Optimal state pairs for non-Markovian quantum dynamics
Open accessAbstract
We study a recently proposed measure for the quantification of quantum non-Markovianity in the dynamics of open systems which is based on the exchange of information between the open system and its environment. This measure relates the degree of memory effects to certain optimal initial state pairs featuring a maximal flow of information from the environment back to the open system. We rigorously prove that the states of these optimal pairs must lie on the boundary of the space of physical states and that they must be orthogonal. This implies that quantum memory effects are maximal for states which are initially distinguishable with certainty, having a maximal information content. Moreover, we construct an explicit example which demonstrates that optimal quantum states need not be pure states.
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?
The more pronounced oscillations observed for N=4 indicate higher non-Markovianity.
“As shown in Figure 6, for N=4, we observe more pronounced oscillations, indicating higher non-Markovianity.”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [117]
The increase in trace distance between the two states indicates a backflow of information from the environment (buffer network) to the system.
“This increase indicates a backflow of information from the environment (buffer network) to the system.”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [117]
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
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,449 · see citing works
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · see citing works
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938 · see citing works
Self-citationCompletely positive dynamical semigroups of <i>N</i> -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998 · see citing works
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
Breuer, H.-P., Laine, E.-M., & Piilo, J. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.210401 · Cited by 1,480 · see citing works
Self-citationEntanglement and Non-Markovianity of Quantum Evolutions
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.050403 · Cited by 1,037 · see citing works
Assessing Non-Markovian Quantum Dynamics
Wolf, M. M., Eisert, J., Cubitt, T. S., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.150402 · Cited by 596 · see citing works
Liu, B.-H., Li, L., Huang, Y.-F., Li, C.-F., Guo, G.-C., Laine, E.-M., Breuer, H.-P., & Piilo, J. (2011) · Nature Physics · doi:10.1038/nphys2085 · Cited by 574 · see citing works
Self-citationQuantum Fisher information flow and non-Markovian processes of open systems
Lu, X.-M., Wang, X., & Sun, C. P. (2010) · Physical Review A · doi:10.1103/physreva.82.042103 · Cited by 534 · see citing works
Measure for the non-Markovianity of quantum processes
Laine, E.-M., Piilo, J., & Breuer, H.-P. (2010) · Physical Review A · doi:10.1103/physreva.81.062115 · Cited by 484 · see citing works
Self-citationPiilo, J., Maniscalco, S., Härkönen, K., & Suominen, K. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.180402 · Cited by 317 · see citing works
Self-citationVanishing Quantum Discord is Necessary and Sufficient for Completely Positive Maps
Shabani, A., & Lidar, D. A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.100402 · Cited by 309 · see citing works
Non-Markovian Quantum Dynamics: Local versus Nonlocal
Chruściński, D., & Kossakowski, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.070406 · Cited by 261 · see citing works
The Mathematical Language of Quantum Theory
Heinosaari, T., & Ziman, M. (2011) · Cambridge University Press eBooks · doi:10.1017/cbo9781139031103 · Cited by 247 · see citing works
Non-Markovianity-Assisted Steady State Entanglement
Huelga, S. F., Rivas, Á., & Plenio, M. B. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.160402 · Cited by 203 · see citing works
Markovianity and non-Markovianity in quantum and classical systems
Vacchini, B., Smirne, A., Laine, E.-M., Piilo, J., & Breuer, H.-P. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/9/093004 · Cited by 198 · see citing works
Self-citationBEYOND STRONG SUBADDITIVITY? IMPROVED BOUNDS ON THE CONTRACTION OF GENERALIZED RELATIVE ENTROPY
Ruskai, M. B. (1994) · Reviews in Mathematical Physics · doi:10.1142/s0129055x94000407 · Cited by 161 · see citing works
Quantifying, characterizing, and controlling information flow in ultracold atomic gases
Haikka, P., McEndoo, S., De Chiara, G., Palma, G. M., & Maniscalco, S. (2011) · Physical Review A · doi:10.1103/physreva.84.031602 · Cited by 141 · see citing works
Measuring non-Markovianity of processes with controllable system-environment interaction
Tang, J.-S., Li, C.-F., Li, Y.-L., Zou, X.-B., Guo, G.-C., Breuer, H.-P., Laine, E.-M., & Piilo, J. (2012) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/97/10002 · Cited by 127 · see citing works
Self-citationBreuer, H.-P., & Vacchini, B. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.140402 · Cited by 126 · see citing works
Self-citationNon-Markovianity, Loschmidt echo, and criticality: A unified picture
Haikka, P., Goold, J., McEndoo, S., Plastina, F., & Maniscalco, S. (2012) · Physical Review A · doi:10.1103/physreva.85.060101 · Cited by 122 · see citing works
Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
Apollaro, T. J. G., Di Franco, C., Plastina, F., & Paternostro, M. (2011) · Physical Review A · doi:10.1103/physreva.83.032103 · Cited by 106 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- [21]M. Hayashi, Quantum Information (Springer-Verlag, Berlin, 2006).
