How can you construct the different Bell states? For example $$\frac{|01⟩-|10⟩}{\sqrt{2}}$$


2 Answers 2


Firstly construct following circuit:

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Different Bell states are created according to input to the circuit follwingly:

  • input $|00\rangle$, output: $|\psi\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)$
  • input $|10\rangle$, output: $|\psi\rangle = \frac{1}{\sqrt{2}}(|00\rangle - |11\rangle)$
  • input $|01\rangle$, output: $|\psi\rangle = \frac{1}{\sqrt{2}}(|01\rangle + |10\rangle)$
  • input $|11\rangle$, output: $|\psi\rangle = \frac{1}{\sqrt{2}}(|01\rangle - |10\rangle)$

By a combination of Hadamard Gate and CNOT Gate.

Check the links below:




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