Monday, September 21, 2020

Qubit Operation (2)

CNOT gate: to flip iff  (if and only if) the control quit is |1>, otherwise it does nothing. 


Entanglement:


⏐+ == [1/sqrt (2) * (|0> + |1>) == 0.707 |0> + 0.707 |1>

⏐- == [1/sqrt (2)] * (|0> - |1>)

X (a, b) = (b, a), NOT gate

|a, b> == |b, a>, see below qubit swap:


[a |0> + b |1>] |0> == a|00> + b|10>

|𝝍> == a |0> + b |1>

|𝝍>|𝝍> == a^2|00> + ab|01> + ab|10> + b^2|11>

Bell state (entanglement):







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