Cited by
Sorted by citations
Colloquium : Non-Markovian dynamics in open quantum systems
Breuer, H., Laine, E.-M., Piilo, J., & Vacchini, B. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021002 · Cited by 1,386 · see citing works
Self-citationDynamics of non-Markovian open quantum systems
de Vega, I., & Alonso, D. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015001 · Cited by 1,227 · see citing works
Quantum non-Markovianity: characterization, quantification and detection
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/094001 · Cited by 1,035 · see citing works
Geometrical characterization of non-Markovianity
Lorenzo, S., Plastina, F., & Paternostro, M. (2013) · Physical Review A · doi:10.1103/physreva.88.020102 · Cited by 258 · see citing works
Quantum speedup in a memory environment
Xu, Z.-Y., Luo, S., Yang, W. L., Liu, C., & Zhu, S. (2014) · Physical Review A · doi:10.1103/physreva.89.012307 · Cited by 156 · see citing works
Comparative study of non-Markovianity measures in exactly solvable one- and two-qubit models
Addis, C., Bylicka, B., Chruściński, D., & Maniscalco, S. (2014) · Physical Review A · doi:10.1103/physreva.90.052103 · Cited by 151 · see citing works
Quantum Information and Algorithms for Correlated Quantum Matter
Head-Marsden, K., Flick, J., Ciccarino, C. J., & Narang, P. (2020) · Chemical Reviews · doi:10.1021/acs.chemrev.0c00620 · Cited by 128 · see citing works
Collision model for non-Markovian quantum dynamics
Kretschmer, S., Luoma, K., & Strunz, W. T. (2016) · Physical Review A · doi:10.1103/physreva.94.012106 · Cited by 114 · see citing works
Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation
Sun, Z., Liu, J., Ma, J., & Wang, X. (2015) · Scientific Reports · doi:10.1038/srep08444 · Cited by 107 · see citing works
Dynamical maps beyond Markovian regime
Chruściński, D. (2022) · Physics Reports · doi:10.1016/j.physrep.2022.09.003 · Cited by 110 · see citing works
Quantum regression theorem and non-Markovianity of quantum dynamics
Guarnieri, G., Smirne, A., & Vacchini, B. (2014) · Physical Review A · doi:10.1103/physreva.90.022110 · Cited by 102 · see citing works
Generalized trace-distance measure connecting quantum and classical non-Markovianity
Wißmann, S., Breuer, H., & Vacchini, B. (2015) · Physical Review A · doi:10.1103/physreva.92.042108 · Cited by 101 · see citing works
Self-citationSystem-environment correlations and Markovian embedding of quantum non-Markovian dynamics
Campbell, S., Ciccarello, F., Palma, G. M., & Vacchini, B. (2018) · Physical Review A · doi:10.1103/physreva.98.012142 · Cited by 95 · 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
Harnessing non-Markovian quantum memory by environmental coupling
Man, Z., Xia, Y., & Franco, R. L. (2015) · Physical Review A · doi:10.1103/physreva.92.012315 · Cited by 92 · see citing works
A trapped-ion simulator for spin-boson models with structured environments
Lemmer, A., Cormick, C., Tamascelli, D., Schaetz, T., Huelga, S. F., & Plenio, M. B. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aac87d · Cited by 84 · see citing works
Non-Markovianity measure based on the relative entropy of coherence in an extended space
He, Z., Zeng, H., Li, Y., Wang, Q., & Yao, C. (2017) · Physical Review A · doi:10.1103/physreva.96.022106 · Cited by 75 · see citing works
An out-of-equilibrium non-Markovian quantum heat engine
Pezzutto, M., Paternostro, M., & Omar, Y. (2018) · Quantum Science and Technology · doi:10.1088/2058-9565/aaf5b4 · Cited by 69 · see citing works
Non-Markovian quantum dynamics: What does it mean?
