dorsal/arxiv
View SchemaEntanglement and the linearity of quantum mechanics
| Authors | G. Alber |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907104 |
| URL | https://arxiv.org/abs/quant-ph/9907104 |
Abstract
Optimal universal entanglement processes are discussed which entangle two quantum systems in an optimal way for all possible initial states. It is demonstrated that the linear character of quantum theory which enforces the peaceful coexistence of quantum mechanics and relativity imposes severe restrictions on the structure of the resulting optimally entangled states. Depending on the dimension of the one-particle Hilbert space such a universal process generates either a pure Bell state or mixed entangled states. In the limit of very large dimensions of the one-particle Hilbert space the von-Neumann entropy of the optimally entangled state differs from the one of the maximally mixed two-particle state by one bit only.
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"abstract": "Optimal universal entanglement processes are discussed which entangle two\nquantum systems in an optimal way for all possible initial states. It is\ndemonstrated that the linear character of quantum theory which enforces the\npeaceful coexistence of quantum mechanics and relativity imposes severe\nrestrictions on the structure of the resulting optimally entangled states.\nDepending on the dimension of the one-particle Hilbert space such a universal\nprocess generates either a pure Bell state or mixed entangled states. In the\nlimit of very large dimensions of the one-particle Hilbert space the\nvon-Neumann entropy of the optimally entangled state differs from the one of\nthe maximally mixed two-particle state by one bit only.",
"arxiv_id": "quant-ph/9907104",
"authors": [
"G. Alber"
],
"categories": [
"quant-ph"
],
"title": "Entanglement and the linearity of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9907104"
},
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