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Gray code and the initialization problem of NMR quantum computers



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