Li, C.-F., Guo, G.-C., & Piilo, J. (2019) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/127/50001 · Cited by 68 · see citing works
Self-citationUnconventional photon blockade with non-Markovian effects in driven dissipative coupled cavities
Shen, H. Z., Yang, J.-F., & Yi, X. X. (2024) · Physical Review A · doi:10.1103/physreva.109.043714 · Cited by 62 · see citing works
Nonunital non-Markovianity of quantum dynamics
Liu, J., Lu, X.-M., & Wang, X. (2013) · Physical Review A · doi:10.1103/physreva.87.042103 · Cited by 61 · see citing works
Non-Markovian master equations from piecewise dynamics
Vacchini, B. (2013) · Physical Review A · doi:10.1103/physreva.87.030101 · Cited by 60 · see citing works
Non-Markovianity-assisted high-fidelity Deutsch–Jozsa algorithm in diamond
Dong, Y., Zheng, Y., Li, S., Li, C.-C., Chen, X.-D., Guo, G.-C., & Sun, F.-W. (2018) · npj Quantum Information · doi:10.1038/s41534-017-0053-z · Cited by 55 · see citing works
Temperature effects on quantum non-Markovianity via collision models
Man, Z., Xia, Y., & Franco, R. L. (2018) · Physical Review A · doi:10.1103/physreva.97.062104 · Cited by 53 · see citing works
Vasile, R., Galve, F., & Zambrini, R. (2014) · Physical Review A · doi:10.1103/physreva.89.022109 · Cited by 50 · see citing works
Measuring non-Markovianity based on local quantum uncertainty
He, Z., Yao, C., Wang, Q., & Zou, J. (2014) · Physical Review A · doi:10.1103/physreva.90.042101 · Cited by 51 · see citing works
Employing non-Markovian effects to improve the performance of a quantum Otto refrigerator
Camati, P. A., Santos, J. F. G., & Serra, R. M. (2020) · Physical Review A · doi:10.1103/physreva.102.012217 · Cited by 50 · see citing works
Non-Markovianity of a two-level system transversally coupled to multiple bosonic reservoirs
Man, Z., An, N. B., & Xia, Y. (2014) · Physical Review A · doi:10.1103/physreva.90.062104 · Cited by 48 · see citing works
Two-qubit non-Markovianity induced by a common environment
Addis, C., Haikka, P., McEndoo, S., Macchiavello, C., & Maniscalco, S. (2013) · Physical Review A · doi:10.1103/physreva.87.052109 · Cited by 46 · see citing works
There is no general connection between the quantum speed limit and non-Markovianity
Teittinen, J., Lyyra, H., & Maniscalco, S. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab59fe · Cited by 40 · see citing works
Effects of the rotating-wave and secular approximations on non-Markovianity
Mäkelä, H., & Möttönen, M. (2013) · Physical Review A · doi:10.1103/physreva.88.052111 · Cited by 39 · see citing works
Non-Markovian dynamics of a two-level system in the presence of hierarchical environments
Man, Z., An, N. B., & Xia, Y. (2015) · Optics Express · doi:10.1364/oe.23.005763 · Cited by 40 · see citing works
Revealing memory effects in phase-covariant quantum master equations
Teittinen, J., Lyyra, H., Sokolov, B., & Maniscalco, S. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aacc38 · Cited by 38 · see citing works
Rossi, M. A. C., & Paris, M. G. A. (2016) · The Journal of Chemical Physics · doi:10.1063/1.4939733 · Cited by 38 · see citing works
Accuracy of the Quantum Regression Theorem for Photon Emission from a Quantum Dot
Cosacchi, M., Seidelmann, T., Cygorek, M., Vagov, A., Reiter, D. E., & Axt, V. M. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.100402 · Cited by 39 · see citing works
