Experimental demonstration of information to energy conversion in a quantum system at the Landauer limit
Open accessAbstract
Landauer’s principle sets fundamental thermodynamical constraints for classical and quantum information processing, thus affecting not only various branches of physics, but also of computer science and engineering. Despite its importance, this principle was only recently experimentally considered for classical systems. Here we employ a nuclear magnetic resonance set-up to experimentally address the information to energy conversion in a quantum system. Specifically, we consider a three nuclear spins S = 1 2 (qubits) molecule—the system, the reservoir and the ancilla—to measure the heat dissipated during the implementation of a global system–reservoir unitary interaction that changes the information content of the system. By employing an interferometric technique, we were able to reconstruct the heat distribution associated with the unitary interaction. Then, through quantum state tomography, we measured the relative change in the entropy of the system. In this way, we were able to verify that an operation that changes the information content of the system must necessarily generate heat in the reservoir, exactly as predicted by Landauer’s principle. The scheme presented here allows for the detailed study of irreversible entropy production in quantum information processors.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Several other experiments have tested and verified Landauer's bound in classical and quantum settings.
“Since then several other experiments have tested and verified equation (150) in a variety of settings both classical and quantum [273][274][275][276].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [274]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Quantum Computation and Quantum Information: 10th Anniversary Edition
Nielsen, M. A., & Chuang, I. L. (2012) · doi:10.1017/cbo9780511976667 · Cited by 8,436 · see citing works
Irreversibility and heat generation in the computing process
Landauer, R. (1961) · IBM Journal of Research and Development · doi:10.1147/rd.53.0183 · Cited by 4,980 · see citing works
Logical Reversibility of Computation
Bennett, C. H. (1973) · IBM Journal of Research and Development · doi:10.1147/rd.176.0525 · Cited by 3,679 · see citing works
Stochastic thermodynamics, fluctuation theorems and molecular machines
Seifert, U. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/12/126001 · Cited by 3,300 · see citing works
Irreversibility and heat generation in the computing process
Landauer, R. W. (2000) · IBM Journal of Research and Development · doi:10.1147/rd.441.0261 · Cited by 2,617 · see citing works
Khaneja, N., Reiss, T., Kehlet, C., Schulte-Herbrüggen, T., & Glaser, S. J. (2005) · Journal of Magnetic Resonance · doi:10.1016/j.jmr.2004.11.004 · Cited by 1,854 · see citing works
Bulk Spin-Resonance Quantum Computation
Gershenfeld, N. A., & Chuang, I. L. (1997) · Science · doi:10.1126/science.275.5298.350 · Cited by 1,528 · see citing works
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
Esposito, M., Harbola, U., & Mukamel, S. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1665 · Cited by 1,414 · see citing works
Colloquium: Quantum fluctuation relations: Foundations and applications
Campisi, M., Peter Hänggi, A., & Peter Talkner, A. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.771 · Cited by 1,278 · see citing works
�ber die Entropieverminderung in einem thermodynamischen System bei Eingriffen intelligenter Wesen
Szilard, L. (1929) · The European Physical Journal A · doi:10.1007/bf01341281 · Cited by 1,259 · see citing works
Experimental verification of Landauer’s principle linking information and thermodynamics
