{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T20:45:16Z","timestamp":1760647516783,"version":"3.37.3"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T00:00:00Z","timestamp":1635724800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T00:00:00Z","timestamp":1635724800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001843","name":"Science and Engineering Research Board","doi-asserted-by":"publisher","award":["ECR\/2017\/002607"],"award-info":[{"award-number":["ECR\/2017\/002607"]}],"id":[{"id":"10.13039\/501100001843","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology","doi-asserted-by":"publisher","award":["DST\/ICPS\/QuST\/Theme-1\/2019\/13"],"award-info":[{"award-number":["DST\/ICPS\/QuST\/Theme-1\/2019\/13"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2021,11]]},"DOI":"10.1007\/s11128-021-03260-4","type":"journal-article","created":{"date-parts":[[2021,11,6]],"date-time":"2021-11-06T06:02:48Z","timestamp":1636178568000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Exploring the extent of validity of quantum work fluctuation theorems in the presence of weak measurements"],"prefix":"10.1007","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1836-223X","authenticated-orcid":false,"given":"Sourabh","family":"Lahiri","sequence":"first","affiliation":[]},{"given":"Subhashish","family":"Banerjee","sequence":"additional","affiliation":[]},{"given":"A. M.","family":"Jayannavar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,11,6]]},"reference":[{"key":"3260_CR1","doi-asserted-by":"publisher","first-page":"1665","DOI":"10.1103\/RevModPhys.81.1665","volume":"81","author":"M Esposito","year":"2009","unstructured":"Esposito, M., Harbola, U., Mukamel, S.: Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems. Rev. Mod. Phys. 81, 1665 (2009)","journal-title":"Rev. Mod. Phys."},{"key":"3260_CR2","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1146\/annurev-conmatphys-062910-140506","volume":"2","author":"C Jarzynski","year":"2011","unstructured":"Jarzynski, C.: Equalities and inequalities: irreversibility and the second law of thermodynamics at the nanoscale. Annu. Rev. Condens. Matter Phys. 2, 329 (2011)","journal-title":"Annu. Rev. Condens. Matter Phys."},{"key":"3260_CR3","doi-asserted-by":"publisher","first-page":"771","DOI":"10.1103\/RevModPhys.83.771","volume":"83","author":"M Campisi","year":"2011","unstructured":"Campisi, M., Hanggi, P., Talkner, P.: Colloquium: quantum fluctuation relations: foundations and applications. Rev. Mod. Phys. 83, 771 (2011)","journal-title":"Rev. Mod. Phys."},{"key":"3260_CR4","doi-asserted-by":"publisher","first-page":"126001","DOI":"10.1088\/0034-4885\/75\/12\/126001","volume":"75","author":"U Seifert","year":"2012","unstructured":"Seifert, U.: Stochastic thermodynamics, fluctuation theorems, and molecular machines. Rep. Prog. Phys. 75, 126001 (2012)","journal-title":"Rep. Prog. Phys."},{"key":"3260_CR5","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1080\/00107514.2016.1201896","volume":"57","author":"S Vinjanampathy","year":"2016","unstructured":"Vinjanampathy, S., Anders, J.: Quantum thermodynamics. Contemp. Phys. 57, 545\u2013579 (2016)","journal-title":"Contemp. Phys."},{"key":"3260_CR6","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/j.physrep.2008.02.002","volume":"461","author":"UMB Marconi","year":"2008","unstructured":"Marconi, U.M.B., Puglisi, A., Rondoni, L., Vulpiani, A.: Fluctuation-dissipation: response theory in statistical physics. Phys. Rep. 461, 111 (2008)","journal-title":"Phys. Rep."},{"key":"3260_CR7","doi-asserted-by":"publisher","first-page":"P02006","DOI":"10.1088\/1742-5468\/2007\/02\/P02006","volume":"2007","author":"D Andrieux","year":"2007","unstructured":"Andrieux, D., Gaspard, P.: A fluctuation theorem for currents and non-linear response coefficients. J. Stat. Mech. 2007, P02006 (2007)","journal-title":"J. Stat. Mech."},{"key":"3260_CR8","doi-asserted-by":"publisher","first-page":"P09012","DOI":"10.1088\/1742-5468\/2007\/09\/P09012","volume":"2007","author":"S Rahav","year":"2007","unstructured":"Rahav, S., Jarzynski, C.: Fluctuation relations and coarse-graining. J. Stat. Mech. 2007, P09012 (2007)","journal-title":"J. Stat. Mech."