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---
title: HamiltonianGate
description: API reference for qiskit.extensions.HamiltonianGate
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.extensions.HamiltonianGate
---
<span id="qiskit-extensions-hamiltoniangate" />
# qiskit.extensions.HamiltonianGate
<Class id="qiskit.extensions.HamiltonianGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.16/qiskit/extensions/hamiltonian_gate.py" signature="HamiltonianGate(data, time, label=None)" modifiers="class">
Class for representing evolution by a Hermitian Hamiltonian operator as a gate. This gate resolves to a UnitaryGate U(t) = exp(-1j \* t \* H), which can be decomposed into basis gates if it is 2 qubits or less, or simulated directly in Aer for more qubits.
Create a gate from a hamiltonian operator and evolution time parameter t
**Parameters**
* **data** (*matrix or* [*Operator*](qiskit.quantum_info.Operator "qiskit.quantum_info.Operator")) a hermitian operator.
* **time** (*float*) time evolution parameter.
* **label** (*str*) unitary name for backend \[Default: None].
**Raises**
**ExtensionError** if input data is not an N-qubit unitary operator.
### \_\_init\_\_
<Function id="qiskit.extensions.HamiltonianGate.__init__" signature="__init__(data, time, label=None)">
Create a gate from a hamiltonian operator and evolution time parameter t
**Parameters**
* **data** (*matrix or* [*Operator*](qiskit.quantum_info.Operator "qiskit.quantum_info.Operator")) a hermitian operator.
* **time** (*float*) time evolution parameter.
* **label** (*str*) unitary name for backend \[Default: None].
**Raises**
**ExtensionError** if input data is not an N-qubit unitary operator.
</Function>
## Methods
| | |
| ----------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------ |
| [`__init__`](#qiskit.extensions.HamiltonianGate.__init__ "qiskit.extensions.HamiltonianGate.__init__")(data, time\[, label]) | Create a gate from a hamiltonian operator and evolution time parameter t |
| [`add_decomposition`](#qiskit.extensions.HamiltonianGate.add_decomposition "qiskit.extensions.HamiltonianGate.add_decomposition")(decomposition) | Add a decomposition of the instruction to the SessionEquivalenceLibrary. |
| [`adjoint`](#qiskit.extensions.HamiltonianGate.adjoint "qiskit.extensions.HamiltonianGate.adjoint")() | Return the adjoint of the unitary. |
| [`assemble`](#qiskit.extensions.HamiltonianGate.assemble "qiskit.extensions.HamiltonianGate.assemble")() | Assemble a QasmQobjInstruction |
| [`broadcast_arguments`](#qiskit.extensions.HamiltonianGate.broadcast_arguments "qiskit.extensions.HamiltonianGate.broadcast_arguments")(qargs, cargs) | Validation and handling of the arguments and its relationship. |
| [`c_if`](#qiskit.extensions.HamiltonianGate.c_if "qiskit.extensions.HamiltonianGate.c_if")(classical, val) | Add classical condition on register classical and value val. |
| [`conjugate`](#qiskit.extensions.HamiltonianGate.conjugate "qiskit.extensions.HamiltonianGate.conjugate")() | Return the conjugate of the Hamiltonian. |
| [`control`](#qiskit.extensions.HamiltonianGate.control "qiskit.extensions.HamiltonianGate.control")(\[num\_ctrl\_qubits, label, ctrl\_state]) | Return controlled version of gate. |
| [`copy`](#qiskit.extensions.HamiltonianGate.copy "qiskit.extensions.HamiltonianGate.copy")(\[name]) | Copy of the instruction. |
| [`inverse`](#qiskit.extensions.HamiltonianGate.inverse "qiskit.extensions.HamiltonianGate.inverse")() | Return the adjoint of the unitary. |
| [`is_parameterized`](#qiskit.extensions.HamiltonianGate.is_parameterized "qiskit.extensions.HamiltonianGate.is_parameterized")() | Return True .IFF. |
| [`mirror`](#qiskit.extensions.HamiltonianGate.mirror "qiskit.extensions.HamiltonianGate.mirror")() | DEPRECATED: use instruction.reverse\_ops(). |