Bérut, A., Arakelyan, A., Petrosyan, A., Ciliberto, S., Dillenschneider, R., & Lutz, E. (2012) · Nature · doi:10.1038/nature10872 · Cited by 1,248 · see citing works
Ensemble quantum computing by NMR spectroscopy
Cory, D. G., Fahmy, A. F., & Havel, T. F. (1997) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.94.5.1634 · Cited by 964 · see citing works
Sekimoto, K. (2010) · Lecture notes in physics · doi:10.1007/978-3-642-05411-2 · Cited by 962 · see citing works
Toyabe, S., Sagawa, T., Ueda, M., Muneyuki, E., & Sano, M. (2010) · Nature Physics · doi:10.1038/nphys1821 · Cited by 957 · see citing works
Vinjanampathy, S., & Anders, J. (2016) · Contemporary Physics · doi:10.1080/00107514.2016.1201896 · Cited by 940 · see citing works
Fluctuation theorems: Work is not an observable
Talkner, P., Lutz, E., & Hänggi, P. (2007) · Physical Review E · doi:10.1103/physreve.75.050102 · Cited by 753 · see citing works
Colloquium : The physics of Maxwell’s demon and information
Maruyama, K., Nori, F., & Vedral, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1 · Cited by 612 · see citing works
Entropy production as correlation between system and reservoir
Esposito, M., Lindenberg, K., & den Broeck, C. V. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/1/013013 · Cited by 447 · see citing works
High-precision test of Landauer’s principle in a feedback trap
Jun, Y., Gavrilov, M., & Bechhoefer, J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.190601 · Cited by 428 · see citing works
Experimental realization of a Szilard engine with a single electron
Koski, J., Maisi, V. F., Pekola, J. P., & Averin, D. V. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1406966111 · Cited by 415 · see citing works
Second law and Landauer principle far from equilibrium
Esposito, M., & den Broeck, C. V. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/95/40004 · Cited by 385 · see citing works
Batalhão, T. B., Souza, A. M., Mazzola, L., Auccaise, R., Sarthour, R. S., Oliveira, I. S., Goold, J., Chiara, G. D., Paternostro, M., & Serra, R. M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.140601 · Cited by 361 · see citing works
Self-citationMaxwell's Demon 2 Entropy, Classical and Quantum Information, Computing
Leff, H. S., & Rex, A. F. (2002) · CRC Press eBooks · doi:10.1201/9781420033991 · Cited by 329 · see citing works
Extracting Quantum Work Statistics and Fluctuation Theorems by Single-Qubit Interferometry
Dorner, R., Clark, S. R. L., Heaney, L. G., Rosario Fazio, B., Goold, J., & Vedral, V. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.230601 · Cited by 311 · see citing works
Self-citationAn improved Landauer principle with finite-size corrections
Reeb, D., & Wolf, M. M. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/10/103011 · Cited by 307 · see citing works
An algorithmic benchmark for quantum information processing
Knill, E., Laflamme, R., Martinez, R., & Tseng, C.-H. (2000) · Nature · doi:10.1038/35006012 · Cited by 290 · see citing works
Measuring the Characteristic Function of the Work Distribution
Mazzola, L., Chiara, G. D., & Paternostro, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.230602 · Cited by 252 · see citing works
Foundations of Statistical Mechanics: A Deductive Treatment
Penrose, O. (2005) · Cited by 168 · see citing works
Kinetic Theory of the Dissipation of Energy
THOMSON, W. J. (1874) · Nature · doi:10.1038/009441c0 · Cited by 168 · see citing works
Liquid-state nuclear magnetic resonance as a testbed for developing quantum control methods
Ryan, C. A., Negrevergne, C., Laforest, M., Knill, E. H., & Laflamme, R. (2008) · Physical Review A · doi:10.1103/physreva.78.012328 · Cited by 141 · see citing works
Nonequilibrium Quantum Landauer Principle
Goold, J., Paternostro, M., & Modi, K. K. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.060602 · Cited by 128 · see citing works
