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Quantum copying and simplification o...

Niu, Chi-Sheng.

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Quantum copying and simplification of the quantum Fourier transform.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Quantum copying and simplification of the quantum Fourier transform./
作者:	Niu, Chi-Sheng.
面頁冊數:	194 p.
附註:	Source: Dissertation Abstracts International, Volume: 60-02, Section: B, page: 0697.
Contained By:	Dissertation Abstracts International60-02B.
標題:	Physics, Elementary Particles and High Energy. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9918594
ISBN:	0599172037

Quantum copying and simplification of the quantum Fourier transform.
Niu, Chi-Sheng.

Quantum copying and simplification of the quantum Fourier transform. - 194 p.

Source: Dissertation Abstracts International, Volume: 60-02, Section: B, page: 0697.

Thesis (Ph.D.)--Carnegie Mellon University, 1998.

Theoretical studies of quantum computation and quantum information theory are presented in this thesis. Three topics are considered: simplification of the quantum Fourier transform in Shor's algorithm, optimal eavesdropping in the BB84 quantum cryptographic protocol, and quantum copying of one qubit.

ISBN: 0599172037Subjects--Topical Terms:

1019488
Physics, Elementary Particles and High Energy.

Quantum copying and simplification of the quantum Fourier transform.
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500 $a Source: Dissertation Abstracts International, Volume: 60-02, Section: B, page: 0697.
500 $a Adviser: Robert B. Griffiths.
502 $a Thesis (Ph.D.)--Carnegie Mellon University, 1998.
520 $a Theoretical studies of quantum computation and quantum information theory are presented in this thesis. Three topics are considered: simplification of the quantum Fourier transform in Shor's algorithm, optimal eavesdropping in the BB84 quantum cryptographic protocol, and quantum copying of one qubit.
520 $a The quantum Fourier transform preceding the final measurement in Shor's algorithm is simplified by replacing a network of quantum gates with one that has fewer and simpler gates controlled by classical signals. This simplification results from an analysis of the network using the consistent history approach to quantum mechanics.
520 $a The optimal amount of information which an eavesdropper can gain, for a given level of noise in the communication channel, is worked out for the BB84 quantum cryptographic protocol. The optimal eavesdropping strategy is expressed in terms of various quantum networks. A consistent history analysis of these networks using two conjugate quantum bases shows how the information gain in one basis influences the noise level in the conjugate basis.
520 $a The no-cloning property of quantum systems, which is the physics behind quantum cryptography, is studied by considering copying machines that generate two imperfect copies of one qubit. The best qualities these copies can have are worked out with the help of the Bloch sphere representation for one qubit, and a quantum network is worked out for an optimal copying machine. If the copying machine does not have additional ancillary qubits, the copying process can be viewed using a 2-dimensional subspace in a product space of two qubits. A special representation of such a two-dimensional subspace makes possible a complete characterization of this type of copying. This characterization in turn leads to simplified eavesdropping strategies in the BB84 and the B92 quantum cryptographic protocols.
590 $a School code: 0041.
650 4 $a Physics, Elementary Particles and High Energy. $3 1019488
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