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---
title: Z2Symmetries
description: API reference for qiskit.opflow.primitive_ops.Z2Symmetries
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.opflow.primitive_ops.Z2Symmetries
---
# Z2Symmetries
<Class id="qiskit.opflow.primitive_ops.Z2Symmetries" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.18/qiskit/opflow/primitive_ops/tapered_pauli_sum_op.py" signature="Z2Symmetries(symmetries, sq_paulis, sq_list, tapering_values=None)" modifiers="class">
Bases: `object`
Z2 Symmetries
**Parameters**
* **symmetries** (`List`\[`Pauli`]) the list of Pauli objects representing the Z\_2 symmetries
* **sq\_paulis** (`List`\[`Pauli`]) the list of single - qubit Pauli objects to construct the Clifford operators
* **sq\_list** (`List`\[`int`]) the list of support of the single-qubit Pauli objects used to build the Clifford operators
* **tapering\_values** (`Optional`\[`List`\[`int`]]) values determines the sector.
**Raises**
[**OpflowError**](qiskit.opflow.OpflowError "qiskit.opflow.OpflowError") Invalid paulis
## Methods Defined Here
### consistent\_tapering
<Function id="qiskit.opflow.primitive_ops.Z2Symmetries.consistent_tapering" signature="Z2Symmetries.consistent_tapering(operator)">
Tapering the operator with the same manner of how this tapered operator is created. i.e., using the same Cliffords and tapering values.
**Parameters**
**operator** (`PauliSumOp`) the to-be-tapered operator
**Return type**
`OperatorBase`
**Returns**
The tapered operator
**Raises**
[**OpflowError**](qiskit.opflow.OpflowError "qiskit.opflow.OpflowError") The given operator does not commute with the symmetry
</Function>
### copy
<Function id="qiskit.opflow.primitive_ops.Z2Symmetries.copy" signature="Z2Symmetries.copy()">
Get a copy of self. :rtype: `Z2Symmetries` :returns: copy
</Function>
### find\_Z2\_symmetries
<Function id="qiskit.opflow.primitive_ops.Z2Symmetries.find_Z2_symmetries" signature="Z2Symmetries.find_Z2_symmetries(operator)" modifiers="classmethod">
Finds Z2 Pauli-type symmetries of an Operator.
**Return type**
`Z2Symmetries`
**Returns**
a z2\_symmetries object contains symmetries, single-qubit X, single-qubit list.
</Function>
### is\_empty
<Function id="qiskit.opflow.primitive_ops.Z2Symmetries.is_empty" signature="Z2Symmetries.is_empty()">
Check the z2\_symmetries is empty or not. :rtype: `bool` :returns: Empty or not
</Function>
### taper
<Function id="qiskit.opflow.primitive_ops.Z2Symmetries.taper" signature="Z2Symmetries.taper(operator)">
Taper an operator based on the z2\_symmetries info and sector defined by tapering\_values. The tapering\_values will be stored into the resulted operator for a record.
**Parameters**
**operator** (`PauliSumOp`) the to-be-tapered operator.
**Returns**
\[:class\`PauliSumOp\`]; otherwise, [`PauliSumOp`](qiskit.opflow.primitive_ops.PauliSumOp "qiskit.opflow.primitive_ops.PauliSumOp")
**Return type**
If tapering\_values is None
**Raises**
[**OpflowError**](qiskit.opflow.OpflowError "qiskit.opflow.OpflowError") Z2 symmetries, single qubit pauli and single qubit list cannot be empty
</Function>
## Attributes
### cliffords
<Attribute id="qiskit.opflow.primitive_ops.Z2Symmetries.cliffords">
Get clifford operators, build based on symmetries and single-qubit X. :rtype: `List`\[`PauliSumOp`] :returns: a list of unitaries used to diagonalize the Hamiltonian.
</Attribute>
### settings
<Attribute id="qiskit.opflow.primitive_ops.Z2Symmetries.settings">
Return operator settings.
**Return type**
`Dict`
</Attribute>
### sq\_list
<Attribute id="qiskit.opflow.primitive_ops.Z2Symmetries.sq_list">
returns sq list
</Attribute>
### sq\_paulis
<Attribute id="qiskit.opflow.primitive_ops.Z2Symmetries.sq_paulis">
returns sq paulis
</Attribute>
### symmetries
<Attribute id="qiskit.opflow.primitive_ops.Z2Symmetries.symmetries">
return symmetries
</Attribute>
### tapering\_values
<Attribute id="qiskit.opflow.primitive_ops.Z2Symmetries.tapering_values">
returns tapering values
</Attribute>
</Class>