Proposal for a Loophole-Free Bell Test with Electron Spins of Donors in Silicon

Fang-Yu Hong, Shi-Jie Xiong, Yang Xiang, Wei Hua Tang

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DOI: 10.4236/jmp.2011.29128                

Abstract

So far, all experimental tests of Bell inequalities which must be satisfied by all local realistic hidden-variable theories and are violated by quantum mechanical predictions have left at least one loophole open. We propose a feasible setup allowing for a loophole-free test of the Bell inequalities. Two electron spin qubits of donors³¹P in a nanoscale silicon host in different cavities 300 m apart are entangled through a bright coherent light and postselections using homodyne measurements. The electron spins are then read out randomly and independently by Alice and Bob, respectively, with unity efficiency in less than 0.7 µs by using optically induced spin to charge transduction detected by radio-frequency single electron transistor. A violation of Bell inequality larger than 37% and 18% is achievable provided that the detection accuracy is 0.99 and 0.95, respectively.

Keywords

Bell Inequality, Loophole-Free Test, Donor Spin, Coherent Light

Conflicts of Interest

The authors declare no conflicts of interest.

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