we investigate the amount of energy that can be extracted or charged through unitary operations when only minimal information about the state is known. Assuming knowledge of only the mean energy of the state, we start by…

Quantum Physics · Physics 2025-09-12 Andrea Canzio , Vasco Cavina , Roberto Menta , Vittorio Giovannetti

Physical transformations are described by linear maps that are completely positive and trace preserving (CPTP). However, maps that are positive (P) but not completely positive (CP) are instrumental to derive separability/entanglement…

Quantum Physics · Physics 2023-01-10 Maciej Lewenstein , Guillem Müller-Rigat , Jordi Tura , Anna Sanpera

Quantum energy teleportation (QET) has been proposed to overcome the restrictions of strong local passivity (SLP) and to facilitate energy transfer in quantum systems. Traditionally, QET has only been considered under strict constraints,…

Quantum Physics · Physics 2025-11-14 Songbo Xie , Manas Sajjan , Sabre Kais

We investigate work extraction protocols designed to transfer the maximum possible energy to a battery using sequential access to $N$ copies of an unknown pure qubit state. The core challenge is designing interactions to optimally balance…

Quantum Physics · Physics 2025-05-15 Josep Lumbreras , Ruo Cheng Huang , Yanglin Hu , Mile Gu , Marco Tomamichel

We address the problem of finding optimal CPTP (completely positive, trace preserving) maps between a set of binary pure states and another set of binary generic mixed state in a two dimensional space. The necessary and sufficient…

Quantum Physics · Physics 2014-12-01 A. Carlini , M. Sasaki

In this article, in addition to the characterization of geometrical state spaces for the passive states, an operational approach has been introduced to distinguish them on their charging capabilities of a quantum battery. Unlike the thermal…

Quantum Physics · Physics 2020-08-19 Mir Alimuddin , Tamal Guha , Preeti Parashar

Quantum battery has become one of the hot issues at the research frontiers of quantum physics recently. Charging power, extractable work and wireless charging over long-distance are three important aspects of interest. Non-contact…

Quantum Physics · Physics 2025-11-18 Jun Wen , Zheng Wen , Ping Peng , Guan-Qiang Li

We study the storage capacity of quantum neural networks (QNNs) described as completely positive trace preserving (CPTP) maps, which act on an $N$-dimensional Hilbert space. We demonstrate that QNNs can store up to $N$ linearly independent…

Storing and extracting energy using quantum degrees of freedom is a promising approach to leveraging quantum effects in energy science. Early experimental efforts have already demonstrated its potential to surpass the charging power of…

Quantum Physics · Physics 2025-01-22 Anupam Sarkar , Sibasish Ghosh

We demonstrate an asymmetry between the beneficial effects one can obtain using non-local operations and non-local states to mitigate the detrimental effects of environmental noise in the work extraction from quantum battery models.…

Quantum Physics · Physics 2023-09-06 Salvatore Tirone , Raffaele Salvia , Stefano Chessa , Vittorio Giovannetti

In this work we examine quantum states which have non-negative amplitudes (in a fixed basis) and the channels which preserve them. These states include the ground states of stoquastic Hamiltonians and they are of interest since they avoid…

Quantum Physics · Physics 2022-09-08 Nathaniel Johnston , Jamie Sikora
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