Cloning of spin-coherent states

Journal Article · Thu Jan 01 00:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.012301· OSTI ID:20640581

Demkowicz-Dobrzanski, Rafal ^[1]; Kus, Marek ^[1]; Wodkiewicz, Krzysztof ^[2]

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1. Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/44, 02-668 Warsaw (Poland)
2. Institute of Theoretical Physics, Warsaw University, Warsaw (Poland)

We consider optimal cloning of the spin coherent states in Hilbert spaces of different dimensionality d. We give explicit form of optimal cloning transformation for spin coherent states in the three-dimensional space, analytical results for the fidelity of the optimal cloning in d=3 and d=4 as well as numerical results for higher dimensions. In the low-dimensional case we construct the corresponding completely positive maps and exhibit their structure with the help of Jamiolkowski isomorphism. This allows us to formulate some conjectures about the form of optimal coherent cloning completely positive maps in arbitrary dimension.

• OSTI ID: 20640581
• Journal Information: Physical Review. A, Vol. 69, Issue 1; Other Information: DOI: 10.1103/PhysRevA.69.012301; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANNIHILATION OPERATORS
EIGENSTATES
HARMONIC OSCILLATORS
HILBERT SPACE
MAPS
QUANTUM MECHANICS
SPIN
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS