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Linear Preparation Method of Pseudo-Pure States while Correcting Errors and Enhancing Signals for NMR Quantum Computer

Minaru Kawamura, H. Sakai, Yoshinori Manmoto +1 more

AIP conference proceedingsJan 1, 20090 citations

Preparation of pseudo-pure states by line-selective pulses in nuclear magnetic resonance

Xinhua Peng, Xiwen Zhu, Ximing Fang +4 more

arXiv:quant-ph/0012038Chemical Physics LettersJun 1, 200163 citations

Preparation of pseudo-pure states by line-selective pulses in Nuclear Magnetic Resonance

Xinhua Peng, Xiwen Zhu, Ximing Fang +4 more

A new method of preparing the pseudo-pure state of a spin system for quantum computation in liquid nuclear magnetic resonance (NMR) was put forward and demonstrated experimentally. Applying appropriately connected line-selective pulses simultaneously and a field gradient pulse techniques we acquired straightforwardly all pseudo-pure states for two qubits in a single experiment much efficiently. The signal intensity with the pseudo-pure state prepared in this way is the same as that of temporal averaging. Our method is suitable for the system with arbitrary numbers of qubits. As an example of application, a highly structured search algorithm—-Hogg’s algorithm was also performed on the pseudo-pure state | 00 〉 prepared by our method.A new method of preparing the pseudo-pure state of a spin system for quantum computation in liquid nuclear magnetic resonance (NMR) was put forward and demonstrated experimentally. Applying appropriately connected line-selective pulses simultaneously and a field gradient pulse techniques we acquired straightforwardly all pseudo-pure states for two qubits in a single experiment much efficiently. The signal intensity with the pseudo-pure state prepared in this way is the same as that of temporal averaging. Our method is suitable for the system with arbitrary numbers of qubits. As an example of application, a highly structured search algorithm—-Hogg’s algorithm was also performed on the pseudo-pure state | 00 〉 prepared by our method.

Jan 1, 200038 citations

Efficient algorithms for NMR quantum computers with small qubits

Noboru Kunihiro, Shigeru Yamashita

New Generation ComputingDec 1, 20030 citations

Fast preparation method of effective pure states for NMR‐quantum computer with controlled‐not gates

Minaru Kawamura, Ryuichi Sawae, Takashi Kumaya +3 more

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, 2004Abstract 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 ChemistryAug 30, 20047 citations

Investigations of Entangled States in NMR Quantum Computing

Terri M. Yu, Joshua Powell, Isaac L. Chuang

APSMar 1, 20030 citations

Preparation of pseudo-pure states for NMR quantum computing with one ancillary qubit

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