Self-citationQuantum Computation and Quantum InformationPreprint
Wang, Y. (2016) · Cited by 128 · see citing works
NMR Quantum Information Processing
Ramanathan, R., Boulant, N., Chen, Z., Cory, D. G., Chuang, I. L., & Steffen, M. (2007) · Elsevier eBooks · doi:10.1016/b978-0-444-52782-0.x5000-3 · Cited by 104 · see citing works
Experimental Test of Landauer's Principle at the Sub-kBT Level
Orlov, A. O., Lent, C. S., Thorpe, C. C., Boechler, G. P., & Snider, G. L. (2012) · Japanese Journal of Applied Physics · doi:10.1143/jjap.51.06fe10 · Cited by 95 · see citing works
Digital quantum simulation of the statistical mechanics of a frustrated magnet
Zhang, J., Yung, M., Laflamme, R., Aspuru‐Guzik, A., & Baugh, J. (2012) · Nature Communications · doi:10.1038/ncomms1860 · Cited by 58 · see citing works
Measuring the heat exchange of a quantum process
Goold, J., Poschinger, U., & Modi, K. (2014) · Physical Review E · doi:10.1103/physreve.90.020101 · Cited by 52 · see citing works
Self-citationExperimental magic state distillation for fault-tolerant quantum computing
Souza, A. M., Zhang, J., Ryan, C. A., & Laflamme, R. (2011) · Nature Communications · doi:10.1038/ncomms1166 · Cited by 51 · see citing works
Self-citationExperimental Test of Landauer's Principle at the Sub-kBTLevel
Orlov, A. O., Lent, C. S., Thorpe, C. C., et al. (2012) · Japanese Journal of Applied Physics · doi:10.7567/jjap.51.06fe10 · Cited by 47 · see citing works
Preston, T. W., & Cotter, J. R. (2010) · Cited by 42 · see citing works
Compiling gate networks on an Ising quantum computer
Bowdrey, M. D., Jones, J. A., Knill, E., & Laflamme, R. (2005) · Physical Review A · doi:10.1103/physreva.72.032315 · Cited by 31 · see citing works
Experimental implementation of a nonthermalizing quantum thermometer
Raitz, C., Souza, A. M., Auccaise, R., Sarthour, R. S., & Oliveira, I. S. (2014) · Quantum Information Processing · doi:10.1007/s11128-014-0858-z · Cited by 24 · see citing works
Self-citationEmergence of a fluctuation relation for heat in typical open quantum processesPreprint
Taranto, P., Pollock, F. A., & Modi, K. (2015) · arXiv (Cornell University) · Cited by 1 · see citing works
Self-citation
Flagged first, then by citations
1 of the 43 references couldn’t be matched to a known paper.
Research works printed but not linked: 1
- [31]Oliveira IS, Bonagamba TJ, Sarthour RS, Freitas JCC, de Azevedo RR. 2007 NMRquantum information processing . Amsterdam: Elsevier.
Cited by
Sorted by citations
The role of quantum information in thermodynamics—a topical review
Goold, J., Huber, M., Riera, A., del Rio, L., & Skrzypczyk, P. (2016) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/49/14/143001 · Cited by 909 · see citing works
Self-citationQuantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Deffner, S., & Campbell, S. (2017) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/aa86c6 · Cited by 585 · see citing works
Irreversible entropy production: From classical to quantum
Landi, G. T., & Paternostro, M. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.035008 · Cited by 388 · see citing works
Quantum and Information Thermodynamics: A Unifying Framework Based on Repeated Interactions
Strasberg, P., Schaller, G., Brandes, T., & Esposito, M. (2017) · Physical Review X · doi:10.1103/physrevx.7.021003 · Cited by 378 · see citing works
Experimental Rectification of Entropy Production by Maxwell’s Demon in a Quantum System
Camati, P. A., Peterson, J. P. S., Batalhão, T. B., Micadei, K., Souza, A. M., Sarthour, R. S., Oliveira, I. S., & Serra, R. M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.240502 · Cited by 165 · see citing works
Self-citationStrasberg, P., & Winter, A. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.030202 · Cited by 133 · see citing works
Large work extraction and the Landauer limit in a continuous Maxwell demon
Ribezzi‐Crivellari, M., & Ritort, F. (2019) · Nature Physics · doi:10.1038/s41567-019-0481-0 · Cited by 132 · see citing works
Quantum engines and refrigerators
Cangemi, L. M., Bhadra, C., & Levy, A. (2024) · Physics Reports · doi:10.1016/j.physrep.2024.07.001 · Cited by 100 · see citing works
Implications of non-Markovian quantum dynamics for the Landauer bound
Pezzutto, M., Paternostro, M., & Omar, Y. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/12/123018 · Cited by 90 · see citing works
Erasure without Work in an Asymmetric Double-Well Potential
Gavrilov, M. M., & Bechhoefer, J. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.200601 · Cited by 76 · see citing works
Quantum Fluctuations Hinder Finite-Time Information Erasure near the Landauer Limit
Miller, H. J. D., Guarnieri, G., Mitchison, M. T., & Goold, J. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.160602 · Cited by 74 · see citing works
Self-citationDirect measurement of weakly nonequilibrium system entropy is consistent with Gibbs–Shannon form
Gavrilov, M. M., Chétrite, R., & Bechhoefer, J. (2017) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1708689114 · Cited by 70 · see citing works
Quantum Stochastic Thermodynamics
Strasberg, P. (2022) · doi:10.1093/oso/9780192895585.001.0001 · Cited by 65 · see citing works
Universal Bound on Energy Cost of Bit Reset in Finite Time
Zhen, Y.-Z., Egloff, D., Modi, K. K., & Dahlsten, O. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.190602 · Cited by 63 · see citing works
Self-citationRole of quantum coherence in the thermodynamics of energy transfer
Henao, I., & Serra, R. M. (2018) · Physical review. E · doi:10.1103/physreve.97.062105 · Cited by 56 · see citing works
Energetic cost of Hamiltonian quantum gates
Deffner, S. (2021) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/134/40002 · Cited by 50 · see citing works
Experimental extractable work-based multipartite separability criteria
Ciampini, M. A., Mancino, L., Orieux, A., Vigliar, C., Mataloni, P., Paternostro, M., & Barbieri, M. (2017) · npj Quantum Information · doi:10.1038/s41534-017-0011-9 · Cited by 49 · see citing works
Landauer’s Principle at Zero Temperature
Timpanaro, A. M., Santos, J. P., & Landi, G. T. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.240601 · Cited by 49 · see citing works
Reversible work extraction in a hybrid opto-mechanical system
Elouard, C., Richard, M., & Auffèves, A. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/5/055018 · Cited by 47 · see citing works
Tavakoli, A., & Cabello, A. (2018) · Physical Review A · doi:10.1103/physreva.97.032131 · Cited by 44 · see citing works
Non-equilibrium thermodynamics of harmonically trapped bosons
García-March, M. Á., Fogarty, T., Campbell, S., Busch, T., & Paternostro, M. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/10/103035 · Cited by 42 · see citing works
Experimental Assessment of Entropy Production in a Continuously Measured Mechanical Resonator
Rossi, M., Mancino, L., Landi, G. T., Paternostro, M., Schließer, A., & Belenchia, A. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.080601 · Cited by 38 · see citing works
Pal, S., Mahesh, T. S., & Agarwalla, B. K. (2019) · Physical Review A · doi:10.1103/physreva.100.042119 · Cited by 36 · see citing works
Stochastic thermodynamics of quantum maps with and without equilibrium
Barra, F., & Lledó, C. (2017) · Physical review. E · doi:10.1103/physreve.96.052114 · Cited by 34 · see citing works
Consciousness in the Universe is Scale Invariant and Implies an Event Horizon of the Human Brain
Meijer, D. K. F., & Geesink, H. J. H. (2017) · NeuroQuantology · doi:10.14704/nq.2017.15.3.1079 · Cited by 32 · see citing works
All States are Universal Catalysts in Quantum Thermodynamics
