Quantum teleportation of qudits by means of generalized quasi-Bell states of light

OPTICS COMMUNICATIONS

卷:447

Article

Horoshko, D. B.^1,2  Patera, G.¹  Kolobov, M., I¹ 

[1] Univ Lille, CNRS, UMR 8523, PhLAM Phys Lasers Atomes & Mol, F-59000 Lille, France

[2] NASB, BI Stepanov Inst Phys, Nezavisimosti Ave 68, Minsk 220072, BELARUS

关键词: Bell states;    Entanglement;    Qudits;    Schrodinger cat;    Teleportation;   

DOI  :  10.1016/j.optcom.2019.04.088

来源: Elsevier

【 摘 要 】

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 creates a theoretical framework for 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. We show that these states 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 using a state of this class as a shared resource, one can teleport a superposition of coherent states on the circle (a qudit). Differently from some other existing protocols of quantum teleportation, the proposed protocol provides the unit fidelity for all input states of the qudit. We calculate the probability of success for this type of teleportation and show that it approaches unity for the average number of photons in one component above N-2. Thus, the teleportation protocol can be made unit-fidelity and deterministic at finite resources.

【 授权许可】

Free