Abstract
Hyper-parallel quantum computation is a promising and fruitful area of research with its high capacity and low loss rate characters. In this paper, we propose a heralded, compact, scalable, and deterministic error-rejecting scheme for implementing three-photon hyper-parallel Toffoli gate simultaneously acting on polarization and spatial degrees of freedom. It is a practical and unity gate without strong coupling strength limitations, since the undesired performances caused by the side leakage and the limited coupling strength are detected by the single-photon detectors. The success of our proposal can be heralded by the detectors, and the efficiency can be further improved by repeating the operation processes when the detectors are clicked. The evaluation of gate performance with experimental parameters shows that it is feasible with current experimental technology.
Highlights
Exploiting quantum mechanics and the superposition principle, quantum computers outperform classical computers on certain computationally demanding problems like searching databases[1,2], factoring large integers[3], quantum simulation and modeling[4]
Hyperentanglement is a potential resource in quantum information processing (QIP), and it can be used for some important applications[49]
The imperfect birefringent propagations of the incident photons induced by side leakage and the limited quantum dot (QD)-cavity coupling strength are taken into account
Summary
Exploiting quantum mechanics and the superposition principle, quantum computers outperform classical computers on certain computationally demanding problems like searching databases[1,2], factoring large integers[3], quantum simulation and modeling[4]. We propose a deterministic scheme for efficiently implementing self-error-rejecting optical hyper-parallel Toffoli gate on polarization and spatial DOFs, without using any auxiliary polarization DOFs. The imperfect birefringent propagations of the incident photons induced by side leakage and the limited QD-cavity coupling strength are taken into account.
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