Heralded generation of symmetric and asymmetric entangled qudits with weak cross-Kerr nonlinearity

Abstract

High dimensional entangled states have attracted much more attentions, due to their strong nonlocality and much powerful capability for quantum information processing. By the methods presented in this paper, arbitrary forms entangled qudits including symmetric and asymmetric forms could be generated with the weak cross-Kerr nonlinearity. These schemes are heralded by the detections of single-photon detectors. If all the detectors do not register any single photons, the generation is success with the probability $1/n^M$ determined by dimension $n$ and partite $M$. Furthermore, these schemes work well even with the common photon number nonresolving detectors, therefore they are feasible with the current experimental technology.

3 figures, accepted version

References in corpus (8)

• 14-qubit entanglement: creation and coherence
• Efficient Toffoli Gates Using Qudits
• Novel schemes for measurement-based quantum computation
• Optical one-way quantum computing with a simulated valence-bond solid
• Experimental Realization of Polarization Qutrits from Non-Maximally Entangled States
• Quantum computation in correlation space and extremal entanglement
• Projection of two biphoton qutrits onto a maximally entangled state
• Efficient and flexible generation of entangled qudits with cross phase modulation

Cited by in corpus (1)

• Multiple multi-control unitary operations: implementation and applications