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Quantum information and computing in...
~
Muthukrishnan, Ashok.
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Quantum information and computing in multilevel systems.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Quantum information and computing in multilevel systems./
作者:
Muthukrishnan, Ashok.
面頁冊數:
189 p.
附註:
Source: Dissertation Abstracts International, Volume: 62-12, Section: B, page: 5789.
Contained By:
Dissertation Abstracts International62-12B.
標題:
Physics, Optics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3035613
ISBN:
9780493486987
Quantum information and computing in multilevel systems.
Muthukrishnan, Ashok.
Quantum information and computing in multilevel systems.
- 189 p.
Source: Dissertation Abstracts International, Volume: 62-12, Section: B, page: 5789.
Thesis (Ph.D.)--University of Rochester, 2002.
We have studied the extension of the new field of quantum computing to the multilevel domain, where the information is stored in a coherent superposition of more than two levels. Interference and entanglement, the hallmarks of quantum mechanics, are more strikingly present in a multilevel system, in the form of wave packets and decoherence. This thesis explores new tools and applications for multilevel quantum information processing in Rydberg atoms.
ISBN: 9780493486987Subjects--Topical Terms:
1018756
Physics, Optics.
Quantum information and computing in multilevel systems.
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Thesis (Ph.D.)--University of Rochester, 2002.
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We have studied the extension of the new field of quantum computing to the multilevel domain, where the information is stored in a coherent superposition of more than two levels. Interference and entanglement, the hallmarks of quantum mechanics, are more strikingly present in a multilevel system, in the form of wave packets and decoherence. This thesis explores new tools and applications for multilevel quantum information processing in Rydberg atoms.
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The quantum equivalent of a classical bit is a qubit, a two-level system. Quantum computational logic involves conditional unitary transforms on two qubits, which are the quantum analogs of logic gates in classical computer science. The multilevel extension of a qubit is a qudit, a d-level quantum system. We present several programs for universal quantum logic involving qudits, and physically motivate the formalism with examples from quantum control.
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Wave packets arise from multilevel quantum interference, and they give an interesting new perspective on quantum information stored in a multilevel system. We show that an alternative realization of a qudit in a quantum system is a set of d wave-packet states that are physically separated in time. The wave-packet basis is connected to the energy-level basis by a Fourier transform, a key ingredient of quantum algorithms. We apply these ideas to Rydberg atoms, and show that an appropriate coupling between such atoms enables a conceptually simpler implementation of the quantum version of the Fast Fourier transform algorithm.
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$a
Lastly we explore atomic angular momentum as a computational observable. Most of the states in the hydrogen atom are degenerate in energy but differ by discrete units of angular momentum. We show that using Laguerre-Gaussian laser modes, which possess orbital field angular momentum, these internal angular-momentum states in the atom can be entangled with its quantized center-of-mass angular momentum. We propose this entanglement as the building block for multilevel quantum computing using angular-momentum states.
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