Bi-directional mapping between polarization and spatially encoded photonic qutrits
arXiv:0905.3214 · doi:10.1103/PhysRevA.80.062312
Abstract
Qutrits, the triple level quantum systems in various forms, have been proposed for quantum information processing recently. By the methods presented in this paper a bi-photonic qutrit, which is encoded with the polarizations of two photons in the same spatial-temporal mode, can be mapped to a single photon qutrit in spatial modes. It will make arbitrary unitary operation on such bi-photonic qutrit possible if we can also realize the inverse map to polarization space. Among the two schemes proposed in this paper, the one based only on linear optics realizes an arbitrary U(3) operation with a very small success probability. However, if added with weak nonlinearity, the success probability can be greatly improved. These schemes are feasible with the current experimental technology.
8 pages, 5 figures, to be published in Phys. Rev. A
References in corpus (4)
Cited by in corpus (12)
- Efficient two-step entanglement concentration for arbitrary W states
- Cross-Kerr nonlinearity between continuous-mode coherent states and single photons
- Highly Efficient Processing Multi-photon States
- Remote information concentration and multipartite entanglement in multilevel systems
- Bloch sphere representation of three-vertex geometric phases
- Optical spin-1 chain and its use as a quantum computational wire
- Projection of two biphoton qutrits onto a maximally entangled state
- Heralded generation of symmetric and asymmetric entangled qudits with weak cross-Kerr nonlinearity
- Efficient and flexible generation of entangled qudits with cross phase modulation
- Multiple multi-control unitary operations: implementation and applications
- Transfer of quantum states and stationary quantum correlations in a hybrid optomechanical network
- Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator