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Gray code and the initialization problem of NMR quantum computers
Author(s) -
Sawae Ryuichi,
Sakata Toshio,
Tei Minaru,
Takarabe Kenichi,
Manmoto Yoshinori
Publication year - 2003
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10631
Subject(s) - initialization , quantum computer , qubit , computer science , quantum , code (set theory) , quantum gate , algorithm , quantum mechanics , physics , theoretical computer science , set (abstract data type) , programming language
Abstract The initialization of states is of importance in nuclear magnetic resonance quantum computing systems. In this article it is shown that the initialization of n ‐qubits states can be realized via a sequence of controlled‐not quantum gates from any mixed state. We present a general algorithm and its optimization to construct a circuit of controlled‐not quantum gates that realizes the initialization using the concept of Gray Codes. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003