{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T07:28:52Z","timestamp":1770535732963,"version":"3.49.0"},"reference-count":74,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2019,4,20]],"date-time":"2019-04-20T00:00:00Z","timestamp":1555718400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 11575174, No. 11374287, No. 11574297, No. 61771443"],"award-info":[{"award-number":["No. 11575174, No. 11374287, No. 11574297, No. 61771443"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["WK2340000083"],"award-info":[{"award-number":["WK2340000083"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The Einstein\u2013Podolsky\u2013Rosen (EPR) steering is a subtle intermediate correlation between entanglement and Bell nonlocality. It not only theoretically completes the whole picture of non-local effects but also practically inspires novel quantum protocols in specific scenarios. However, a verification of EPR steering is still challenging due to difficulties in bounding unsteerable correlations. In this survey, the basic framework to study the bipartite EPR steering is discussed, and general techniques to certify EPR steering correlations are reviewed.<\/jats:p>","DOI":"10.3390\/e21040422","type":"journal-article","created":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T11:02:53Z","timestamp":1555930973000},"page":"422","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["The Einstein\u2013Podolsky\u2013Rosen Steering and Its Certification"],"prefix":"10.3390","volume":"21","author":[{"given":"Yi-Zheng","family":"Zhen","sequence":"first","affiliation":[{"name":"Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China"},{"name":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China"},{"name":"Institute for Quantum Science and Engineering, Southern University of Science and Technology (SUSTech), Shenzhen 518055, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin-Yu","family":"Xu","sequence":"additional","affiliation":[{"name":"Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China"},{"name":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Li","sequence":"additional","affiliation":[{"name":"Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China"},{"name":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nai-Le","family":"Liu","sequence":"additional","affiliation":[{"name":"Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China"},{"name":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kai","family":"Chen","sequence":"additional","affiliation":[{"name":"Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China"},{"name":"CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,4,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"140402","DOI":"10.1103\/PhysRevLett.98.140402","article-title":"Steering, Entanglement, Nonlocality, and the Einstein-Podolsky-Rosen Paradox","volume":"98","author":"Wiseman","year":"2007","journal-title":"Phys. Rev. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1017\/S0305004100013554","article-title":"Discussion of Probability Relations between Separated Systems","volume":"31","year":"1935","journal-title":"Math. Proc. Camb."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"446","DOI":"10.1017\/S0305004100019137","article-title":"Probability relations between separated systems","volume":"32","year":"1936","journal-title":"Math. Proc. Camb."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1103\/PhysRev.47.777","article-title":"Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?","volume":"47","author":"Einstein","year":"1935","journal-title":"Phys. Rev."},{"key":"ref_5","unstructured":"Bohm, D. (1951). Quantum Theory, Dover Publishications."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1103\/PhysicsPhysiqueFizika.1.195","article-title":"On the Einstein-Podolsky-Rosen Paradox","volume":"1","author":"Bell","year":"1964","journal-title":"Physics"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Bell, J.S. (2004). Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy, Cambridge University Press. [2nd ed.].","DOI":"10.1017\/CBO9780511815676"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1103\/RevModPhys.86.419","article-title":"Bell nonlocality","volume":"86","author":"Brunner","year":"2014","journal-title":"Rev. Mod. Phys."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1038\/nature15759","article-title":"Detection-Loophole-Free Test of Quantum Nonlocality, and Applications","volume":"526","author":"Hensen","year":"2015","journal-title":"Nature"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"250401","DOI":"10.1103\/PhysRevLett.115.250401","article-title":"Significant-Loophole-Free Test of Bell\u2019s Theorem with Entangled Photons","volume":"115","author":"Giustina","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"250402","DOI":"10.1103\/PhysRevLett.115.250402","article-title":"Strong Loophole-Free Test of Local Realism","volume":"115","author":"Shalm","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"548","DOI":"10.1038\/s41586-018-0559-3","article-title":"Device-independent quantum random-number