},{"key":"3260_CR9","doi-asserted-by":"publisher","first-page":"P08001","DOI":"10.1088\/1742-5468\/2006\/08\/P08001","volume":"2006","author":"VY Chernyak","year":"2006","unstructured":"Chernyak, V.Y., Chertkov, M., Jarzynski, C.: Path-integral analysis of fluctuation theorems for general Langevin processes. J. Stat. Mech. 2006, P08001 (2006)","journal-title":"J. Stat. Mech."},{"key":"3260_CR10","doi-asserted-by":"publisher","first-page":"040602","DOI":"10.1103\/PhysRevLett.95.040602","volume":"95","author":"U Seifert","year":"2005","unstructured":"Seifert, U.: Entropy production along a stochastic trajectory and an integral fluctuation theorem. Phys. Rev. Lett. 95, 040602 (2005)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR11","doi-asserted-by":"publisher","first-page":"L581","DOI":"10.1088\/0305-4470\/38\/34\/L03","volume":"38","author":"T Speck","year":"2005","unstructured":"Speck, T., Seifert, U.: Integral fluctuation theorem for the housekeeping heat. J. Phys. A 38, L581 (2005)","journal-title":"J. Phys. A"},{"key":"3260_CR12","doi-asserted-by":"publisher","first-page":"210401","DOI":"10.1103\/PhysRevLett.102.210401","volume":"102","author":"M Campisi","year":"2009","unstructured":"Campisi, M., Talkner, P., H\u00e4nggi, P.: Fluctuation theorem for arbitrary open quantum systems. Phys. Rev. Lett. 102, 210401 (2009)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR13","doi-asserted-by":"publisher","first-page":"140601","DOI":"10.1103\/PhysRevLett.105.140601","volume":"105","author":"M Campisi","year":"2010","unstructured":"Campisi, M., Talkner, P., H\u00e4nggi, P.: Fluctuation theorems for continuously monitored quantum fluxes. Phys. Rev. Lett. 105, 140601 (2010)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR14","doi-asserted-by":"publisher","first-page":"1481","DOI":"10.1023\/A:1023208217925","volume":"90","author":"GE Crooks","year":"1998","unstructured":"Crooks, G.E.: Nonequilibrium measurements of free energy differences for microscopically reversible markovian systems. J. Stat. Phys. 90, 1481 (1998)","journal-title":"J. Stat. Phys."},{"key":"3260_CR15","doi-asserted-by":"publisher","first-page":"2721","DOI":"10.1103\/PhysRevE.60.2721","volume":"60","author":"GE Crooks","year":"1999","unstructured":"Crooks, G.E.: Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences. Phys. Rev. E 60, 2721 (1999)","journal-title":"Phys. Rev. E"},{"key":"3260_CR16","doi-asserted-by":"publisher","first-page":"2690","DOI":"10.1103\/PhysRevLett.78.2690","volume":"78","author":"C Jarzynski","year":"1997","unstructured":"Jarzynski, C.: Nonequilibrium equality for free energy differences. Phys. Rev. Lett. 78, 2690 (1997)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR17","doi-asserted-by":"publisher","first-page":"027102","DOI":"10.1103\/PhysRevE.72.027102","volume":"72","author":"T Monnai","year":"2005","unstructured":"Monnai, T.: Unified treatment of the quantum fluctuation theorem and the Jarzynski equality in terms of microscopic reversibility. Phys. Rev. E 72, 027102 (2005)","journal-title":"Phys. Rev. E"},{"key":"3260_CR18","doi-asserted-by":"publisher","first-page":"050102(R)","DOI":"10.1103\/PhysRevE.75.050102","volume":"75","author":"P Talkner","year":"2007","unstructured":"Talkner, P., Lutz, E., Hanggi, P.: Fluctuation theorems: work is not an observable. Phys. Rev. E 75, 050102(R) (2007)","journal-title":"Phys. Rev. E"},{"key":"3260_CR19","doi-asserted-by":"publisher","first-page":"250601","DOI":"10.1103\/PhysRevLett.113.250601","volume":"113","author":"AJ Roncaglia","year":"2014","unstructured":"Roncaglia, A.J., Cerisola, F., Paz, J.P.: Work measurement as a generalized quantum measurement. Phys. Rev. Lett. 113, 250601 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR20","doi-asserted-by":"crossref","unstructured":"Weiss, U.: Quantum Dissipative Systems, Vol. 13 (World Scientific, 2012)","DOI":"10.1142\/8334"},{"key":"3260_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-13-3182-4","volume-title":"Open Quantum Systems: Dynamics of Non-classical Evolution","author":"S Banerjee","year":"2018","unstructured":"Banerjee, S.: Open Quantum Systems: