Entangled non-local quantum interferometry

Fortschritte der Physik

Volumn 46, Issue 6-8, 1998, Pages 643-661

  Di Giuseppe, G ^a   De Martini, F ^a   Boschi, D ^a   Branca, S ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

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[No Author keywords available]

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EID: 0032346392     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-3978(199811)46:6/8<643::AID-PROP643>3.0.CO;2-9     Document Type: Article

References (42)

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3. The present work has been first presented at the Adriatico Workshop Quantum Interferometry, Trieste, March 1996 and published in the Proceedings: Quantum Interferometry, F. De Martini, G. Denardo and Y. Shih editors (VCH, Weinheim 1997).
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20. Q = V may be violated and a new interesting phenomenology appears. This has been shown recently by: G. DI GIUSEPPE, L. HEIBERGER, F. DE MARTINI and V. A. SERGIENKO (to be published) and by: F. DE MARTINI, G. DI GIUSEPPE and V. A. SERGIENKO Phys. Rev. A, 56, R21 (1997) for type-II collinear and for noncollinear PDC interaction, respectively.
21. i detectors and oriented parallel to the o-or e-polarization cancel the effect of one of the two amplitudes without changing the overall phenomenology. However if that analyzer is placed between the source and the BS, the entangled state is replaced by a "statistical mixture", and all interference effects are cancelled, as shown by (12): cfr. Rets. [3] and [9].
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23. 2, the coherence-time of the state of the single atom of the photocathode that actually realizes the final act of detection. This is just a simple illustration of the content of an insightful statement by L. Mandel according to which the nature of the quantum state-vector of a system, and then its dynamics, "reflects not only what is actually known but . . . what is knowable in principle": L. WANG, X. ZOU and L. MANDEL, Phys. Rev. A 44, 4614 (1991).
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27. K. MATTLE, H. WEINFURTER, P. G. KWIAT and A. ZEILINGER, work first presented at the Adriatico Workshop Quantum Interferometry, Trieste, March 1996 and published in the Proceedings (cfr: Ref. [2]): also in: Phys. Rev. Lett. 76, 4656 (1996).
28. i's. The experiment shown in Fig. 6 is presently in progress in our Laboratory. An IF argument similar to the present one involving two particle non-entangled states has been discussed by: J. G. RARITY and P. R. TAPSTER in Quantum Interferometry, F. DE MARTINI, G. DENARDO and A. ZEILINGER editors (World Scientific, New York, 1994).
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31. o, which express contradictions and then correspond to zero state probabilities. This justifies the given value of the normalization constant appearing in (19).
32. 2o ).
33. A collection of the classical papers on Bohr's Complementarity is found in: J. A. WHEELER, W. ZUREK, Quantum Theory and Measurement (Princeton University, Princeton, 1983). The classical debate on the basic issues of complementarity is well documented by: N. BOHR, in Albert Einstein Philosopher Scientist, P. A. Schilpp Ed. (Cambridge University Press, London, 1969). The "delayed choice" concept has been introduced in standard first-order interferometry by: J. A. WHEELER, in Mathematical Foundations of Quantum Theory, A. R. Marlow Ed. (Academic, New York, 1978).
34. A collection of the classical papers on Bohr's Complementarity is found in: J. A. WHEELER, W. ZUREK, Quantum Theory and Measurement (Princeton University, Princeton, 1983). The classical debate on the basic issues of complementarity is well documented by: N. BOHR, in Albert Einstein Philosopher Scientist, P. A. Schilpp Ed. (Cambridge University Press, London, 1969). The "delayed choice" concept has been introduced in standard first-order interferometry by: J. A. WHEELER, in Mathematical Foundations of Quantum Theory, A. R. Marlow Ed. (Academic, New York, 1978).
35. F. DE MARTINI, L. DE DOMINICIS, V. CIOCCOLANTI and G. MILANI, Phys. Rev. A 45, 5144 (1992); C. E. SHANNON and W. WEAVER, The Mathematical Theory of Communications (University of Illinois, Urbana, 1975).
36. F. DE MARTINI, L. DE DOMINICIS, V. CIOCCOLANTI and G. MILANI, Phys. Rev. A 45, 5144 (1992); C. E. SHANNON and W. WEAVER, The Mathematical Theory of Communications (University of Illinois, Urbana, 1975).
37. N. BOHR, Phys. Rev. 48, 696 (1935) and: The Philosophical Writings of N. Bohr (Ox Bow Press, Woodbridge, 1987) Vol. 2. D. BOHM, Quantum Theory (Prentice Hall, Englewood cliffs, 1951), Ch. 6. For a modern account on nonlocality in quantum mechanics refer to: J. S. BELL, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, 1987); M. REDHEAD, Incompleteness, Non-locality and Realism (Clarendon, Oxford, 1990); A. PERES, Quantum Theory: Concepts and Methods (Kluwer, London, 1995).
38. N. BOHR, Phys. Rev. 48, 696 (1935) and: The Philosophical Writings of N. Bohr (Ox Bow Press, Woodbridge, 1987) Vol. 2. D. BOHM, Quantum Theory (Prentice Hall, Englewood cliffs, 1951), Ch. 6. For a modern account on nonlocality in quantum mechanics refer to: J. S. BELL, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, 1987); M. REDHEAD, Incompleteness, Non-locality and Realism (Clarendon, Oxford, 1990); A. PERES, Quantum Theory: Concepts and Methods (Kluwer, London, 1995).
39. N. BOHR, Phys. Rev. 48, 696 (1935) and: The Philosophical Writings of N. Bohr (Ox Bow Press, Woodbridge, 1987) Vol. 2. D. BOHM, Quantum Theory (Prentice Hall, Englewood cliffs, 1951), Ch. 6. For a modern account on nonlocality in quantum mechanics refer to: J. S. BELL, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, 1987); M. REDHEAD, Incompleteness, Non-locality and Realism (Clarendon, Oxford, 1990); A. PERES, Quantum Theory: Concepts and Methods (Kluwer, London, 1995).
40. N. BOHR, Phys. Rev. 48, 696 (1935) and: The Philosophical Writings of N. Bohr (Ox Bow Press, Woodbridge, 1987) Vol. 2. D. BOHM, Quantum Theory (Prentice Hall, Englewood cliffs, 1951), Ch. 6. For a modern account on nonlocality in quantum mechanics refer to: J. S. BELL, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, 1987); M. REDHEAD, Incompleteness, Non-locality and Realism (Clarendon, Oxford, 1990); A. PERES, Quantum Theory: Concepts and Methods (Kluwer, London, 1995).
41. N. BOHR, Phys. Rev. 48, 696 (1935) and: The Philosophical Writings of N. Bohr (Ox Bow Press, Woodbridge, 1987) Vol. 2. D. BOHM, Quantum Theory (Prentice Hall, Englewood cliffs, 1951), Ch. 6. For a modern account on nonlocality in quantum mechanics refer to: J. S. BELL, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, 1987); M. REDHEAD, Incompleteness, Non-locality and Realism (Clarendon, Oxford, 1990); A. PERES, Quantum Theory: Concepts and Methods (Kluwer, London, 1995).
42. N. BOHR, Phys. Rev. 48, 696 (1935) and: The Philosophical Writings of N. Bohr (Ox Bow Press, Woodbridge, 1987) Vol. 2. D. BOHM, Quantum Theory (Prentice Hall, Englewood cliffs, 1951), Ch. 6. For a modern account on nonlocality in quantum mechanics refer to: J. S. BELL, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, 1987); M. REDHEAD, Incompleteness, Non-locality and Realism (Clarendon, Oxford, 1990); A. PERES, Quantum Theory: Concepts and Methods (Kluwer, London, 1995).