dorsal/arxiv
View SchemaSome Novel Thought Experiments Involving Foundations of Quantum Mechanics and Quantum Information
| Authors | Omid Akhavan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402141 |
| URL | https://arxiv.org/abs/quant-ph/0402141 |
Abstract
In this thesis, we have proposed some novel thought experiments involving foundations of quantum mechanics and quantum information theory, using quantum entanglement property. Concerning foundations of quantum mechanics, we have suggested some typical systems including two correlated particles which can distinguish between the two famous theories of quantum mechanics, i.e. the standard and Bohmian quantum mechanics, at the individual level of pair of particles. Meantime, the two theories present the same predictions at the ensemble level of particles. Regarding quantum information theory, two theoretical quantum communication schemes including quantum dense coding and quantum teleportation schemes have been proposed by using entangled spatial states of two EPR particles shared between two parties. It is shown that the rate of classical information gain in our dense coding scheme is greater than some previously proposed multi-qubit protocols by a logarithmic factor dependent on the dimension of Hilbert space. The proposed teleportation scheme can provide a complete wave function teleportation of an object having other degrees of freedom in our three-dimensional space, for the first time. All required unitary operators which are necessary in our state preparation and Bell state measurement processes are designed using symmetric normalized Hadamard matrix, some basic gates and one typical conditional gate, which are introduced here for the first time.
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"abstract": "In this thesis, we have proposed some novel thought experiments involving\nfoundations of quantum mechanics and quantum information theory, using quantum\nentanglement property. Concerning foundations of quantum mechanics, we have\nsuggested some typical systems including two correlated particles which can\ndistinguish between the two famous theories of quantum mechanics, i.e. the\nstandard and Bohmian quantum mechanics, at the individual level of pair of\nparticles. Meantime, the two theories present the same predictions at the\nensemble level of particles. Regarding quantum information theory, two\ntheoretical quantum communication schemes including quantum dense coding and\nquantum teleportation schemes have been proposed by using entangled spatial\nstates of two EPR particles shared between two parties. It is shown that the\nrate of classical information gain in our dense coding scheme is greater than\nsome previously proposed multi-qubit protocols by a logarithmic factor\ndependent on the dimension of Hilbert space. The proposed teleportation scheme\ncan provide a complete wave function teleportation of an object having other\ndegrees of freedom in our three-dimensional space, for the first time. All\nrequired unitary operators which are necessary in our state preparation and\nBell state measurement processes are designed using symmetric normalized\nHadamard matrix, some basic gates and one typical conditional gate, which are\nintroduced here for the first time.",
"arxiv_id": "quant-ph/0402141",
"authors": [
"Omid Akhavan"
],
"categories": [
"quant-ph"
],
"title": "Some Novel Thought Experiments Involving Foundations of Quantum Mechanics and Quantum Information",
"url": "https://arxiv.org/abs/quant-ph/0402141"
},
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