Entanglement of two-mode Schrodinger cats

Horoshkoa, D. B.; de Bievre, S.; Patera, G.; Kolobov, M.

Document type :

Autre communication scientifique (congrès sans actes - poster - séminaire...): Communication dans un congrès avec actes

DOI :

10.1117/12.2307323

Title :

Entanglement of two-mode Schrodinger cats

Author(s) :

Horoshkoa, D. B. [Auteur]
de Bievre, S. [Auteur]
Patera, G. [Auteur]
Kolobov, M. [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]

Conference title :

QUANTUM TECHNOLOGIES 2018

City :

Starsbourg

Country :

France

Start date of the conference :

2018

Publication date :

2018

HAL domain(s) :

Physique [physics]/Physique Quantique [quant-ph]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Comment :

Conference on Quantum Technologies, Strasbourg, FRANCE, APR 23-25, 2018

Collections :

Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL

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