An introductory review of the resource theory approach to thermodynamics

Lostaglio, Matteo

doi:10.1088/1361-6633/ab46e5

Cited by 167 publications

(165 citation statements)

References 119 publications

(198 reference statements)

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“…Property (R3) makes sure the resource content will not increase after an extension with an absolutely free state η. Property (R4) is a common property possessed by many R-theories such as the ones of entanglement [3], nonlocality [16,46], and athermality [22,25]. This also implies that in this work the set O N R is always convex.…”

Section: Setup and Assumptionsmentioning

confidence: 88%

“…This important feature of resource theory provides an identification allowing not just detection but also comparison. Various resource theories have been reported for, but not limited to, entanglement [3,13], coherence [14,15], nonlocality [7,16], steering [10,[17][18][19], asymmetry [20,21], and athermality [22][23][24][25][26][27]. There are also general features of resource theories [28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

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Resource Preservability

Hsieh

2020

Quantum

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Resource theory is a general, model-independent approach aiming to understand the qualitative notion of resource quantitatively. In a given resource theory, free operations are physical processes that do not create resource and are considered zero-cost. This brings the following natural question: For a given free operation, what is its ability to preserve a resource? We axiomatically formulate this ability as the resource preservability, which is constructed as a channel resource theory induced by a state resource theory. We provide two general classes of resource preservability monotones: One is based on state resource monotones, and another is based on channel distance measures. Specifically, the latter gives the robustness monotone, which has been recently found to have an operational interpretation. We further apply our theory to the study of entanglement preserving local thermalization (EPLT) and provide a new family of EPLT which admits arbitrarily small nonzero entanglement preservability and free entanglement preservation at the same time. Our results give the first systematic and general formulation of the resource preservation of free operations.

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Section: Setup and Assumptionsmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Resource Preservability

Hsieh

2020

Quantum

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“…Moreover, these operations are also experimentally achievable as they can be realized with a very coarse-grained control [34]. A very readable and comprehensive introductions to this field of quantum thermodynamics can be found in [56] and [57]. See also [58] for an attempt to reconcile this framework with a more standard approach of stochastic thermodynamics.…”

Section: Frameworkmentioning

confidence: 99%

“…For the ideal weight we will look for an optimal transformation whereas for the harmonic oscillator we will apply Construction 1 to extend the Landauer erasure map on the wit to the harmonic oscillator battery. Our goal here is to find the minimal ε which can be achieved when work fluctuations are bounded by c according to (56). Ideal weight.…”

Section: Landauer Erasure: Fluctuations Measuredmentioning

confidence: 99%

Second law of thermodynamics for batteries with vacuum state

Lipka-Bartosik

Mazurek

Horodecki

2021

Quantum

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In stochastic thermodynamics work is a random variable whose average is bounded by the change in the free energy of the system. In most treatments, however, the work reservoir that absorbs this change is either tacitly assumed or modelled using unphysical systems with unbounded Hamiltonians (i.e. the ideal weight). In this work we describe the consequences of introducing the ground state of the battery and hence — of breaking its translational symmetry. The most striking consequence of this shift is the fact that the Jarzynski identity is replaced by a family of inequalities. Using these inequalities we obtain corrections to the second law of thermodynamics which vanish exponentially with the distance of the initial state of the battery to the bottom of its spectrum. Finally, we study an exemplary thermal operation which realizes the approximate Landauer erasure and demonstrate the consequences which arise when the ground state of the battery is explicitly introduced. In particular, we show that occupation of the vacuum state of any physical battery sets a lower bound on fluctuations of work, while batteries without vacuum state allow for fluctuation-free erasure.

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“…However, attempts to formulate the zeroth law remain relatively rare [6,[47][48][49]. Resource theory [50,51] is used to generalizing the transient nature of equilibrium and equivalence relation form of the zeroth law to the quantum regime. In terms of an equivalence relation, the zeroth law states that if A ∼ B and B ∼ C , then A ∼ C .…”

Section: Zeroth Law Of Quantum Thermodynamicsmentioning

confidence: 99%

Quantum thermodynamics and quantum coherence engines

Tuncer

Müstecaplıoğlu²

2020

Turk J Phys

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The advantages of quantum effects in several technologies, such as computation and communication, have already been well appreciated. Some devices, such as quantum computers and communication links, exhibiting superiority to their classical counterparts, have been demonstrated. The close relationship between information and energy motivates us to explore if similar quantum benefits can be found in energy technologies. Investigation of performance limits for a broader class of information-energy machines is the subject of the rapidly emerging field of quantum thermodynamics. Extension of classical thermodynamical laws to the quantum realm is far from trivial. This short review presents some of the recent efforts in this fundamental direction. It focuses on quantum heat engines and their efficiency bounds when harnessing energy from nonthermal resources, specifically those containing quantum coherence and correlations.

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An introductory review of the resource theory approach to thermodynamics

Cited by 167 publications

References 119 publications

Resource Preservability

Resource Preservability

Second law of thermodynamics for batteries with vacuum state

Quantum thermodynamics and quantum coherence engines

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