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Computer Optics

All-fiber SWAP-CNOT gate for optical vortices

Баршак Елена Владимировна, Boris P. Lapin, Dmitriy Vikulin, S S Alieva, Constantine N. Alexeyev, M. A. Yavorsky

Published Dec 1, 2021• 9 citations
Publisher

Abstract

We study the propagation of optical vortices in a system which consists of a tandem of a multi-helical and twisted anisotropic fiber. We show that at certain resonance regimes of the optical fibers such a system allows one to control sign flipping of the topological charge and the circular polarization of the input optical vortex. Moreover, parameters of the multihelical and the twisted anisotropic fibers are established for the implementation of a logical operation that corresponds to the sequential executing of two fundamental SWAP and CNOT gates over the states of circularly polarized optical vortices.

DOI
10.18287/2412-6179-co-938

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We study the propagation of optical vortices in a system which consists of a tandem of a multi-helical and twisted anisotropic fiber. We show that at certain resonance regimes of the optical fibers such a system allows one to control sign flipping of the topological charge and the circular polarization of the input optical vortex. Moreover, parameters of the multihelical and the twisted anisotropic fibers are established for the implementation of a logical operation that corresponds to the sequential executing of two fundamental SWAP and CNOT gates over the states of circularly polarized optical vortices.
We demonstrate the ability to use multihelical and twisted anisotropic fibers to implement the all-fiber stable logical element controlled-controlled-NOT gate (Toffoli gate). In twisted anisotropic fibers, we imply the radial number and the topological charge of input optical vortex as the control bits and the circular polarization carries the target bit. In multihelical fiber, the circular polarization and the radial number carry the control bits, while the topological charge carries the target one.
We study the propagation of circularly-polarized optical vortices of higher order topological charges ℓ ≥ 2 in a sandwich of multihelical - anisotropic - multihelical fibers on the basis of the Jones formalism for modes with orbital angular momentum. We demonstrate that such a system can operate as the all - fiber two - bit SWAP as well as universal tree - bit controlled-SWAP (Fredkin) gates over states of optical vortices, in which the mode radial number carries the control bit, while circular polarization and topological charge are the controlled bits.
Implementation of quantum logic gates with linear optical elements plays a prominent role in quantum computing due to the relatively easier manipulation and realization. We present efficient schemes to implement controlled-NOT (CNOT) gate and controlled-swap (Fredkin) gate by solely using linear optics. We encode the control qubits and target qudits in photonic polarization (two-level) and spatial degrees of freedom (ddd-level), respectively. Based on the hybrid encoding, CNOT and Fredkin gates are constructed in a deterministic way without any borrowed ancillary photons or measurement-induced nonlinearities. Remarkably, the number of linear optics required to implement a CNOT gate has been reduced to one polarization beam splitter (PBS), while only ddd PBSs are necessary to implement a generalized Fredkin gate. The optical depths of all schemes are reduced to one and dimension-independent. Besides, the fidelity of our three-qubit Fredkin gate is higher than 99.7\% under realistic conditions, which is higher than the previous schemes.