August 2020
Intermediate to advanced
582 pages
17h 59m
English
Content preview from Quantum ComputingBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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NOT (X) Gate
Formally, the NOT gate belongs to the Pauli family of quantum gates and is also called the Pauli-X gate. Hence, the gate is often labeled with an X. (In Universal Quantum Gates, we’ll see why the Pauli-X or X gate is fittingly called the NOT gate.) The other gates in this family are the Pauli-Y and the Pauli-Z gates, which we’ll discuss in Chapter 7, Small Step for Man—Single Qubit Programs. For more information, see Section 2.4.1.1 in Explorations in Quantum Computing [Wil11].
Think of the NOT gate as a switcher—its sole purpose is to replace the state on the qubit from one to the other. Although this seems simple, this gate plays a large role in quantum programs.
In a binary system, if, for instance, a bit is “NOT 1,” ...
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