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数理解析研究所講究録

Preparation of effetive pure states |00…0> on an NMR quantum computer with any number of spins (Analytical Study of Quantum Information and Related Fields)

潮 坂口, 宏 小澤, 俊夫 福見

Published Apr 1, 2001• 0 citations
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Basing on the temporal averaging, schedules to prepare 3-qubit and 4-qubit pesudo-pure states in nuclear magnetic resonance (NMR) quantum computation are presented in this paper. Utilizing Lambda(n) (not) gate, our schedules reduced the experiment number that is needed to prepare pesudo-pure state in a homonuclear spin system: only three experiments are needed to prepare 3-qubit peudo-pure state; and only five experiments are needed to prepare 4-qubit peudo-pure state. Then we implemented the schedule for 3-qubit psudo-pure state in a chain-coupled spin system to confirm the schedule, and gave the simulation result of the schedule for the 4-qubit peudo-pure state.

•Jan 1, 2002•0 citations
Preparation of effective pure states ∣00⋯0⟩\mid 00 \cdots 0 \rangle∣00⋯0⟩ on an NMR quantum computer with any number of spins (Analytical Study of Quantum Information and Related Fields)
Preparation of effective pure states ∣00⋯0⟩\mid 00 \cdots 0 \rangle∣00⋯0⟩ on an NMR quantum computer with any number of spins (Analytical Study of Quantum Information and Related Fields)
A method is proposed to prepare an effective pure state corresponding to the pure state ∣0⟩|0\rangle∣0⟩ ∣0⟩|0\rangle∣0⟩ ⋯∣0⟩\cdots|0\rangle⋯∣0⟩ for any number of spins on a nuclear magnetic resonance quantum computer, where ∣0⟩|0\rangle∣0⟩ stands for the spin-up state of a nuclear spin.The method is based on the spatial labeling proposed by Cory et al.
Basing on the temporal averaging, schedules to prepare 3-qubit and 4-qubit pesudo-pure states in nuclear magnetic resonance (NMR) quantum computation are presented in this paper. Utilizing Lambda(n) (not) gate, our schedules reduced the experiment number that is needed to prepare pesudo-pure state in a homonuclear spin system: only three experiments are needed to prepare 3-qubit peudo-pure state; and only five experiments are needed to prepare 4-qubit peudo-pure state. Then we implemented the schedule for 3-qubit psudo-pure state in a chain-coupled spin system to confirm the schedule, and gave the simulation result of the schedule for the 4-qubit peudo-pure state.