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The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

Steering, Entanglement, Nonlocality, and the Einstein-Podolsky-Rosen Paradox

Open access
Wiseman, H. M., Jones, S. J., Doherty, A. C.·2007·Physical Review Letters

Abstract

The concept of steering was introduced by Schrödinger in 1935 as a generalization of the Einstein-Podolsky-Rosen paradox for arbitrary pure bipartite entangled states and arbitrary measurements by one party. Until now, it has never been rigorously defined, so it has not been known (for example) what mixed states are steerable (that is, can be used to exhibit steering). We provide an operational definition, from which we prove (by considering Werner states and isotropic states) that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell nonlocality. For arbitrary bipartite Gaussian states we derive a linear matrix inequality that decides the question of steerability via Gaussian measurements, and we relate this to the original Einstein-Podolsky-Rosen paradox.

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Show all 4 references

Research works printed but not linked: 22

  1. E. Schrödinger, 1935, Proc. Cambridge Philos. Soc., 31, 553, 10.1017/S0305004100013554 · DOI · Paper page
  2. E. Schrödinger, 1936, Proc. Cambridge Philos. Soc., 32, 446, 10.1017/S0305004100019137 · DOI · Paper page
  3. E. Schrödinger, 1926, Ann. Phys. (Berlin), 79, 361, 10.1002/andp.19263840404 · DOI · Paper page
  4. E. Schrodinger, 1926, Ann. Phys. (Berlin), 79, 489, 10.1002/andp.19263840602 · DOI · Paper page
  5. E. Schrodinger, 1926, Ann. Phys. (Berlin), 80, 437, 10.1002/andp.19263851302 · DOI · Paper page
  6. E. Schrodinger, 1926, Ann. Phys. (Berlin), 81, 109, 10.1002/andp.19263861802 · DOI · Paper page
  7. 10.1088/0305-4470/21/13/016 · doi:10.1088/0305-4470/21/13/016
  8. 10.1023/A:1026056716397 · DOI · Paper page
  9. 10.1103/PhysRevA.75.032110 · DOI · Paper page
  10. 10.1007/s10702-006-1852-1 · DOI
  11. 10.1016/0375-9601(91)90805-I · DOI · Paper page
  12. 10.1103/PhysRevLett.80.5239 · DOI · Paper page
  13. 10.1103/PhysRevA.40.913 · DOI · Paper page
  14. 10.1088/0305-4470/34/1/307 · DOI
  15. 10.1103/PhysRevA.73.062105 · DOI · Paper page
  16. 10.1103/PhysRevA.59.4206 · DOI · Paper page
  17. 10.1103/PhysRevLett.88.040404 · DOI · Paper page
  18. 10.1103/PhysRevA.66.032316 · DOI · Paper page
  19. K. Zhou, 1996, Optimal and Robust Control
  20. 10.1103/PhysRevA.69.012304 · DOI
  21. 10.1103/PhysRevLett.92.127901 · DOI · Paper page
  22. 10.1103/PhysRevLett.96.150501 · DOI

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Metadata

Authors
Wiseman, H. M., Jones, S. J., & Doherty, A. C.
Venue
Physical Review Letters
Published
2007-04-06
Volume
98
Issue
14
Pages
140402-140402
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2068343535
Cited by
1,572
References
4
FWCI
6.11
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Steering, Entanglement, Nonlocality, and the Einstein-Podolsky-Rosen Paradox. https://app.cochat.ai/papers/10.1103/physrevlett.98.140402
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Wiseman, H. M., Jones, S. J., & Doherty, A. C. (2007). Steering, Entanglement, Nonlocality, and the Einstein-Podolsky-Rosen Paradox. Physical Review Letters. https://doi.org/10.1103/physrevlett.98.140402

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