Abstract
In the context of EPR-Bohm type experiments and spin detections confined to spacelike hypersurfaces, a local, deterministic and realistic model within a Friedmann-Robertson-Walker spacetime with a constant spatial curvature (S^3) is presented that describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remote contextuality, superdeterminism or backward causation. A singularity-free Clifford-algebraic representation of S^3 with vanishing spatial curvature and non-vanishing torsion is then employed to transform the model in a more elegant form. Several event-by-event numerical simulations of the model are presented, which confirm our analytical results with the accuracy of 4 parts in 10^4. Possible implications of our results for practical applications such as quantum security protocols and quantum computing are briefly discussed.
Highlights
According to the statistical ensemble interpretation of quantum theory, the wave function, which is obtained as a solution of Schrödinger’s equation, does not provide a complete description of an individual physical system but rather of an ensemble of similar physical systems
The authors of the experiment write: ‘‘... we have demonstrated the violation of a Bell-type inequality using massive, macroscopic optomechanical devices, thereby verifying the nonclassicality of their state without the need for a quantum description of our experiment.’’ To be sure, by nonclassicality the authors mean violation of local realism, and support this orthodox interpretation by providing a quantum mechanical description of their massive, macroscopic, mechanical system
CONCLUDING REMARKS In this paper we have shown that it is possible to reproduce the statistical predictions of quantum mechanics in a locally causal manner, at least for the simplest entangled state such as the EPR-Bohm state
Summary
According to the statistical ensemble interpretation of quantum theory, the wave function, which is obtained as a solution of Schrödinger’s equation, does not provide a complete description of an individual physical system but rather of an ensemble of similar physical systems. As noted by Zeilinger in his recent survey of such technologies [20], it is often not easy to foresee how fundamental results can turn out to have practical applications too As he recalls, rather surprisingly, experimental work following the purely philosophical questions concerning local realism did, in time, become an important ingredient in a number of applications in quantum information technology, including in the invention of quantum repeaters that may connect future quantum computers with each other at long distances [20]. Rather surprisingly, experimental work following the purely philosophical questions concerning local realism did, in time, become an important ingredient in a number of applications in quantum information technology, including in the invention of quantum repeaters that may connect future quantum computers with each other at long distances [20] Another application inspired by fundamental work is entanglement-based quantum cryptography. The open question is: How are the technological applications such as quantum computing, quantum cryptography, and quantum security protocols affected when the geometrical and topological properties of the quaternionic 3-sphere are taken into account? The quantitative results presented in this paper are likely to have serious implications for this question
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