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Separability Criteria for Multi-mode Quantum Entanglement Systems

Author: DuXiaoFang
Tutor: PuZhongSheng
School: Lanzhou University of Technology
Course: Condensed Matter Physics
Keywords: Quantum entanglement Divisibility Heisenberg uncertainty relation Cauchy - Schwarz inequality Entanglement measure
CLC: O413.1
Type: Master's thesis
Year: 2009
Downloads: 61
Quote: 1
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Abstract


Quantum information science is developed rapidly in recent years, a new cross-disciplinary , it is quantum mechanics and information science product of the combination . Quantum states with non- classical phenomenon of quantum entanglement , quantum information which makes information impossible to achieve classic new features . It can be said , the purpose of quantum information research development and use is largely entangled , and thus the study of quantum entanglement is a very meaningful thing. Quantum entanglement is an important physical resources, quantify entanglement quantum information theory to become an important issue. In recent years, though quantify entanglement has attracted wide attention , but only low-dimensional quantum systems quantify entanglement got a better solution , high-dimensional quantum many-body quantum systems, especially systems quantify entanglement is still an open question , this thesis the main research of many-body quantum state separability . This thesis includes the following aspects: First, the review of quantum entanglement development process, such as the famous EPR paradox , Schr (o | ¨) dinger cat state , etc., introduces several typical quantum description of quantum information processing tasks entanglement as an important physical resource in quantum information theory application . Quantum entanglement and gives some basic concepts and common entanglement . Second , detailing two-body quantum systems separability criterion measure of entanglement . In this thesis, the Heisenberg uncertainty principle and the Cauchy - Schwarz inequality , through the operator variance different operations research , has been multi-mode continuous variable systems two separability criterion , contrary to the separability criterion was entangled state . And for derived two separability criterion coordinates were taken in the operator , momentum operator in the case were compared explained. The parameters satisfy certain conditions , one of which is stronger than the other one criterion . These two separability criterion in the detection of entanglement more operational aspects .

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Quantum theory > Quantum mechanics ( wave mechanics,matrix mechanics )
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