Graduate The cnot with outer product control qubit

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The discussion revolves around the application of the CNOT gate in quantum computing, specifically with control qubit A and target qubit B. The poster seeks clarification on how the CNOT operates when applied to the state |1A> <0A|⊗|0B0C>. Participants reference Wikipedia for foundational information on the CNOT gate and its mechanics. The conversation highlights the importance of understanding qubit states and their interactions in quantum circuits. Overall, the thread aims to demystify the functioning of the CNOT gate in quantum systems.
Galaxion
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I have a simple question...the control qubit is A and the the target is B.
The cnot is applied on |1A> <0A|⊗|0B0C>.
...
How does it work.
Thanks in advance.
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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