Lipka-Bartosik, P., & Skrzypczyk, P. (2021) · Physical Review X · doi:10.1103/physrevx.11.011061 · Cited by 32 · see citing works
Minimally Dissipative Information Erasure in a Quantum Dot via Thermodynamic Length
Scandi, M., Barker, D. C., Lehmann, S., Dick, K. A., Maisi, V. F., & Perarnau-Llobet, M. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.270601 · Cited by 31 · see citing works
Funo, K., Ueda, M., & Sagawa, T. (2018) · Fundamental theories of physics · doi:10.1007/978-3-319-99046-0_10 · Cited by 30 · see citing works
Landauer principle and thermodynamics of computation
Chattopadhyay, P., Misra, A., Pandit, T., & Paul, G. (2025) · Reports on Progress in Physics · doi:10.1088/1361-6633/add6b3 · Cited by 26 · see citing works
The thermodynamic cost of quantum operations
Bedingham, D. J., & Maroney, O. J. E. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/11/113050 · Cited by 25 · see citing works
Full counting statistics approach to the quantum non-equilibrium Landauer bound
Guarnieri, G., Campbell, S., Goold, J., Pigeon, S., Vacchini, B., & Paternostro, M. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa8cf1 · Cited by 25 · see citing works
Self-citationMinimal energy cost to initialize a bit with tolerable error
Ma, Y., Chen, J., Sun, C. P., & Dong, H. (2022) · Physical review. E · doi:10.1103/physreve.106.034112 · Cited by 23 · see citing works
Reconstructing quantum entropy production to probe irreversibility and correlations
Gherardini, S., Müller, M. M., Trombettoni, A., Ruffo, S., & Caruso, F. (2018) · Quantum Science and Technology · doi:10.1088/2058-9565/aac7e1 · Cited by 22 · see citing works
DFT-inspired methods for quantum thermodynamics
Herrera, M., Serra, R. M., & D’Amico, I. (2017) · Scientific Reports · doi:10.1038/s41598-017-04478-y · Cited by 21 · see citing works
Exploring quantum thermodynamics with NMR
Vieira, C. H. S., de Oliveira, J. L. D., Santos, J. F. G., Dieguez, P. R., & Serra, R. M. (2023) · Journal of Magnetic Resonance Open · doi:10.1016/j.jmro.2023.100105 · Cited by 20 · see citing works
Bormashenko, E. Y. (2024) · Entropy · doi:10.3390/e26050423 · Cited by 20 · see citing works
Work extraction and Landauer's principle in a quantum spin Hall device
Bozkurt, A. M., Pekerten, B., & Adagideli, İ. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.245414 · Cited by 20 · see citing works
Entropy production and fluctuations in a Maxwell’s refrigerator with squeezing
Manzano, G. (2018) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2018-00093-9 · Cited by 19 · see citing works
Experimental entanglement-enhanced work extraction based on a Maxwell’s demon
Ciampini, M. A., Mancino, L., Orieux, A., Vigliar, C., Paternostro, M., Mataloni, P., & Barbieri, M. (2016) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_qels.2016.ftu4d.7 · Cited by 18 · see citing works
Thermodynamic Principle for Quantum Metrology
Chu, Y., & Cai, J. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.200501 · Cited by 18 · see citing works
Controlling NMR spin systems for quantum computation
Jones, J. A. (2024) · Progress in Nuclear Magnetic Resonance Spectroscopy · doi:10.1016/j.pnmrs.2024.02.002 · Cited by 18 · see citing works
Enhanced Photonic Maxwell's Demon with Correlated Baths
Zanin, G. L., Antesberger, M., Jacquet, M. J., Ribeiro, P. H. S., Rozema, L. A., & Walther, P. J. (2022) · Quantum · doi:10.22331/q-2022-09-20-810 · Cited by 17 · see citing works
A Friendly Guide to Exorcising Maxwell’s Demon
de Oliveira, A., Brask, J. B., & Chaves, R. (2025) · PRX Quantum · doi:10.1103/phkv-wrsd · Cited by 16 · see citing works
Minimising the heat dissipation of quantum information erasure
Mohammady, M., Mohseni, M., & Omar, Y. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/1/015011 · Cited by 16 · see citing works