Predicting Non-Markovian Superconducting-Qubit Dynamics from Tomographic Reconstruction
Zhang, H., Pokharel, B., Levenson-Falk, E. M., & Lidar, D. A. (2022) · Physical Review Applied · doi:10.1103/physrevapplied.17.054018 · Cited by 40 · see citing works
Synchronization and non-Markovianity in open quantum systems
Karpat, G., Yalçınkaya, İ., Çakmak, B., Giorgi, G. L., & Zambrini, R. (2021) · Physical Review A · doi:10.1103/physreva.103.062217 · Cited by 39 · see citing works
Khurana, D., Agarwalla, B. K., & Mahesh, T. S. (2019) · Physical Review A · doi:10.1103/physreva.99.022107 · Cited by 35 · see citing works
Hierarchical-environment-assisted non-Markovian speedup dynamics control
Xu, K. D., Zhang, Y.-J., Xia, Y., Wang, Z.-K., & Fan, H. (2018) · Physical Review A · doi:10.1103/physreva.98.022114 · Cited by 33 · see citing works
Entropic Bounds on Information Backflow
Megier, N., Smirne, A., & Vacchini, B. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.030401 · Cited by 36 · see citing works
Exact non-Markovian dynamics of qubits coupled to two interacting environments
Shen, H. Z., Li, D., Su, S., Zhou, Y. H., & Yi, X. X. (2017) · Physical Review A · doi:10.1103/physreva.96.033805 · Cited by 31 · see citing works
Excited-state quantum phase transition and the quantum-speed-limit time
Wang, Q., & Pérez-Bernal, F. (2019) · Physical Review A · doi:10.1103/physreva.100.022118 · Cited by 28 · see citing works
Estimating the degree of non-Markovianity using machine learning
Fanchini, F. F., Karpat, G., Rossatto, D. Z., Norambuena, A., & Coto, R. (2021) · Physical Review A · doi:10.1103/physreva.103.022425 · Cited by 25 · see citing works
Competition between memory-keeping and memory-erasing decoherence channels
Apollaro, T. J. G., Lorenzo, S., Franco, C. D., Plastina, F., & Paternostro, M. (2014) · Physical Review A · doi:10.1103/physreva.90.012310 · Cited by 28 · see citing works
Driving-induced amplification of non-Markovianity in open quantum systems evolution
Poggi, P. M., Lombardo, F. C., & Wisniacki, D. A. (2017) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/118/20005 · Cited by 29 · see citing works
Controllable dissipation of a qubit coupled to an engineering reservoir
Shen, H. Z., Xu, S., Yi, S., & Yi, X. X. (2018) · Physical Review A · doi:10.1103/physreva.98.062106 · Cited by 28 · see citing works
Information backflow as a resource for entanglement
Mirkin, N., Poggi, P. M., & Wisniacki, D. A. (2019) · Physical Review A · doi:10.1103/physreva.99.062327 · Cited by 26 · see citing works
Entangling protocols due to non-Markovian dynamics
Mirkin, N., Poggi, P. M., & Wisniacki, D. A. (2019) · Physical Review A · doi:10.1103/physreva.99.020301 · Cited by 26 · see citing works
Non-Markovian effects in the spin-boson model at zero temperature
Wenderoth, S., Breuer, H., & Thoss, M. (2021) · Physical Review A · doi:10.1103/physreva.104.012213 · Cited by 26 · see citing works
Self-citationDriving-induced amplification of non-Markovianity in open quantum systems evolution
Poggi, P. M., Lombardo, F. C., & Wisniacki, D. A. (2017) · CONICET Digital (CONICET) · Cited by 25 · see citing works
Entropic and trace-distance-based measures of non-Markovianity
Settimo, F., Breuer, H., & Vacchini, B. (2022) · Physical Review A · doi:10.1103/physreva.106.042212 · Cited by 24 · see citing works
Self-citationHeat flux and information backflow in cold environments
