# Three-Qubit W-States on a Quantum Computer

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The W-state

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Contributed by: S. M. Blinder (August 2022)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A quantum circuit that generates a 3-qubit W-state uses an -rotation gate, a controlled Hadamard gate, two CNOT gates and an X gate. The angle of rotation . The rotation matrix is given by

.

Thus

,

which sets up the sequence of transformations leading to the W-state.

References

[1] Wikipedia. "W State." (Jun 15, 2022) en.wikipedia.org/wiki/W_state.

[2] W. Dür, G. Vidal and J. I. Cirac, "Three Qubits Can Be Entangled in Two Inequivalent Ways," *Physical Review A*, 62(6), 2000 062314. doi:10.1103/PhysRevA.62.062314.

[3] A. Cabello, "Bell’s Theorem with and without Inequalities for the Three-Qubit Greenberger–Horne–Zeilinger and *W* States," *Physical Review A* 65(3), 2002 32108. doi:10.1103/PhysRevA.65.032108.

## Permanent Citation