Quantum logic coding efficiently enhances the noise immunity of quantum systems.A quantum logical qubit using multiple degrees of freedom(DOFs)of a photon is concise,and it can reduce resource consumption compared with a quantum logical qubit using multiple photons in one DOF.In this study,two logical Bell state measurement schemes are proposed for photon systems in momentum and polarization DOFs with linear optical elements,namely,momentum polarization logical Bell state measurement assisted by W-state and self-assisted momentum polarization logical Bell state measurement.In the first scheme,parity measurements on momentum and polarization DOFs are performed simultaneously using an auxiliary four-photon W-state.The even-parity logical Bell states can be distinguished by photon detector results,resulting in a success rate of 12.5%.The second scheme does not require an auxiliary entangled photon state,and the even-parity logical Bell states can be completely distinguished by simple linear optical elements and photon detector results with a success rate of 50%.These two linear optical momentum polarization logical Bell state measurement schemes are easier to implement experimentally than the nonlinear optical schemes,and their applications in quantum communication protocols are crucial.
关键词
逻辑Bell态/Bell态测量/光子多自由度/量子通信
Key words
logical Bell state/Bell state measurement/multiple degrees of freedom of photon system/quantum communication