Experimental study of the generalized Jarzynski fluctuation relation using entangled photons
Ribeiro, P. H. S., Häffner, T., Zanin, G. L., da Silva, N. R., de Araújo, R. M., Soares, W. C., de Assis, R. J., Céleri, L. C., & Forbes, A. (2020) · Physical Review A · doi:10.1103/physreva.101.052113 · Cited by 16 · see citing works
Self-citationSecond Law, Entropy Production, and Reversibility in Thermodynamics of Information
Sagawa, T. (2018) · Springer eBooks · doi:10.1007/978-3-319-93458-7_3 · Cited by 15 · see citing works
Experimental Quantum Thermodynamics with Linear Optics
Zanin, G. L., Häffner, T., Talarico, M. A. A., Duzzioni, E. I., Ribeiro, P. H. S., Landi, G. T., & Céleri, L. C. (2019) · Brazilian Journal of Physics · doi:10.1007/s13538-019-00700-6 · Cited by 15 · see citing works
Self-citationMeijer, D. K. F., Jerman, I., Melkikh, A. V., & Sbitnev, V. I. (2020) · Studies in Rhythm Engineering · doi:10.1007/978-981-15-7253-1_8 · Cited by 14 · see citing works
Second law of thermodynamics for batteries with vacuum state
Lipka-Bartosik, P., Mazurek, P., & Horodecki, M. (2021) · Quantum · doi:10.22331/q-2021-03-10-408 · Cited by 14 · see citing works
Feedback traps for virtual potentials
Gavrilov, M., & Bechhoefer, J. (2017) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2016.0217 · Cited by 13 · see citing works
Nonequilibrium quantum bounds to Landauer's principle: Tightness and effectiveness
Campbell, S., Guarnieri, G., Paternostro, M., & Vacchini, B. (2017) · Physical Review A · doi:10.1103/physreva.96.042109 · Cited by 13 · see citing works
Erasure Without Work in an Asymmetric, Double-Well Potential
Gavrilov, M. M. (2017) · Springer theses · doi:10.1007/978-3-319-63694-8_5 · Cited by 12 · see citing works
Antidynamical Casimir effect as a resource for work extraction
Dodonov, A. V., Valente, D., & Werlang, T. (2017) · Physical Review A · doi:10.1103/physreva.96.012501 · Cited by 11 · see citing works
Rico-Pastó, M., Schmitt, R. K., Ribezzi‐Crivellari, M., Parrondo, J. M. R., Linke, H., Johansson, J., & Ritort, F. (2021) · Physical Review X · doi:10.1103/physrevx.11.031052 · Cited by 11 · see citing works
Fluctuation theorem for nonunital dynamics
Goold, J., & Modi, K. K. (2021) · AVS Quantum Science · doi:10.1116/5.0065123 · Cited by 11 · see citing works
Self-citationÇetiner, U., Raz, O., Britt, M., & Sukharev, S. (2023) · Entropy · doi:10.3390/e25050779 · Cited by 11 · see citing works
Vallejo, A., Romanelli, A., & Donangelo, R. (2021) · Physical review. E · doi:10.1103/physreve.103.042105 · Cited by 10 · see citing works
Gauge-Invariant Quantum Thermodynamics: Consequences for the First Law
Céleri, L. C., & Rudnicki, Ł. (2024) · Entropy · doi:10.3390/e26020111 · Cited by 10 · see citing works
Self-citationMelting a Hubbard dimer: benchmarks of ‘ALDA’ for quantum thermodynamics
Herrera, M., Zawadzki, K., & D’Amico, I. (2018) · The European Physical Journal B · doi:10.1140/epjb/e2018-90186-5 · Cited by 10 · see citing works
Work extraction, information-content and the Landauer bound in the continuous Maxwell Demon
Ribezzi‐Crivellari, M., & Ritort, F. (2019) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/ab3340 · Cited by 10 · see citing works
Transforming pure and mixed states using an NMR quantum homogenizer
Violaris, M., Bhole, G., Jones, J. A., Vedral, V., & Marletto, C. (2021) · Physical Review A · doi:10.1103/physreva.103.022414 · Cited by 10 · see citing works
Nonequilibrium Thermodynamics Approaches
Demi̇rel, Y., & Gerbaud, V. (2019) · Elsevier eBooks · doi:10.1016/b978-0-444-64112-0.00014-9 · Cited by 10 · see citing works
Easy Access to Energy Fluctuations in Nonequilibrium Quantum Many-Body Systems
Herrera, M., Peterson, J. P. S., Serra, R. M., & D’Amico, I. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.030602 · Cited by 8 · see citing works
Self-citationInverse linear versus exponential scaling of work penalty in finite-time bit reset
Zhen, Y.-Z., Egloff, D., Modi, K. K., & Dahlsten, O. (2022) · Physical review. E · doi:10.1103/physreve.105.044147 · Cited by 8 · see citing works
Self-citationVerifying detailed fluctuation relations for discrete feedback-controlled quantum dynamics
Camati, P. A., & Serra, R. M. (2018) · Physical Review A · doi:10.1103/physreva.97.042127 · Cited by 8 · see citing works
Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes
Taranto, P., Modi, K. K., & Pollock, F. A. (2018) · Physical review. E · doi:10.1103/physreve.97.052111 · Cited by 8 · see citing works
Self-citationAverin, D. V., & Pekola, J. P. (2017) · physica status solidi (b) · doi:10.1002/pssb.201600677 · Cited by 7 · see citing works
Hamiltonian memory: An erasable classical bit
Holtzman, R., Arwas, G., & Raz, O. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.013232 · Cited by 7 · see citing works
Benoist, T., Fraas, M., Jaksic, V., & Pillet, C. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1602.00051 · Cited by 7 · see citing works
Implementation of a Quantum Engine Fuelled by InformationPreprint
Peterson, J. P. S., Sarthour, R. S., & Laflamme, R. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2006.10136 · Cited by 7 · see citing works
Self-citationTopological information device operating at the Landauer limit
Bozkurt, A. M., Brinkman, A., & Adagideli, İ. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.235428 · Cited by 6 · see citing works
Spin-Based Quantum Energy Devices: From Quantum Thermal Machines to Quantum Batteries
Chand, S., Grazi, R., Ziani, N. T., & Ferraro, D. (2026) · Entropy · doi:10.3390/e28040396 · Cited by 5 · see citing works
From Information and Quantum Physics to Consciousness and Reality
Verheyen, P. (2021) · Sci · doi:10.3390/sci3040035 · Cited by 5 · see citing works
On Quantum Fluctuations Relations with Generalized Energy Measurements
Rastegin, A. E. (2018) · International Journal of Theoretical Physics · doi:10.1007/s10773-018-3671-0 · Cited by 5 · see citing works
Wang, R. L. C. (2022) · Journal of Information Science · doi:10.1177/01655515221141040 · Cited by 4 · see citing works
Inferring general links between energetics and information with unknown environment
Liu, J., Lu, J., Wang, C., & Jiang, J. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.033202 · Cited by 4 · see citing works
Universal Landauer-like inequality from the first law of thermodynamics
Liu, J., & Nie, H. (2023) · Physical Review A · doi:10.1103/physreva.108.l040203 · Cited by 4 · see citing works
Lower bounds for the mean dissipated heat in an open quantum system
Hashimoto, K., Vacchini, B., & Uchiyama, C. (2020) · Physical Review A · doi:10.1103/physreva.101.052114 · Cited by 4 · see citing works
The Absolute Smallest Possible Money Unit! When Money Crashes into the Laws of Physics
Haug, E. G. (2019) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2020.125143 · Cited by 4 · see citing works
Molecular Machines for Quantum Error Correction
Guerreiro, T. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.030336 · Cited by 4 · see citing works
Chatzidimitriou‐Dreismann, C. A. (2020) · Recent Progress in Materials · doi:10.21926/rpm.2002015 · Cited by 4 · see citing works
Noise as a resourcePreprint
Gherardini, S. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1805.01800 · Cited by 4 · see citing works
Effect of Quantum Coherence on Landauer’s Principle
Hashimoto, K., & Uchiyama, C. (2022) · Entropy · doi:10.3390/e24040548 · Cited by 3 · see citing works
Finite time measurements by Unruh–DeWitt detector and Landauer’s principle
Shevchenko, V. I. (2017) · Annals of Physics · doi:10.1016/j.aop.2017.03.014 · Cited by 3 · see citing works