Dynamics of Non-classical Evolution. Springer, New York (2018)"},{"key":"3260_CR22","doi-asserted-by":"publisher","first-page":"046129","DOI":"10.1103\/PhysRevE.73.046129","volume":"73","author":"M Esposito","year":"2006","unstructured":"Esposito, M., Mukamel, S.: Fluctuation theorems for quantum master equations. Phys. Rev. E 73, 046129 (2006)","journal-title":"Phys. Rev. E"},{"key":"3260_CR23","doi-asserted-by":"publisher","first-page":"480","DOI":"10.1007\/s10955-012-0557-z","volume":"148","author":"R Chetrite","year":"2012","unstructured":"Chetrite, R., Mallick, K.: Quantum fluctuation relations for the Lindblad master equation. J. Stat. Phys. 148, 480 (2012)","journal-title":"J. Stat. Phys."},{"key":"3260_CR24","unstructured":"Quan, H. T., Dong, H.: Quantum Crooks fluctuation theorem and quantum Jarzynski equality in the presence of a reservoir, arXiv:0812.4955"},{"key":"3260_CR25","doi-asserted-by":"publisher","first-page":"230601","DOI":"10.1103\/PhysRevLett.110.230601","volume":"110","author":"R Dorner","year":"2013","unstructured":"Dorner, R., Clark, S.R., Heaney, L., Fazio, R., Goold, J., Vedral, V.: Extracting quantum work statistics and fluctuation theorems by single-qubit interferometry. Phys. Rev. Lett. 110, 230601 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR26","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1143\/PTPS.130.17","volume":"130","author":"K Sekimoto","year":"1998","unstructured":"Sekimoto, K.: Langevin equation and thermodynamics. Prog. Theor. Phys. Supp. 130, 17 (1998)","journal-title":"Prog. Theor. Phys. Supp."},{"key":"3260_CR27","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1140\/epjb\/e2008-00001-9","volume":"64","author":"U Seifert","year":"2008","unstructured":"Seifert, U.: Stochastic thermodynamics: principles and perspectives. Eur. Phys. J. B 64, 423 (2008)","journal-title":"Eur. Phys. J. B"},{"key":"3260_CR28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-05411-2","volume-title":"Stochastic Energetics","author":"K Sekimoto","year":"2010","unstructured":"Sekimoto, K.: Stochastic Energetics. Springer, Berlin (2010)"},{"key":"3260_CR29","doi-asserted-by":"publisher","first-page":"2100","DOI":"10.3390\/e15062100","volume":"15","author":"R Kosloff","year":"2013","unstructured":"Kosloff, R.: Quantum thermodynamics: a dynamical viewpoint. Entropy 15, 2100\u20132128 (2013)","journal-title":"Entropy"},{"key":"3260_CR30","doi-asserted-by":"publisher","first-page":"170402","DOI":"10.1103\/PhysRevLett.105.170402","volume":"105","author":"S Deffner","year":"2010","unstructured":"Deffner, S., Lutz, E.: Generalized Clausius inequality for nonequilibrium quantum processes. Phys. Rev. Lett. 105, 170402 (2010)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR31","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1007\/s12045-021-1153-9","volume":"26","author":"S Lahiri","year":"2021","unstructured":"Lahiri, S., Jayannavar, A.M.: Stochastic energetics and thermodynamics at small scales. Resonance 26, 523 (2021)","journal-title":"Resonance"},{"key":"3260_CR32","doi-asserted-by":"publisher","first-page":"062108","DOI":"10.1103\/PhysRevE.97.062108","volume":"97","author":"G Thomas","year":"2018","unstructured":"Thomas, G., Siddharth, N., Banerjee, S., Ghosh, S.: Thermodynamics of non-Markovian reservoirs and heat engines. Phys. Rev. E 97, 062108 (2018)","journal-title":"Phys. Rev. E"},{"key":"3260_CR33","doi-asserted-by":"publisher","first-page":"032105","DOI":"10.1103\/PhysRevE.88.032105","volume":"88","author":"J Yi","year":"2013","unstructured":"Yi, J., Kim, Y.W.: Nonequilibrium work and entropy production by quantum projective measurements. Phys. Rev. E 88, 032105 (2013)","journal-title":"Phys. Rev. E"},{"key":"3260_CR34","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1119\/1.1475328","volume":"70","author":"TA Brun","year":"2002","unstructured":"Brun, T.A.: A simple model of quantum trajectories. Am. J. Phys. 70, 719 (2002)","journal-title":"Am. J. Phys."