generation","volume":"562","author":"Liu","year":"2018","journal-title":"Nature"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"4277","DOI":"10.1103\/PhysRevA.40.4277","article-title":"Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model","volume":"40","author":"Werner","year":"1989","journal-title":"Phys. Rev. A"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"052116","DOI":"10.1103\/PhysRevA.76.052116","article-title":"Entanglement, Einstein-Podolsky-Rosen correlations, Bell nonlocality, and steering","volume":"76","author":"Jones","year":"2007","journal-title":"Phys. Rev. A"},{"key":"ref_15","first-page":"031003","article-title":"Arbitrarily Loss-Tolerant Einstein-Podolsky-Rosen Steering Allowing a Demonstration over 1 km of Optical Fiber with No Detection Loophole","volume":"2","author":"Bennet","year":"2012","journal-title":"Phys. Rev. X"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"053030","DOI":"10.1088\/1367-2630\/14\/5\/053030","article-title":"Loophole-free Einstein-Podolsky-Rosen experiment via quantum steering","volume":"14","author":"Wittmann","year":"2012","journal-title":"New J. Phys."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"130406","DOI":"10.1103\/PhysRevLett.111.130406","article-title":"Detection-Loophole-Free Test of Quantum Nonlocality, and Applications","volume":"111","author":"Christensen","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"010301","DOI":"10.1103\/PhysRevA.85.010301","article-title":"One-sided device-independent quantum key distribution: Security, feasibility, and the connection with steering","volume":"85","author":"Branciard","year":"2012","journal-title":"Phys. Rev. A"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1038\/nphys1766","article-title":"Experimental EPR-steering using Bell-local states","volume":"6","author":"Saunders","year":"2010","journal-title":"Nat. Phys."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"032128","DOI":"10.1103\/PhysRevA.95.032128","article-title":"Optimized detection of steering via linear criteria for arbitrary-dimensional states","volume":"95","author":"Zheng","year":"2017","journal-title":"Phys. Rev. A"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1727","DOI":"10.1103\/RevModPhys.81.1727","article-title":"Colloquium: The Einstein-Podolsky-Rosen paradox: From concepts to applications","volume":"81","author":"Reid","year":"2009","journal-title":"Rev. Mod. Phys."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"032112","DOI":"10.1103\/PhysRevA.80.032112","article-title":"Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox","volume":"80","author":"Cavalcanti","year":"2009","journal-title":"Phys. Rev. A"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"012108","DOI":"10.1103\/PhysRevA.93.012108","article-title":"Certifying Einstein-Podolsky-Rosen steering via the local uncertainty principle","volume":"93","author":"Zhen","year":"2016","journal-title":"Phys. Rev. A"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"062103","DOI":"10.1103\/PhysRevA.87.062103","article-title":"Einstein-Podolsky-Rosen steering inequalities from entropic uncertainty relations","volume":"87","author":"Schneeloch","year":"2013","journal-title":"Phys. Rev. A"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"050305","DOI":"10.1103\/PhysRevA.90.050305","article-title":"Fine-grained Einstein-Podolsky-Rosen-steering inequalities","volume":"90","author":"Pramanik","year":"2014","journal-title":"Phys. Rev. A"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"032107","DOI":"10.1103\/PhysRevA.91.032107","article-title":"Geometric Bell-like inequalities for steering","volume":"91","author":"Dutta","year":"2015","journal-title":"Phys. Rev. A"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"062130","DOI":"10.1103\/PhysRevA.92.062130","article-title":"Steering criteria via covariance matrices of local observables in arbitrary-dimensional quantum systems","volume":"92","author":"Ji","year":"2015","journal-title":"Phys. Rev. A"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"024001","DOI":"10.1088\/1361-6633\/80\/2\/024001","article-title":"Quantum steering: A review with focus on semidefinite programming","volume":"80","author":"Cavalcanti","year":"2017","journal-title":"Prog. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2143","DOI":"10.1038\/srep02143","article-title":"All-Versus-Nothing Proof of Einstein-Podolsky-Rosen Steering","volume":"3","author":"Chen","year":"2013","journal-title":"Sci. Rep."