Pokaż uproszczony rekord

dc.contributor.authorWalczak, Zbigniew
dc.contributor.authorBauer, Jarosław
dc.date.accessioned2021-09-09T10:36:18Z
dc.date.available2021-09-09T10:36:18Z
dc.date.issued2020
dc.identifier.citationWalczak, Z., Bauer, J.H. Measurement-induced geometric measures of correlations based on the trace distance for two-qubit X states. Quantum Inf Process 19, 190 (2020). https://doi.org/10.1007/s11128-020-02680-ypl_PL
dc.identifier.urihttp://hdl.handle.net/11089/39014
dc.description.abstractWe apply the modified Brodutch and Modi method of constructing geometric measures of correlations to obtain analytical expressions for measurement-induced geometric classical and quantum correlations based on the trace distance for two-qubit X states. Moreover, we study continuity of the classical and quantum correlations for these states. In particular, we show that these correlations may not be continuous.pl_PL
dc.description.sponsorshipThis work was supported by University of Lodz.pl_PL
dc.language.isoenpl_PL
dc.publisherSpringer Naturepl_PL
dc.relation.ispartofseriesQuantum Information Processing;19
dc.rightsUznanie autorstwa 4.0 Międzynarodowe*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectGeometric measures of correlationspl_PL
dc.subjectClassical and quantum correlationspl_PL
dc.subjectTrace distancepl_PL
dc.subjectContinuity of measures of correlationspl_PL
dc.subjectX statespl_PL
dc.titleMeasurement-induced geometric measures of correlations based on the trace distance for two-qubit X statespl_PL
dc.typeArticlepl_PL
dc.page.number17pl_PL
dc.contributor.authorAffiliationDepartment of Theoretical Physics, Faculty of Physics and Applied Informatics, University of Lodz, Pomorska 149/153, 90-236, Lodz, Polandpl_PL
dc.identifier.eissn1573-1332
dc.referencesHorodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009)pl_PL
dc.referencesModi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655 (2012)pl_PL
dc.referencesRoga, W., Spehner, D., Illuminati, F.: Geometric measures of quantum correlations: characterization, quantification, and comparison by distances and operations. J. Phys. A 49, 235301 (2016)pl_PL
dc.referencesAdesso, G., Bromley, T.R., Cianciaruso, M.: Measures and applications of quantum correlations. J. Phys. A 49, 473001 (2016)pl_PL
dc.referencesBera, A., Das, T., Sadhukhan, D., Roy, S.S., Sen(De), A., Sen, U.: Quantum discord and its allies: a review of recent progress. Rep. Prog. Phys. 81, 024001 (2018)pl_PL
dc.referencesWerner, R.F.: Quantum states with Einstein–Podolsky–Rosen correlations admitting a hidden-variable model. Phys. Rev. A 40, 4277 (1989)pl_PL
dc.referencesKnill, E., Laflamme, R.: Power of one bit of quantum information. Phys. Rev. Lett. 81, 5672 (1998)pl_PL
dc.referencesBraunstein, S.L., Caves, C.M., Jozsa, R., Linden, N., Popescu, S., Schack, R.: Separability of very noisy mixed states and implications for NMR quantum computing. Phys. Rev. Lett. 83, 1054 (1999)pl_PL
dc.referencesBennett, 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)pl_PL
dc.referencesLloyd, S.: Quantum search without entanglement. Phys. Rev. A 61, 010301 (1999)pl_PL
dc.referencesMeyer, D.A.: Sophisticated quantum search without entanglement. Phys. Rev. Lett. 85, 2014 (2000)pl_PL
dc.referencesBiham, E., Brassard, G., Kenigsberg, D., Mor, T.: Quantum computing without entanglement. Theor. Comput. Sci. 320, 15 (2004)pl_PL
dc.referencesDatta, A., Flammia, S.T., Caves, C.M.: Entanglement and the power of one qubit. Phys. Rev. A 72, 042316 (2005)pl_PL
dc.referencesDatta, A., Vidal, G.: Role of entanglement and correlations in mixed-state quantum computation. Phys. Rev. A 75, 042310 (2007)pl_PL
dc.referencesOllivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)pl_PL
dc.referencesHenderson, L., Vedral, V.: Classical, quantum and total correlations. J. Phys. A 34, 6899 (2001)pl_PL
