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→Quantum States
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===Quantum States=== | ===Quantum States=== | ||
*<math>|+\rangle=\frac{1}{\sqrt{2}}(|0\rangle+|1\rangle),\quad |-\rangle=\frac{1}{\sqrt{2}}(|0\rangle-|1\rangle)</math></br> | *<math>|+\rangle=\frac{1}{\sqrt{2}}(|0\rangle+|1\rangle),\quad |-\rangle=\frac{1}{\sqrt{2}}(|0\rangle-|1\rangle)</math></br> | ||
* | *X basis: \{|+\rangle,|-\rangle\} | ||
* | *Z basis: \{|0\rangle,|1\rangle\} | ||
===Unitary Operations=== | ===Unitary Operations=== | ||
*X (NOT gate): <math>X|0\rangle\,\to\,\ |1\rangle,\quad X|1\rangle\,\to\,\ |0\rangle,\quad X|+\rangle\,\to\,\ |+\rangle,\quad *X|-\rangle\,\to\,\ -|-\rangle</math> | *X (NOT gate): <math>X|0\rangle\,\to\,\ |1\rangle,\quad X|1\rangle\,\to\,\ |0\rangle,\quad X|+\rangle\,\to\,\ |+\rangle,\quad *X|-\rangle\,\to\,\ -|-\rangle</math> | ||