# Single qubit measurementsΒΆ

Measurement-based quantum computation (MBQC) is a paradigm of quantum computing where the computation is performed by performing single-qubit measurements on a large entangled state known as a resource state. In MentPy, measurements are represented by the `mp.Ment`

class.

```
In [1]: m1 = mp.Ment('X')
In [2]: m1.matrix()
Out[2]:
array([[0, 1],
[1, 0]])
```

The `mp.Ment`

class can be initialized with a string representing a pauli operator, or with an optional angle and a string representing the plane of rotation. The default angle is `None`

which represents a trainable parameter. The default plane of rotation is `XY`

.

```
In [3]: m2 = mp.Ment(np.pi/2, 'XY')
In [4]: m2.matrix()
Out[4]:
array([[0.000000e+00+0.j, 6.123234e-17-1.j],
[6.123234e-17+1.j, 0.000000e+00+0.j]])
```

We can get the POVM elements of a measurement with the `get_povm()`

method

```
In [5]: p0, p1 = m2.get_povm()
In [6]: print(p0)
[[5.000000e-01+0.j 3.061617e-17-0.5j]
[3.061617e-17+0.5j 5.000000e-01+0.j ]]
In [7]: print(p1)
[[ 5.000000e-01+0.j -3.061617e-17+0.5j]
[-3.061617e-17-0.5j 5.000000e-01+0.j ]]
```

This object will be used as the basic building block for MBQC circuits.