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Quantificating the Entanglement of Quantum Graph State

Author: SuiYan
Tutor: ChenXiaoYu
School: Zhejiang Technology and Business University
Course: Signal and Information Processing
Keywords: Pester Measure Multi-component entanglement Figure state Iterative algorithm Recent product states
CLC: O413.1
Type: Master's thesis
Year: 2011
Downloads: 65
Quote: 0
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Abstract


Quantum information is quantum mechanics, computer science, information theory and cryptography and other basic disciplines fusion product. Quantum entanglement is a quantum information processing tasks almost all indispensable physical resource in quantum information theory for many applications such as quantum teleportation, with absolute confidentiality quantum key distribution performance, ultra-fast quantum computing and so need to take advantage of this entanglement characteristics, so entangled quantum information theory research is the core issue. Practice, we not only need to know whether a given resource is entangled, but also know how much entangled it contains, which is a measure of entanglement. In recent years, a measure of entanglement has attracted wide attention, but only two-quantum entanglement measure of the system to get a better solution, multi-component system of quantum entanglement measure even for multi-component pure state it is still a suspended without Solutions to the problem. At present, although many multi-component measurement methods have been proposed entanglement, as robust measure of entanglement, relative entropy measure of entanglement, geometric measure of entanglement, etc., but since these methods involve the problem of complex variables, the multi-component is the measure of entanglement becomes difficult. Fortunately A quantum information processing and widely applied multicomponent quantum state - Fig state and its value is expected to be entangled, FIG state is a one-way quantum computing resources specific algorithm model, quantum codes in the have wide applications in a stable subcode subset is constructed quantum codes methods. For the state diagram, the above-mentioned three kinds of multi-component is equal to the measure of entanglement. Figure entanglement measure is relatively simple, because you can use language to describe graphs. Currently, the figure entangled state research has just started, the latest research results are: the use of local transformation and classical communication method to determine the upper and lower bounds figure entanglement, this method can only determine the upper and lower bounds equal figure entanglement, But for the upper and lower bounds ranging entangled states can not give the exact figure entangled value only gives an entanglement range of values. This major work done: 1, Figure entanglement method for determining upper and lower bounds for the improved and simplified, and the language is described in Fig. 2, the upper and lower bounds for the entangled state diagram ranging presents a new method of calculating entanglement - iterative algorithm, iterative accuracy of less than 10-14. 3, using the iterative algorithm to complete 9 qubits, some 10 qubits, 11 qubits state diagram entanglement measure, including 9 qubits state diagram is not equivalent to the local complement graph has 440, 11 qubits state diagram is not equivalent to the local complement graph has more than 40,000. Upper and lower bounds for the entanglement of the various drawing states are not equal, the most recent product states will be showing a different structural features, we take non-integer values ??for entangled quantum state diagram the structure of recent product states were analyzed, grouped into several small types.

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