Schmidt, R., Maniscalco, S., & Ala-Nissilä, T. (2016) · Physical Review A · doi:10.1103/physreva.94.010101 · Cited by 23 · see citing works
Non-Markovian enhancement of nonequilibrium quantum thermometry
Aiache, Y., Seida, C., Anouz, K. E., & Allati, A. E. (2024) · Physical review. E · doi:10.1103/physreve.110.024132 · Cited by 23 · see citing works
Inhibiting the self-discharging process of quantum batteries in non-Markovian noises
Xu, K. D., Li, H.-G., Zhu, H., & Liu, W. (2024) · Physical review. E · doi:10.1103/physreve.109.054132 · Cited by 23 · see citing works
Song, Y., Tan, Q.-S., & Kuang, L. (2017) · Scientific Reports · doi:10.1038/srep43654 · Cited by 22 · see citing works
Simulation of open-quantum-system dynamics using the quantum Zeno effect
Patsch, S., Maniscalco, S., & Koch, C. P. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023133 · Cited by 21 · see citing works
Dispersive readout with non-Markovian environments
Shen, H. Z., Wang, Q., & Yi, X. X. (2022) · Physical Review A · doi:10.1103/physreva.105.023707 · Cited by 20 · see citing works
Proposed Scheme for a Cavity‐Based Quantum Battery
Hadipour, M., Haseli, S., Wang, D., & Haddadi, S. (2024) · Advanced Quantum Technologies · doi:10.1002/qute.202400115 · Cited by 23 · see citing works
Bose-Hubbard lattice as a controllable environment for open quantum systems
Cosco, F., Borrelli, M., Mendoza-Arenas, J. J., Plastina, F., Jaksch, D., & Maniscalco, S. (2018) · Physical Review A · doi:10.1103/physreva.97.040101 · Cited by 18 · see citing works
Sehdaran, F. S., Zandi, M. H., & Bahrampour, A. (2019) · Physics Letters A · doi:10.1016/j.physleta.2019.126006 · Cited by 18 · see citing works
Locality and universality of quantum memory effects
Liu, B., Wißmann, S., Hu, X., Zhang, C., Huang, Y., Li, C., Guo, G., Karlsson, A., Piilo, J., & Breuer, H. (2014) · Scientific Reports · doi:10.1038/srep06327 · Cited by 19 · see citing works
Self-citationEffects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
Wu, W., & Liu, M. (2017) · Physical Review A · doi:10.1103/physreva.96.032125 · Cited by 18 · see citing works
Ensemble of Lindblad's trajectories for non-Markovian dynamics
Head-Marsden, K., & Mazziotti, D. A. (2019) · Physical Review A · doi:10.1103/physreva.99.022109 · Cited by 18 · see citing works
Non-Markovian qubit dynamics induced by Coulomb crystals
Borrelli, M., Haikka, P., De Chiara, G., & Maniscalco, S. (2013) · Physical Review A · doi:10.1103/physreva.88.010101 · Cited by 17 · see citing works
Non-Markovianity and the Landauer principle in composite thermal environments
Zhang, Q., Man, Z., & Xia, Y. (2021) · Physical Review A · doi:10.1103/physreva.103.032201 · Cited by 16 · see citing works
Quantum speed limit for a central system in Lipkin-Meshkov-Glick bath
Hou, L., Shao, B., & Zou, J. (2016) · The European Physical Journal D · doi:10.1140/epjd/e2016-60600-5 · Cited by 17 · see citing works
Non-Markovian qubit dynamics in a circuit-QED setup
Cárdenas, P. C., Paternostro, M., & Semião, F. L. (2015) · Physical Review A · doi:10.1103/physreva.91.022122 · Cited by 17 · see citing works
Zhang, W., & Shen, H. Z. (2024) · Physical Review A · doi:10.1103/physreva.109.033701 · Cited by 15 · see citing works
Certifiability criterion for large-scale quantum systems
Fröwis, F., den Nest, M. V., & Dür, W. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/11/113011 · Cited by 15 · see citing works
