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Communication Dans Un Congrès Année : 2018

Entanglement of two-mode Schrodinger cats

D. B. Horoshkoa
  • Fonction : Auteur
S. de Bievre
  • Fonction : Auteur
G. Patera
  • Fonction : Auteur

Résumé

Quantum superpositions of coherent states are produced both in microwave and optical domains, and are considered realizations of the famous ``Schrodinger cat'' state. The recent progress shows an increase in the number of components and the number of modes involved. Our work gives a theoretical treatment of multicomponent two-mode Schrodinger cat states. We consider a class of single-mode states, which are superpositions of N coherent states lying on a circle in the phase space. In this class we consider an orthonormal basis created by rotationally-invariant circular states (RICS). A two-mode extension of this basis is created by splitting a single-mode RICS on a balanced beam-splitter. After performing a symmetric (Lowdin) orthogonalization of the sets of coherent states in both modes we obtain the Schmidt decomposition of the two-mode state, and therefore an analytic expression for its entanglement. We show that the states obtained by splitting a RICS are generalizations of Bell states of two qubits to the case of N-level systems encoded into superpositions of coherent states on the circle, and we propose for them the name of generalized quasi-Bell states. We show that an exact probabilistic teleportation of arbitrary superposition of coherent states on the circle is possible with such a state used as shared resource.
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Dates et versions

hal-04537245 , version 1 (08-04-2024)

Identifiants

Citer

D. B. Horoshkoa, S. de Bievre, G. Patera, M. Kolobov. Entanglement of two-mode Schrodinger cats. QUANTUM TECHNOLOGIES 2018, 2018, Starsbourg, France. ⟨10.1117/12.2307323⟩. ⟨hal-04537245⟩
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