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Resolutions of the Identity in Terms of Line Integrals of Coherent States and Their Use for Quantum State Engineering

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Abstract

Resolutions of the identity in terms of line integrals of coherent states and their complementary states are presented. The concept of complementary states is explained. The general technique is exemplified in the context of SU (2) coherent states. It enables the construction of an arbitrary state within the Hilbert space H 2j+1 in terms of SU (2) coherent states. More general results for other types of coherent states are also presented.

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© 1997 Springer Science+Business Media New York

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Vourdas, A. (1997). Resolutions of the Identity in Terms of Line Integrals of Coherent States and Their Use for Quantum State Engineering. In: Hirota, O., Holevo, A.S., Caves, C.M. (eds) Quantum Communication, Computing, and Measurement. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5923-8_28

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  • DOI: https://doi.org/10.1007/978-1-4615-5923-8_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7716-0

  • Online ISBN: 978-1-4615-5923-8

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