},{"key":"3260_CR35","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1103\/PhysRevLett.60.1351","volume":"60","author":"Y Aharonov","year":"1988","unstructured":"Aharonov, Y., Albert, D.Z., Vaidman, L.: How the result of a measurement of a component of the spin of a spin-1\/2 particle can turn out to be 100. Phys. Rev. Lett. 60, 1351 (1988)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR36","doi-asserted-by":"publisher","first-page":"110409","DOI":"10.1103\/PhysRevLett.95.110409","volume":"95","author":"O Oreshkov","year":"2005","unstructured":"Oreshkov, O., Brun, T.A.: Weak measurements are universal. Phys. Rev. Lett. 95, 110409 (2005)","journal-title":"Phys. Rev. Lett."},{"key":"3260_CR37","doi-asserted-by":"publisher","first-page":"032114","DOI":"10.1103\/PhysRevE.89.032114","volume":"89","author":"G Watanabe","year":"2014","unstructured":"Watanabe, G., Venkatesh, B.P., Talkner, P., Campisi, M., Hanggi, P.: Quantum fluctuation theorems and generalized measurements during the force protocol. Phys. Rev. E 89, 032114 (2014)","journal-title":"Phys. Rev. E"},{"key":"3260_CR38","doi-asserted-by":"publisher","first-page":"113002","DOI":"10.1088\/1367-2630\/ab4d9d","volume":"21","author":"T Debarba","year":"2019","unstructured":"Debarba, T., Manzano, G., Guryanova, Y., Huber, M., Friis, N.: Work estimation and work fluctuations in the presence of non-ideal measurements. New J. Phys. 21, 113002 (2019)","journal-title":"New J. Phys."},{"key":"3260_CR39","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/j.aop.2014.02.004","volume":"343","author":"U Singh","year":"2014","unstructured":"Singh, U., Pati, A.K.: Quantum discord with weak measurements. Ann. Phys. 343, 141 (2014)","journal-title":"Ann. Phys."},{"key":"3260_CR40","doi-asserted-by":"publisher","first-page":"012204","DOI":"10.1103\/PhysRevA.102.012204","volume":"102","author":"AK Pati","year":"2020","unstructured":"Pati, A.K., Mukhopadhyay, C., Chakraborty, S., Ghosh, S.: Quantum precision thermometry with weak measurements. Phys. Rev. A 102, 012204 (2020)","journal-title":"Phys. Rev. A"},{"key":"3260_CR41","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1103\/RevModPhys.86.307","volume":"86","author":"J Dressel","year":"2014","unstructured":"Dressel, J., Malik, M., Miatto, F.M., Jordan, A.N., Boyd, R.W.: Colloquium: understanding quantum weak values: basics and applications. Rev. Mod. Phys. 86, 307 (2014)","journal-title":"Rev. Mod. Phys."},{"key":"3260_CR42","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1126\/science.1152697","volume":"319","author":"O Hosten","year":"2008","unstructured":"Hosten, O., Kwiat, P.: Observation of the spin hall effect of light via weak measurements. Science 319, 787 (2008)","journal-title":"Science"},{"key":"3260_CR43","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1038\/nature10120","volume":"474","author":"JS Lundeen","year":"2011","unstructured":"Lundeen, J.S., Sutherland, B., Patel, A., Stewart, C., Bamber, C.: Direct measurement of the quantum wavefunction. Nature 474, 188 (2011)","journal-title":"Nature"},{"key":"3260_CR44","doi-asserted-by":"publisher","first-page":"1070","DOI":"10.1103\/PhysRevA.59.1070","volume":"59","author":"CH Bennett","year":"1999","unstructured":"Bennett, C.H., DiVincenzo, D.P., Fuchs, C.A., Mor, T., Rains, E., Shor, P.W., Smolin, J.A., Wootters, W.K.: Quantum nonlocality without entanglement. Phys. Rev. A 59, 1070 (1999)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03260-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-021-03260-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-021-03260-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,8]],"date-time":"2023-02-08T18:58:01Z","timestamp":1675882681000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-021-03260-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11]]},"references-count":44,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2021,11]]}},"alternative-id":["3260"],"URL":"https:\/\/doi.org\/10.1007\/s11128-021-03260-4","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"type":"print","value":"1570-0755"},{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2021,11]]},"assertion":[{"value":"12 November 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 September 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 November 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"372"}}