# cirq.ops.PhasedXZGate

A single qubit operation expressed as $Z^z Z^a X^x Z^{-a}$.

### Used in the notebooks

Used in the tutorials

The above expression is a matrix multiplication with time going to the left. In quantum circuit notation, this operation decomposes into this circuit:

───Z^(-a)──X^x──Z^a────Z^z───\$

The axis phase exponent (a) decides which axis in the XY plane to rotate around. The amount of rotation around that axis is decided by the x exponent (x). Then the z exponent (z) decides how much to phase the qubit.

axis_phase_exponent

x_exponent

z_exponent

## Methods

### controlled

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Returns a controlled version of this gate. If no arguments are specified, defaults to a single qubit control.

num_controls: Total number of control qubits. control_values: For which control qubit values to apply the sub gate. A sequence of length num_controls where each entry is an integer (or set of integers) corresponding to the qubit value (or set of possible values) where that control is enabled. When all controls are enabled, the sub gate is applied. If unspecified, control values default to 1. control_qid_shape: The qid shape of the controls. A tuple of the expected dimension of each control qid. Defaults to (2,) * num_controls. Specify this argument when using qudits.

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### num_qubits

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The number of qubits this gate acts on.

### on

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Returns an application of this gate to the given qubits.

Args
*qubits The collection of qubits to potentially apply the gate to.

### on_each

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Returns a list of operations applying the gate to all targets.

Args
*targets The qubits to apply this gate to.

Returns
Operations applying this gate to the target qubits.

Raises
ValueError if targets are not instances of Qid or List[Qid]. ValueError if the gate operates on two or more Qids.

### validate_args

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Checks if this gate can be applied to the given qubits.

By default checks that:

• inputs are of type Qid
• len(qubits) == num_qubits()
• qubit_i.dimension == qid_shape[i] for all qubits

Child classes can override. The child implementation should call super().validate_args(qubits) then do custom checks.

Args
qubits The sequence of qubits to potentially apply the gate to.

#### Throws:

• ValueError: The gate can't be applied to the qubits.

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### __call__

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Call self as a function.

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