# Work and reversibility in quantum thermodynamics

@article{Alhambra2015WorkAR, title={Work and reversibility in quantum thermodynamics}, author={'Alvaro M. Alhambra and Stephanie Wehner and Mark M. Wilde and Mischa P. Woods}, journal={Physical Review A}, year={2015}, volume={97} }

It is a central question in quantum thermodynamics to determine how irreversible is a process that transforms an initial state $\rho$ to a final state $\sigma$, and whether such irreversibility can be thought of as a useful resource. For example, we might ask how much work can be obtained by thermalizing $\rho$ to a thermal state $\sigma$ at temperature $T$ of an ambient heat bath. Here, we show that, for different sets of resource-theoretic thermodynamic operations, the amount of entropy… Expand

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#### References

SHOWING 1-10 OF 63 REFERENCES

Stochastic Independence as a Resource in Small-Scale Thermodynamics.

- Mathematics, Physics
- Physical review letters
- 2015

The many, severe constraints of microscopic thermodynamics are reduced to the sole requirement that the nonequilibrium free energy decreases in the transformation, which shows that, in principle, reliable extraction of work equal to the free energy of a system can be performed by microscopic engines. Expand

Dynamical maps, quantum detailed balance, and the Petz recovery map

- Physics
- 2017

Markovian master equations (formally known as quantum dynamical semigroups) can be used to describe the evolution of a quantum state ρ when in contact with a memoryless thermal bath. This approach… Expand

Reversible Framework for Quantum Resource Theories.

- Physics, Medicine
- Physical review letters
- 2015

The general structure of QRTs is discussed, and it is shown that under a few assumptions, a QRT is asymptotically reversible if its set of allowed operations is maximal, that is, if the allowed operations are the set of all operations that do not generate (asymptotical) a resource. Expand

Limits to catalysis in quantum thermodynamics

- Physics
- 2015

Quantum thermodynamics is a research field that aims at fleshing out the ultimate limits of thermodynamic processes in the deep quantum regime. A complete picture of thermodynamical processes… Expand

Thermodynamic work from operational principles

- Physics, Mathematics
- 2016

In recent years we have witnessed a concentrated effort to make sense of thermodynamics for small-scale systems. One of the main difficulties is to capture a suitable notion of work that models… Expand

Resource theory of quantum states out of thermal equilibrium.

- Physics, Medicine
- Physical review letters
- 2013

It is shown that the free energy of thermodynamics emerges naturally from the resource theory of energy-preserving transformations, provided that a sublinear amount of coherent superposition over energy levels is available, a situation analogous to the sub linear amount of classical communication required for entanglement dilution. Expand

Coherence and measurement in quantum thermodynamics

- Physics, Medicine
- Scientific reports
- 2016

Information processing tasks, the so-called projections, that can only be formulated within the framework of quantum mechanics are identified and it is shown that the physical realisation of such projections can come with a non-trivial thermodynamic work only for quantum states with coherences. Expand

Work extraction and thermodynamics for individual quantum systems.

- Physics, Medicine
- Nature communications
- 2014

It is proved that the second law of thermodynamics holds in this framework, and a simple protocol is given to extract the optimal amount of work from the system, equal to its change in free energy. Expand

Approximate reversibility in the context of entropy gain, information gain, and complete positivity

- Physics
- 2016

There are several inequalities in physics which limit how well we can process physical systems to achieve some intended goal, including the second law of thermodynamics, entropy bounds in quantum… Expand

Quantum thermodynamics of general quantum processes.

- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2015

It is shown that heat, from the first law, is positive when the input state of the map majorizes the output state, and the change in entropy is also positive for the same majorization condition, making a strong connection between the two operational laws of thermodynamics. Expand