Haikka, P., & Maniscalco, S. (2014) · Open Systems & Information Dynamics · doi:10.1142/s1230161214400058 · Cited by 18 · see citing works
Quantum speedup of uncoupled multiqubit open system via dynamical decoupling pulses
Song, Y.-J., Kuang, L.-M., & Tan, Q.-S. (2016) · Quantum Information Processing · doi:10.1007/s11128-016-1291-2 · Cited by 15 · see citing works
Quantum speedup, non-Markovianity and formation of bound state
Ahansaz, B., & Ektesabi, A. (2019) · Scientific Reports · doi:10.1038/s41598-019-51290-x · Cited by 15 · see citing works
Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system
Sampaio, R., Suomela, S., Schmidt, R., & Ala-Nissilä, T. (2017) · Physical Review A · doi:10.1103/physreva.95.022120 · Cited by 14 · see citing works
Shen, H. Z., Chen, Y., Luan, T. Z., & Yi, X. X. (2023) · Physical Review A · doi:10.1103/physreva.107.053705 · Cited by 13 · see citing works
Yang, J.-F., & Shen, H. Z. (2024) · Physical Review A · doi:10.1103/physreva.109.053712 · Cited by 13 · see citing works
Universal quantum uncertainty relations between nonergodicity and loss of information
Awasthi, N., Bhattacharya, S., Sen, A., & Sen, U. (2018) · Physical Review A · doi:10.1103/physreva.97.032103 · Cited by 13 · see citing works
Butler, E. P., Fux, G. E., Ortega-Taberner, C., Lovett, B. W., Keeling, J., & Eastham, P. R. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.060401 · Cited by 13 · see citing works
Quantum Models of Consciousness from a Quantum Information Science Perspective
Gassab, L., Pusuluk, O., Cattaneo, M., & Müstecaplıoğlu, Ö. E. (2025) · Entropy · doi:10.3390/e27030243 · Cited by 14 · see citing works
Chakraborty, S. (2018) · Physical Review A · doi:10.1103/physreva.97.032130 · Cited by 12 · see citing works
Quantifying non-Markovianity via conditional mutual information
Huang, Z., & Guo, X.-K. (2021) · Physical Review A · doi:10.1103/physreva.104.032212 · Cited by 12 · see citing works
Head-Marsden, K., & Mazziotti, D. A. (2019) · The Journal of Chemical Physics · doi:10.1063/1.5100143 · Cited by 11 · see citing works
Non-Markovianity in experimentally simulated quantum channels: Role of counterrotating-wave terms
Xiong, S.-J., Hu, Q., Sun, Z., Yu, L. Z., Su, Q.-P., Liu, J., & Yang, C. (2019) · Physical Review A · doi:10.1103/physreva.100.032101 · Cited by 11 · see citing works
Impurity dephasing in a Bose–Hubbard model
Caleffi, F., Capone, M., de Vega, I., & Recati, A. (2021) · New Journal of Physics · doi:10.1088/1367-2630/abe080 · Cited by 12 · see citing works
Quantum speedup via engineering multiple environments
Mo, M., Wang, J., & Wu, Y. (2017) · Annalen der Physik · doi:10.1002/andp.201600221 · Cited by 9 · see citing works
Coherent dynamics of a qubit–oscillator system in a noisy environment
Wu, W., & Cheng, J.-Q. (2018) · Quantum Information Processing · doi:10.1007/s11128-018-2071-y · Cited by 10 · see citing works
Role of flow of information in the speedup of quantum evolution
Wang, J., Wu, Y., & Xie, Z. (2018) · Scientific Reports · doi:10.1038/s41598-018-34890-x · Cited by 10 · see citing works
Discrete dynamics and non-Markovianity
Luoma, K., & Piilo, J. (2016) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/49/12/125501 · Cited by 10 · see citing works
Self-citationMemory in quantum processes with indefinite time direction and causal order