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"140402","DOI":"10.1103\/PhysRevLett.113.140402","article-title":"Experimental Demonstration of the Einstein-Podolsky-Rosen Steering Game Based on the All-Versus-Nothing Proof","volume":"113","author":"Sun","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1038\/nphoton.2012.202","article-title":"Observation of one-way Einstein-Podolsky-Rosen steering","volume":"6","author":"Eberle","year":"2012","journal-title":"Nat. Photon"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"200402","DOI":"10.1103\/PhysRevLett.112.200402","article-title":"One-way Einstein-Podolsky-Rosen Steering","volume":"112","author":"Bowles","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"062123","DOI":"10.1103\/PhysRevA.94.062123","article-title":"Superactivation of quantum steering","volume":"94","author":"Quintino","year":"2016","journal-title":"Phys. Rev. A"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"062120","DOI":"10.1103\/PhysRevA.94.062120","article-title":"Quantum steerability: Characterization, quantification, superactivation, and unbounded amplification","volume":"94","author":"Hsieh","year":"2016","journal-title":"Phys. Rev. A"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"180404","DOI":"10.1103\/PhysRevLett.112.180404","article-title":"Quantifying Einstein-Podolsky-Rosen Steering","volume":"112","author":"Skrzypczyk","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"020103","DOI":"10.1103\/PhysRevA.93.020103","article-title":"Quantification of Einstein-Podolski-Rosen steering for two-qubit states","volume":"93","author":"Costa","year":"2016","journal-title":"Phys. Rev. A"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"022110","DOI":"10.1103\/PhysRevA.97.022110","article-title":"Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes","volume":"97","author":"Das","year":"2018","journal-title":"Phys. Rev. A"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"032313","DOI":"10.1103\/PhysRevA.88.032313","article-title":"Negativity and steering: A stronger Peres conjecture","volume":"88","author":"Pusey","year":"2013","journal-title":"Phys. Rev. A"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"355302","DOI":"10.1088\/1751-8121\/aad115","article-title":"Quantum steering with positive operator valued measures","volume":"51","author":"Nguyen","year":"2018","journal-title":"J. Phys. A Math. Theor."},{"key":"ref_40","first-page":"041008","article-title":"Resource Theory of Steering","volume":"5","author":"Gallego","year":"2015","journal-title":"Phys. Rev. X"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"250403","DOI":"10.1103\/PhysRevLett.111.250403","article-title":"Genuine Multipartite Einstein-Podolsky-Rosen Steering","volume":"111","author":"He","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"010402","DOI":"10.1103\/PhysRevLett.115.010402","article-title":"Genuine High-Order Einstein-Podolsky-Rosen Steering","volume":"115","author":"Li","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"1072","DOI":"10.1126\/science.1192065","article-title":"The Uncertainty Principle Determines the Nonlocality of Quantum Mechanics","volume":"330","author":"Oppenheim","year":"2010","journal-title":"Science"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"022116","DOI":"10.1103\/PhysRevA.94.022116","article-title":"Nonlocal games and optimal steering at the boundary of the quantum set","volume":"94","author":"Zhen","year":"2016","journal-title":"Phys. Rev. A"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"160402","DOI":"10.1103\/PhysRevLett.113.160402","article-title":"Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality","volume":"113","author":"Quintino","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"230402","DOI":"10.1103\/PhysRevLett.115.230402","article-title":"One-to-One Mapping between Steering and Joint Measurability Problems","volume":"115","author":"Uola","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"060404","DOI":"10.1103\/PhysRevLett.114.060404","article-title":"Necessary and Sufficient Quantum Information Characterization of Einstein-Podolsky-Rosen Steering","volume":"114","author":"Piani","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1038\/nphys3202","article-title":"Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks","volume":"11","author":"Armstrong","year":"2015","journal-title":"Nat. Phys."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"140406","DOI":"10.1103\/PhysRevLett.120.140406","article-title":"Bell Inequality, Einstein-Podolsky-Rosen Steering, and Quantum Metrology with Spinor Bose-Einstein Condensates","volume":"120","author":"Wasak","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"100401","DOI":"10.1103\/PhysRevLett.121.100401","article-title":"Conclusive Experimental Demonstration of One-Way Einstein-Podolsky-Rosen Steering","volume":"121","author":"Tischler","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1126\/science.aao2254","article-title":"Spatially distributed multipartite entanglement enables EPR steering of atomic clouds","volume":"360","author":"Kunkel","year":"2018","journal-title":"Science"},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"416","DOI":"10.1126\/science.aao2035","article-title":"Entanglement between two spatially separated atomic modes","volume":"360","author":"Lange","year":"2018","journal-title":"Science"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1126\/science.aao1850","article-title":"Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in Bose-Einstein condensates","volume":"360","author":"Fadel","year":"2018","journal-title":"Science"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"083040","DOI":"10.1088\/1367-2630\/aad8df","article-title":"A formalism for steering with local quantum measurements","volume":"20","author":"Sainz","year":"2018","journal-title":"New J. Phys."