Producing and certifying entanglement between distant qubits is a highly desirable skill for quantum information technologies. Here we propose a new strategy to monitor and characterize entanglement genesis in a half parity measurement setup, that relies on the continuous readout of an energetic observable which is the half-parity observable itself. Based on a quantum-trajectory approach, we theoretically analyze the statistics of energetic fluctuations for a pair of continuously monitored qubits. We quantitatively relate these energetic fluctuations to the rate of entanglement produced between the qubits, and build an energetic-based estimator to assess the presence of entanglement in the circuit. Remarkably, this estimator is valid at the single-trajectory level and shows to be robust against finite detection efficiency. Our work paves the road towards a fundamental understanding of the stochastic energetic processes associated with entanglement genesis, and opens new perspectives for witnessing quantum correlations thanks to quantum thermodynamic quantities.
 C. I. Nielsen M., Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge: Cambridge University Press, 2010).
 N. Roch, M. E. Schwartz, F. Motzoi, C. Macklin, R. Vijay, A. W. Eddins, A. N. Korotkov, K. B. Whaley, M. Sarovar, and I. Siddiqi, Phys. Rev. Lett. 112, 170501 (2014).
 Q. Ficheux, S. Jezouin, P. Campagne-Ibarcq, P. Rouchon, and B. Huard, in Quantum Information and Measurement (QIM) 2017 (Optical Society of America, 2017) p. QF5A.2.
 M. Naghiloo, J. J. Alonso, A. Romito, E. Lutz, and K. W. Murch, Phys. Rev. Lett. 121, 030604 (2018).
 C. Elouard, D. Herrera-Martí, B. Huard, and A. Auffèves, Phys. Rev. Lett. 118, 260603 (2017a).
 C. Elouard and A. N. Jordan, Phys. Rev. Lett. 120, 260601 (2018).
 L. Buffoni, A. Solfanelli, P. Verrucchi, A. Cuccoli, and M. Campisi, (2018), arXiv:1806.07814.
 J. J. Alonso, E. Lutz, and A. Romito, Phys. Rev. Lett. 116, 080403 (2016).
 M. Riebe, H. Häffner, C. F. Roos, W. Hänsel, J. Benhelm, G. P. T. Lancaster, T. W. Körber, C. Becher, F. Schmidt-Kaler, D. F. V. James, and R. Blatt, Nature 429, 734 EP (2004).
 C. Gardiner, Handbook of Stochastic Methods (Springer-Verlag Berlin Heidelberg, 1985).
 C. Elouard, D. Herrera-Martí, B. Huard, and A. Auffèves, Physical Review Letters 118, 260603 (2017c).
 M. B. Plenio and S. Virmani, Quantum Info. Comput. 7, 1 (2007).
 M. Huber, M. Perarnau-Llobet, K. V. Hovhannisyan, P. Skrzypczyk, C. Klöckl, N. Brunner, and A. Acín, New Journal of Physics 17, 065008 (2015).
 S. Gasparinetti, K. Viisanen, O.-P. Saira, T. Faivre, M. Arzeo, M. Meschke, and J. Pekola, Physical Review Applied 3, 014007 (2015).
 D. M. T. van Zanten, D. M. Basko, I. M. Khaymovich, J. P. Pekola, H. Courtois, and C. B. Winkelmann, Phys. Rev. Lett. 116, 166801 (2016).
 Alain Sarlette, "Deducing entanglement from signal fluctuations", Quantum Views 3, 23 (2019).
 M. H. Mohammady, A. Auffèves, and J. Anders, "Energetic footprints of irreversibility in the quantum regime", Communications Physics 3 1, 89 (2020).
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