Karpat, G., & Çakmak, B. (2024) · Physical Review A · doi:10.1103/physreva.110.012446 · Cited by 9 · see citing works
Role of entanglement for nonlocal memory effects
Wißmann, S., & Breuer, H. (2014) · Physical Review A · doi:10.1103/physreva.90.032117 · Cited by 8 · see citing works
Self-citationDouble-time correlation functions of two quantum operations in open systems
Ban, M. (2017) · Physical Review A · doi:10.1103/physreva.96.042111 · Cited by 8 · see citing works
Dynamics and thermalization in a simple mesoscopic fermionic bath
Mwalaba, M., Sinayskiy, I., & Petruccione, F. (2019) · Physical Review A · doi:10.1103/physreva.99.052102 · Cited by 7 · see citing works
The role of correlated environments on non-Markovianity and correlations of a two-qubit system
Zhu, Q.-S., Ding, C., Wu, S.-Y., & Lai, W. (2015) · The European Physical Journal D · doi:10.1140/epjd/e2015-60223-4 · Cited by 8 · see citing works
Noise-induced non-Markovianity
Kurt, A., & Eryiğit, R. (2018) · Physical Review A · doi:10.1103/physreva.98.042125 · Cited by 7 · see citing works
Decoherence of quantum systems sequentially interacting with a common environment
Ban, M. (2019) · Physical Review A · doi:10.1103/physreva.99.012116 · Cited by 7 · see citing works
Open quantum dynamics with singularities: Master equations and degree of non-Markovianity
Hegde, A. S., Athulya, K. P., Pathak, V., Piilo, J., & Shaji, A. (2021) · Physical Review A · doi:10.1103/physreva.104.062403 · Cited by 7 · see citing works
Self-citationCoherence, correlation and non-Markovianity in qubit systems
Tang, N., Cheng, W., & Zeng, H. (2014) · The European Physical Journal D · doi:10.1140/epjd/e2014-50292-2 · Cited by 7 · see citing works
Serious Game for Quantum Research
Brown, O. T., Truesdale, J., Louchart, S., McEndoo, S., Maniscalco, S., Robertson, J., Lim, T., & Kilbride, S. (2013) · Lecture notes in computer science · doi:10.1007/978-3-642-40790-1_17 · Cited by 8 · see citing works
Rossi, M. A. C., Cattaneo, M., Paris, M. G. A., & Maniscalco, S. (2018) · Quantum Measurements and Quantum Metrology · doi:10.1515/qmetro-2018-0003 · Cited by 6 · see citing works
Non-Markovianity of an atom in a semi-infinite rectangular waveguide
Zeng, J. H., Song, Y., Lu, J., & Zhou, L. (2022) · Chinese Physics B · doi:10.1088/1674-1056/acac18 · Cited by 6 · see citing works
Dynamical signatures of non-Markovianity in a dissipative-driven qubit
Amati, G. (2024) · Physical Review A · doi:10.1103/physreva.109.052433 · Cited by 6 · see citing works
- Authors
- Wißmann, S., Karlsson, A., Laine, E.-M., Piilo, J., & Breuer, H.-P.
- Affiliations
- University of Freiburg (DE)
- University of Turku (FI)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2012-12-17
- Volume
- 86
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2083572972
- Cited by
- 179
- References
- 22
- Citations by year
- 2026: 6 · 2025: 10 · 2024: 19 · 2023: 6 · 2022: 8 · 2021: 14 · 2020: 5 · 2019: 23 · 2018: 15 · 2017: 15 · 2016: 14 · 2015: 14 · 2014: 18 · 2013: 12
- FWCI
- 7.27
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- FreiDok plus (Universitätsbibliothek Freiburg) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- quantum non-Markovianity, open quantum systems, information flow, quantum memory effects, distinguishability, orthogonal states, mixed states
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