dc.referencesDatta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100, 050502 (2008)pl_PL
dc.referencesHu, M.L., Hu, X., Wang, J., Peng, Y., Zhang, Y.R., Fan, H.: Quantum coherence and geometric quantum discord. Phys. Rep. 762–764, 1 (2018)pl_PL
dc.referencesQiang, W.C., Sun, G.H., Dong, Q., Dong, S.H.: Genuine multipartite concurrence for entanglement of Dirac fields in noninertial frames. Phys. Rev. A 98, 022320 (2018)pl_PL
dc.referencesQiang, W.C., Dong, Q., Mercado Sanchez, M.A., Sun, G.H., Dong, S.H.: Entanglement property of the Werner state in accelerated frames. Quantum Inf. Process. 18, 314 (2019)pl_PL
dc.referencesTorres-Arenas, A.J., Dong, Q., Sun, G.H., Qiang, W.C., Dong, S.H.: Entanglement measures of W-state in noninertial frames. Phys. Lett. B 789, 93 (2019)pl_PL
dc.referencesLiao, X.P., Wen, W., Rong, M.S., Fang, M.F.: Effect of partial-collapse measurement on quantum entanglement in noninertial frames. Quantum Inf. Process. 19, 106 (2020)pl_PL
dc.referencesModi, K., Paterek, T., Son, W., Vedral, V., Williamson, M.: Unified view of quantum and classical correlations. Phys. Rev. Lett. 104, 080501 (2010)pl_PL
dc.referencesDakić, B., Vedral, V., Brukner, Č.: Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105, 190502 (2010)pl_PL
dc.referencesPiani, M.: Problem with geometric discord. Phys. Rev. A 86, 034101 (2012)pl_PL
dc.referencesPaula, F.M., de Oliveira, T.R., Sarandy, M.S.: Geometric quantum discord through the Schatten 1-norm. Phys. Rev. A 87, 064101 (2013)pl_PL
dc.referencesDebarba, T., Maciel, T.O., Vianna, R.O.: Witnessed entanglement and the geometric measure of quantum discord. Phys. Rev. A 86, 024302 (2012)pl_PL
dc.referencesBrodutch, A., Modi, K.: Criteria for measures of quantum correlations. Quantum Inf. Comput. 12, 0721 (2012)pl_PL
dc.referencesWalczak, Z., Wintrowicz, I.: On the Brodutch and Modi method of constructing geometric measures of classical and quantum correlations. Quantum Inf. Process. 16, 83 (2017)pl_PL
dc.referencesWilde, M.M.: Quantum Information Theory. Cambridge University Press, Cambridge (2013)pl_PL
dc.referencesYu, T., Eberly, J.H.: Evolution from entanglement to decoherence of bipartite mixed “X” states. Quantum Inf. Comput. 7, 459 (2007)pl_PL
dc.referencesChen, Q., Zhang, C., Yu, S., Yi, X.X., Oh, C.H.: Quantum discord of two-qubit X states. Phys. Rev. A 84, 042313 (2011)pl_PL
dc.referencesHuang, Y.: Quantum discord for two-qubit X states: analytical formula with very small worst-case error. Phys. Rev. A 88, 014302 (2013)pl_PL
dc.referencesHorodecki, R., Horodecki, M.: Information-theoretic aspects of inseparability of mixed states. Phys. Rev. A 54, 1838 (1996)pl_PL
dc.referencesBatle, J., Casas, M.: Nonlocality and entanglement in qubit systems. J. Phys. A 44, 445304 (2011)pl_PL
dc.referencesIshizaka, S., Hiroshima, T.: Maximally entangled mixed states under nonlocal unitary operations in two qubits. Phys. Rev. A 62, 022310 (2000)pl_PL
dc.referencesCiccarello, F., Tufarelli, T., Giovannetti, V.: Toward computability of trace distance discord. New J. Phys. 16, 013038 (2014)pl_PL
dc.referencesNakano, T., Piani, M., Adesso, G.: Negativity of quantumness and its interpretations. Phys. Rev. A 88, 012117 (2013)pl_PL
dc.referencesŁugiewicz, P., Frydryszak, A., Jakóbczyk, L.: Measurement-induced qudit geometric discord. J. Phys. A 50, 245301 (2017)pl_PL
dc.referencesWalczak, Z.: Measurement-induced geometric measures of correlations based on the Hellinger distance and their local decoherence. Quantum Inf. Process. 18, 321 (2019)pl_PL
dc.identifier.doi10.1007/s11128-020-02680-y
dc.relation.volume190pl_PL
dc.disciplinenauki fizycznepl_PL


Pliki tej pozycji

Thumbnail
Thumbnail

Pozycja umieszczona jest w następujących kolekcjach

Pokaż uproszczony rekord

Uznanie autorstwa 4.0 Międzynarodowe
Poza zaznaczonymi wyjątkami, licencja tej pozycji opisana jest jako Uznanie autorstwa 4.0 Międzynarodowe