Non-Hermitian quantum gates are more common than Hermitian quantum gatesPreprint
Pathak, A. (2013) · arXiv (Cornell University) · Cited by 3 · see citing works
The extraction of work from hidden degrees of freedom
Lokesh, M., Ginot, F., Loos, S. A. M., & Bechinger, C. (2026) · Nature Physics · doi:10.1038/s41567-026-03442-w · Cited by 2 · see citing works
Qubit reset with a shortcut-to-isothermal scheme
Huang, H., Li, G., & Dong, H. (2024) · Physical review. E · doi:10.1103/physreve.109.064132 · Cited by 2 · see citing works
Yüksel, A. (2022) · Seyahat ve Otel İşletmeciliği Dergisi · doi:10.24010/soid.1163449 · Cited by 2 · see citing works
Thermodynamics of ancilla-assisted erasure of quantum information
Neto, C. O. A. R., & Bernardo, B. D. L. (2025) · Quantum Information Processing · doi:10.1007/s11128-025-04770-1 · Cited by 2 · see citing works
Entropy production in the quantum walk
Vallejo, A., Romanelli, A., Donangelo, R., & Portugal, R. (2019) · Physical Review A · doi:10.1103/physreva.99.032319 · Cited by 2 · see citing works
Statistical distribution of the reversible gates: what percentage of them are self-inverse?Preprint
Pathak, A. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1309.4037 · Cited by 2 · see citing works
Quantum Collapse and Computation in an Everett Multiverse
Tamburini, F., & Licata, I. F. (2024) · Entropy · doi:10.3390/e26121068 · Cited by 1 · see citing works
Paule, G. M. (2018) · Springer theses · doi:10.1007/978-3-319-93964-3_3 · Cited by 1 · see citing works
Coupled and Hidden Degrees of Freedom in Stochastic ThermodynamicsPreprint
Ehrich, J. (2020) · arXiv (Cornell University) · doi:10.13140/rg.2.2.27598.48968 · Cited by 1 · see citing works
On the energetic analysis of autonomous quantum systems
Malavazi, A. H. A. (2022) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/t.76.2022.tde-17082022-092344 · Cited by 1 · see citing works
Carnot's theorem and Szilárd enginePreprint
Shu, L., Liu, X., Huang, S., & Jin, S. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1611.08014
Informational Work Storage in Quantum Thermodynamics
Wang, S.-Y. (2019) · Quantum Reports · doi:10.3390/quantum1010005
Eight Oxford Questions: Quantum Mechanics Under a New Light
Ares, N., Pearson, A., & Briggs, G. A. D. (2020) · Fundamental theories of physics · doi:10.1007/978-3-030-46777-7_25
Delhaès, P. (2017) · Wiley eBooks · doi:10.1002/9781119425540.biblio
Krylov, G., & Friedman, E. G. (2021) · Springer eBooks · doi:10.1007/978-3-030-76885-0_3
- Authors
- Peterson, J. P. S., Sarthour, R. S., Souza, A. M., Oliveira, I. S., Goold, J., Modi, K., Soares-Pinto, D. O., & Céleri, L. C.
- Affiliations
- Centro Brasileiro de Pesquisas Físicas (BR)
- The Abdus Salam International Centre for Theoretical Physics (ICTP) (IT)
- Monash University (AU)
- Universidade de São Paulo (BR)
- Universidade Federal de Goiás (BR)
- Venue
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Publisher
- The Royal Society
- Published
- 2016-04
- Volume
- 472
- Issue
- 2188
- Pages
- 20150813
- ISSN
- 1364-5021 (ISSN-L)
- 1471-2946
- PMC
- PMC4891656
- OpenAlex
- W1544094034
- Cited by
- 132
- References
- 43
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 9 · 2023: 12 · 2022: 22 · 2021: 15 · 2020: 13 · 2019: 8 · 2018: 13 · 2017: 19 · 2016: 10 · 2015: 1 · 2013: 2
- FWCI
- 9.33
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- COST Action MP1209
- Fundação Estadual de Amparo à Pesquisa do Rio de Janeiro
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- Landauer's principle, information-to-energy conversion, quantum thermodynamics, heat dissipation, irreversible entropy production, nuclear spin qubits, system-reservoir interaction, quantum state tomography, nuclear magnetic resonance
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
