摘要We propose an experimental scheme to realize the four-dimensional projective measurements for a single photon. The photon polarization and time--energy provide the four-dimensional Hilbert space. Based on this scheme, we suggest an experiment to test the violation of Bell inequalities of four-dimensional systems. In addition, by virtue of a maximally entangled biphoton state, we also show that it is possible to construct a quantum key distribution channel that can provide two-bit key with one pair of entangled photons.
Abstract:We propose an experimental scheme to realize the four-dimensional projective measurements for a single photon. The photon polarization and time--energy provide the four-dimensional Hilbert space. Based on this scheme, we suggest an experiment to test the violation of Bell inequalities of four-dimensional systems. In addition, by virtue of a maximally entangled biphoton state, we also show that it is possible to construct a quantum key distribution channel that can provide two-bit key with one pair of entangled photons.
[1] Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777 [2] Bell J S 1964 Speakable and Unspeakable in QuantumMechanics (Cambridge: Cambridge University Press) [3] Nielsen M A and Chuang I L 2000 Quantum Computationand Quantum Information (Cambridge: Cambridge University Press) [4] Clauser J F et al 1969 Phys. Rev. Lett. 23 880 [5] Collins D et al 2002 Phys. Rev. Lett. 88 040404 [6] Howell J C et al 2002 Phys. Rev. Lett. 88 030401 [7] Vaziri A et al 2002 Phys. Rev. Lett. 89 240401 [8 Thew R T et al 2004 Phys. Rev. Lett. 93 010503 [9] Sun F W et al 2007 Phys. Rev. A 76 052303 [10] Ac\'{\in A et al 2002 Phys. Rev. A 65 052325