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"012112","DOI":"10.1103\/PhysRevA.73.012112","article-title":"General properties of nonsignaling theories","volume":"73","author":"Masanes","year":"2006","journal-title":"Phys. Rev. A"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"032304","DOI":"10.1103\/PhysRevA.75.032304","article-title":"Information processing in generalized probabilistic theories","volume":"75","author":"Barrett","year":"2007","journal-title":"Phys. Rev. A"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1038\/nature09008","article-title":"Random numbers certified by Bell\u2019s theorem","volume":"464","author":"Pironio","year":"2010","journal-title":"Nature"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"020402","DOI":"10.1103\/PhysRevLett.113.020402","article-title":"Quantum Steering Ellipsoids","volume":"113","author":"Jevtic","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1007\/s10701-008-9256-7","article-title":"Notes on Joint Measurability of Quantum Observables","volume":"38","author":"Heinosaari","year":"2008","journal-title":"Found. Phys."},{"key":"ref_60","doi-asserted-by":"crossref","unstructured":"Kraus, K. (1983). States, Effects and Operations: Fundamental Notions of Quantum Theory, Springer.","DOI":"10.1007\/3-540-12732-1"},{"key":"ref_61","doi-asserted-by":"crossref","unstructured":"Boyd, S., and Vandenberghe, L. (2004). Convex Optimization, Cambridge University Press.","DOI":"10.1017\/CBO9780511804441"},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"880","DOI":"10.1103\/PhysRevLett.23.880","article-title":"Proposed Experiment to Test Local Hidden-Variable Theories","volume":"23","author":"Clauser","year":"1969","journal-title":"Phys. Rev. Lett."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"062105","DOI":"10.1103\/PhysRevA.73.062105","article-title":"Grothendieck\u2019s constant and local models for noisy entangled quantum states","volume":"73","author":"Gisin","year":"2006","journal-title":"Phys. Rev. A"},{"key":"ref_64","first-page":"92","article-title":"Trace Inequalities with Applications to Orthogonal Regression and Matrix Nearness Problems","volume":"10","author":"Coope","year":"2009","journal-title":"J. Inequal. Pure Appl. Math."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1103\/PhysRevLett.77.1413","article-title":"Separability Criterion for Density Matrices","volume":"77","author":"Peres","year":"1996","journal-title":"Phys. Rev. Lett."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"012142","DOI":"10.1103\/PhysRevA.95.012142","article-title":"Efficient linear criterion for witnessing Einstein-Podolsky-Rosen nonlocality under many-setting local measurements","volume":"95","author":"Zheng","year":"2017","journal-title":"Phys. Rev. A"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1007\/BF01397280","article-title":"\u00dcber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik","volume":"43","author":"Heisenberg","year":"1927","journal-title":"Zeitschrift Phys."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1103\/PhysRev.34.163","article-title":"The Uncertainty Principle","volume":"34","author":"Robertson","year":"1929","journal-title":"Phys. Rev."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1103\/PhysRevLett.50.631","article-title":"Uncertainty in Quantum Measurements","volume":"50","author":"Deutsch","year":"1983","journal-title":"Phys. Rev. Lett."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"032103","DOI":"10.1103\/PhysRevA.68.032103","article-title":"Violation of local uncertainty relations as a signature of entanglement","volume":"68","author":"Hofmann","year":"2003","journal-title":"Phys. Rev. A"},{"key":"ref_71","first-page":"193","article-title":"A matrix realignment method for recognizing entanglement","volume":"3","author":"Chen","year":"2003","journal-title":"Quant. Inf. Comput."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"5825","DOI":"10.1088\/0305-4470\/36\/21\/311","article-title":"On the cross norm criterion for separability","volume":"36","author":"Rudolph","year":"2003","journal-title":"J. Phys. A Math. Gen."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"050404","DOI":"10.1103\/PhysRevLett.113.050404","article-title":"Steering Bound Entangled States: A Counterexample to the Stronger Peres Conjecture","volume":"113","author":"Moroder","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"5297","DOI":"10.1038\/ncomms6297","article-title":"Disproving the Peres conjecture by showing Bell nonlocality from bound entanglement","volume":"5","author":"Brunner","year":"2014","journal-title":"Nat. Commun."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/21\/4\/422\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T12:47:00Z","timestamp":1760186820000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/21\/4\/422"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,20]]},"references-count":74,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2019,4]]}},"alternative-id":["e21040422"],"URL":"https:\/\/doi.org\/10.3390\/e21040422","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,4,20]]}}}