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Landauer’s principle introduces a symmetry between computational and physical processes: erasure of information, a logically irreversible operation, must be underlain by an irreversible transformation dissipating energy. Monitoring micro- and nano-systems needs to enter into the energetic balance of their control; hence, finding the ultimate limits is instrumental to the development of future thermal machines operating at the quantum level. We report on the experimental investigation of a lower bound to the irreversible entropy associated to generalized quantum measurements on a quantum bit. We adopted a quantum photonics gate to implement a device interpolating from the weakly disturbing to the fully invasive and maximally informative regime. Our experiment prompted us to introduce a bound taking into account both the classical result of the measurement and the outcoming quantum state; unlike previous investigation, our entropic bound is based uniquely on measurable quantities. Our results highlight what insights the information-theoretic approach provides on building blocks of quantum information processors. A lower bound for the thermodynamic cost of quantum measurements can be found from non-thermodynamic quantities. Modern classical and quantum devices can be used to explore the fundamental limits of computation, such as the energy required to measure or erase information. Luca Mancino and collaborators in Italy and the United Kingdom have demonstrated the evaluation of a lower limit on irreversible thermodynamic entropy generated during a quantum measurement. In general, thermodynamic quantities are difficult to measure but the authors' bound is calculated using information obtained from standard quantum optical measurements. Mancino et al. find that although their bound does not constrain the entropy tightly it does reflect how the experimental parameters affect the entropic cost of the measurements. This demonstrates the potential for using information-theoretic quantities to gain insight into quantum thermodynamics.

The relation between the theory of entanglement and thermodynamics is very tight: a thermodynamic theory of quantum entanglement, as well as the establishment of rigorous formal connections between the laws of thermodynamics and the phenomenology of entanglement are currently open areas of investigation. In this quest, an interesting problem is embodied by the role played by entanglement in processes of work extraction from a working medium embodied by quantum information carriers. In this work, we experimentally address the question "Is there any intrinsic advantage for work extraction given by the use of an entangled working medium?". By addressing work-extraction protocols based on a mechanism intimately linked to the paradigm of Maxwell's daemon, and implementing suitably designed multi-photon optical interferometers, we demonstrate experimentally the intrinsic advantages for such tasks provided by bipartite and genuine multipartite entanglement. We highlight the unique nature of such tests by comparing their performance to standard tests for the inseparability of multi-photon state resources. Our work contributes strongly to the ongoing efforts in establishing photonic systems as a platform for experiments for information thermodynamics.