Some Novel Thought Experiments. Foundations of Quantum Mechanics

O. Akhavan

Table of contents :
Acknowledgements……Page 5
Abstract……Page 7
Preface……Page 10
Part I New suggested experiments related to the foundations of quantum mechanics……Page 12
Some of the major problems of SQM……Page 14
The quantum theory of motion……Page 17
Some new insights by BQM……Page 18
Some current objections to BQM……Page 22
Introduction……Page 25
Description of the proposed experiment……Page 26
Bohmian quantum mechanics prediction……Page 28
Statistical distribution of the center of mass coordinate around the x-axis……Page 31
Comparison between SQM and BQM at the ensemble level……Page 32
Quantum equilibrium hypothesis and our proposed experiment……Page 33
Approaching realization of the experiment……Page 35
Conclusions……Page 38
Introduction……Page 40
Description of the two-particle experiment……Page 41
Standard quantum mechanics predictions……Page 42
Bohmian predictions for the entangled case……Page 43
Bohmian predictions for the disentangled case……Page 45
Conclusions……Page 50
Part II New proposed experiments involving quantum information theory……Page 52
Quantum dense coding……Page 54
Quantum teleportation……Page 56
Introduction……Page 61
A representation for Bell states……Page 62
Alice’s encoding process……Page 65
Introducing basic gates and their realizability……Page 66
Bob’s decoding process……Page 69
A conceivable scheme for Bell state measurement……Page 71
The rate of classical information gain……Page 74
Conclusions……Page 76
Introduction……Page 78
A representation for Bell bases……Page 79
Unitary transformation of Bell bases……Page 80
General procedure for teleporting an object……Page 82
Alice’s Bell state measurement……Page 83
Teleportation of a 2-dimensional object using a planar quantum scanner……Page 85
Teleportation of the 3rd dimension using momentum basis……Page 86
Towards complete teleportation of a 3-dimensional object……Page 87
Momentum basic gates……Page 88
Momentum Bell state measurement……Page 92
Appendix……Page 94
A clarification on the definition of center of mass coordinate of the EPR pair……Page 97
Details on preparing and measuring processes for some initial cases……Page 99
A comment on dense coding in pairwise entangled case……Page 108
Curriculum Vitae……Page 110
Papers and Manuscripts by the Author……Page 111
Bibliography……Page 113