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.

Highlights

  • Most working scientists hold fast to the concepts of “realism” according to which an external reality exists independent of observation and “locality” which means that local events cannot be affected by actions in space-like separated regions [1]

  • The EPR arguments about the physical reality of quantum systems is shifted from the realm of philosophy to the domain of experimental physics since 1964 when Bell and others constructed mathematical inequalities—one of the profound scientific discoveries of the 20th century [3,4], which must be satisfied by any theory based on the joint assumption of realism and locality and be violated by quantum mechanics

  • Many experiments [1,5,6,7,8,9,10,11,12] have since been done that are consistent with quantum mechanics and inconsistent with local realism

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Summary

Introduction

Most working scientists hold fast to the concepts of “realism” according to which an external reality exists independent of observation and “locality” which means that local events cannot be affected by actions in space-like separated regions [1]. Entanglement between the two qubits is created by using bright coherent-light pulses which interact with the donor atoms 31P through a weak dispersive light-matter interaction, respectively, via homodyne detections and postselections [24].

Results
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