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The purpose of testing a system with respect to a requirement is to refute the hypothesis that the system satisfies the requirement. We build a theory of tests and refutation based on the elementary notions of satisfaction and refinement.…

Software Engineering · Computer Science 2020-06-19 Mohammad Torabi Dashti , David Basin

Optimal (reversible) processes in thermodynamics can be modelled as step-by-step processes, where the system is successively thermalized with respect to different Hamiltonians by an external thermal bath. However, in practice interactions…

Quantum computers are now on the brink of outperforming their classical counterparts. One way to demonstrate the advantage of quantum computation is through quantum random sampling performed on quantum computing devices. However, existing…

The minimal-coupling quantum heat engine is a thermal machine consisting of an explicit energy storage system, heat baths, and a working body, which alternatively couples to subsystems through discrete strokes -- energy-conserving two-body…

Quantum Physics · Physics 2021-01-01 Marcin Łobejko , Paweł Mazurek , Michał Horodecki

The problem of sampling outputs of quantum circuits has been proposed as a candidate for demonstrating a quantum computational advantage (sometimes referred to as quantum "supremacy"). In this work, we investigate whether quantum advantage…

Quantum Physics · Physics 2021-06-09 Leonardo Novo , Juani Bermejo-Vega , Raúl García-Patrón

The uncertainty principle bounds the uncertainties about incompatible measurements, clearly setting quantum theory apart from the classical world. Its mathematical formulation via uncertainty relations, plays an irreplaceable role in…

Quantum Physics · Physics 2019-08-22 Yunlong Xiao , Kun Fang , Gilad Gour

We derive a necessary and sufficient condition for a sequence of quantum measurements to achieve the optimal performance in quantum hypothesis testing. Using an information-spectrum method, we discuss what quantum measurement we should…

Quantum Physics · Physics 2009-11-07 Masahito Hayashi

We investigate the compression of quantum information with respect to a given set $\mathcal{M}$ of high-dimensional measurements. This leads to a notion of simulability, where we demand that the statistics obtained from $\mathcal{M}$ and an…

Considering a general microscopic model for a quantum measuring apparatus comprising a quantum probe coupled to a thermal bath, we analyze the energetic resources necessary for the realization of a quantum measurement, which includes the…

Quantum Physics · Physics 2025-01-29 Camille L Latune , Cyril Elouard

We characterize the impact that the application of two maps in a quantum-controlled order has on the process of work extraction via unitary cycles and its optimization. The control is based on the quantum switch model that applies maps in…

Quantum Physics · Physics 2022-04-01 Kyrylo Simonov , Gianluca Francica , Giacomo Guarnieri , Mauro Paternostro

Randomness extraction against side information is the art of distilling from a given source a key which is almost uniform conditioned on the side information. This paper provides randomness extraction against quantum side information whose…

Information Theory · Computer Science 2019-11-11 Yodai Watanabe

We address the problem related to the extraction of the information in the simulation of complex dynamics quantum computation. Here we present an example where important information can be extracted efficiently by means of quantum…

Quantum Physics · Physics 2015-06-26 G. Casati , S. Montangero

We present a theoretical analysis of the energy recovery efficiency for quantum batteries composed of many identical quantum cells undergoing noise. While the possibility of using quantum effects to speed up the charging processes of…

Quantum Physics · Physics 2024-08-14 Salvatore Tirone , Raffaele Salvia , Stefano Chessa , Vittorio Giovannetti

In quantum thermodynamics, the two-projective-measurement (TPM) scheme provides a successful description of stochastic work only in the absence of initial quantum coherence. Extending the quantum work distribution to quasiprobability is a…

Statistical Mechanics · Physics 2023-11-09 Ji-Hui Pei , Jin-Fu Chen , H. T. Quan

Information processing, quantum or classical, relies on channels transforming multiple input states to different corresponding outputs. Previous research has established bounds on the thermodynamic resources required for such operations,…

Quantum Physics · Physics 2024-05-22 Joe Dunlop , Federico Cerisola , Jorge Tabanera-Bravo , Janet Anders

We present an experimental illustration on the quantum sensitivity of decision making machinery. In the decision making process, we consider the role of available information, say hint, whether it influences the optimal choices. To the end,…

Quantum Physics · Physics 2019-05-15 Joong-Sung Lee , Jeongho Bang , Jinhyoung Lee , Kwang-Geol Lee

The trade-offs between error probabilities in quantum hypothesis testing are by now well-understood in the centralized setting, but much less is known for distributed settings. Here, we study a distributed binary hypothesis testing problem…

Quantum Physics · Physics 2026-04-29 Sreejith Sreekumar , Christoph Hirche , Hao-Chung Cheng , Mario Berta

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

Statistical Mechanics · Physics 2013-10-21 Sebastian Deffner , Christopher Jarzynski

A short introduction on quantum thermodynamics is given and three new topics are discussed: 1) Maximal work extraction from a finite quantum system. The thermodynamic prediction fails and a new, general result is derived, the ``ergotropy''.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen

Any measurement is intended to provide information on a system, namely knowledge about its state. However, we learn from quantum theory that it is generally impossible to extract information without disturbing the state of the system or its…

Quantum Physics · Physics 2020-11-18 Giacomo Mauro D'Ariano , Paolo Perinotti , Alessandro Tosini
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