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数理解析研究所講究録

Preparation of effective pure states $\mid 00 \cdots 0 \rangle$ 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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Abstract A fast method to prepare effective pure states for NMR‐quantum computer in homo‐nuclear spin system is proposed. The temporal averaging method has been introduced to prepare an effective pure state in NMR‐quantum computer, but the method requires many experiments, whose number increases exponentially with the number of quantum bits (qubits), and it seems that a huge number of logical gates are required. The proposed method avoids this problem by eliminating a part of elements in the density matrices. This method requires only one ancillary qubit and two different experiments; the steps have been confirmed to be proportional to the number of qubits up to four‐qubit. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004

International Journal of Quantum Chemistry•Aug 30, 2004•7 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.
Abstract A fast method to prepare effective pure states for NMR‐quantum computer in homo‐nuclear spin system is proposed. The temporal averaging method has been introduced to prepare an effective pure state in NMR‐quantum computer, but the method requires many experiments, whose number increases exponentially with the number of quantum bits (qubits), and it seems that a huge number of logical gates are required. The proposed method avoids this problem by eliminating a part of elements in the density matrices. This method requires only one ancillary qubit and two different experiments; the steps have been confirmed to be proportional to the number of qubits up to four‐qubit. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004