| [`power`](#qiskit.extensions.HamiltonianGate.power "qiskit.extensions.HamiltonianGate.power")(exponent) | Creates a unitary gate as gate^exponent. |
| [`qasm`](#qiskit.extensions.HamiltonianGate.qasm "qiskit.extensions.HamiltonianGate.qasm")() | Raise an error, as QASM is not defined for the HamiltonianGate. |
| [`repeat`](#qiskit.extensions.HamiltonianGate.repeat "qiskit.extensions.HamiltonianGate.repeat")(n) | Creates an instruction with gate repeated n amount of times. |
| [`reverse_ops`](#qiskit.extensions.HamiltonianGate.reverse_ops "qiskit.extensions.HamiltonianGate.reverse_ops")() | For a composite instruction, reverse the order of sub-instructions. |
| [`to_matrix`](#qiskit.extensions.HamiltonianGate.to_matrix "qiskit.extensions.HamiltonianGate.to_matrix")() | Return matrix for the unitary. |
| [`transpose`](#qiskit.extensions.HamiltonianGate.transpose "qiskit.extensions.HamiltonianGate.transpose")() | Return the transpose of the Hamiltonian. |
| [`validate_parameter`](#qiskit.extensions.HamiltonianGate.validate_parameter "qiskit.extensions.HamiltonianGate.validate_parameter")(parameter) | Hamiltonian parameter has to be an ndarray, operator or float. |
## Attributes
| | |
| ------------------------------------------------------------------------------------------------------------------------ | ----------------------------------------------------------------------------- |
| [`decompositions`](#qiskit.extensions.HamiltonianGate.decompositions "qiskit.extensions.HamiltonianGate.decompositions") | Get the decompositions of the instruction from the SessionEquivalenceLibrary. |
| [`definition`](#qiskit.extensions.HamiltonianGate.definition "qiskit.extensions.HamiltonianGate.definition") | Return definition in terms of other basic gates. |
| [`duration`](#qiskit.extensions.HamiltonianGate.duration "qiskit.extensions.HamiltonianGate.duration") | Get the duration. |
| [`label`](#qiskit.extensions.HamiltonianGate.label "qiskit.extensions.HamiltonianGate.label") | Return gate label |
| [`params`](#qiskit.extensions.HamiltonianGate.params "qiskit.extensions.HamiltonianGate.params") | return instruction params. |
| [`unit`](#qiskit.extensions.HamiltonianGate.unit "qiskit.extensions.HamiltonianGate.unit") | Get the time unit of duration. |
### add\_decomposition
<Function id="qiskit.extensions.HamiltonianGate.add_decomposition" signature="add_decomposition(decomposition)">
Add a decomposition of the instruction to the SessionEquivalenceLibrary.
</Function>
### adjoint
<Function id="qiskit.extensions.HamiltonianGate.adjoint" signature="adjoint()">
Return the adjoint of the unitary.
</Function>
### assemble
<Function id="qiskit.extensions.HamiltonianGate.assemble" signature="assemble()">
Assemble a QasmQobjInstruction
**Return type**
`Instruction`
</Function>
### broadcast\_arguments
<Function id="qiskit.extensions.HamiltonianGate.broadcast_arguments" signature="broadcast_arguments(qargs, cargs)">
Validation and handling of the arguments and its relationship.
For example, `cx([q[0],q[1]], q[2])` means `cx(q[0], q[2]); cx(q[1], q[2])`. This method yields the arguments in the right grouping. In the given example:
```python
in: [[q[0],q[1]], q[2]],[]
outs: [q[0], q[2]], []
[q[1], q[2]], []
```
The general broadcasting rules are:
> * If len(qargs) == 1:
>
> ```python
> [q[0], q[1]] -> [q[0]],[q[1]]
> ```
>
> * If len(qargs) == 2:
>
> ```python
> [[q[0], q[1]], [r[0], r[1]]] -> [q[0], r[0]], [q[1], r[1]]
> [[q[0]], [r[0], r[1]]] -> [q[0], r[0]], [q[0], r[1]]
> [[q[0], q[1]], [r[0]]] -> [q[0], r[0]], [q[1], r[0]]
> ```
>
> * If len(qargs) >= 3:
>
> ```python
> [q[0], q[1]], [r[0], r[1]], ...] -> [q[0], r[0], ...], [q[1], r[1], ...]
> ```
**Parameters**
* **qargs** (`List`) List of quantum bit arguments.
* **cargs** (`List`) List of classical bit arguments.
**Return type**
`Tuple`\[`List`, `List`]
**Returns**
A tuple with single arguments.
**Raises**
**CircuitError** If the input is not valid. For example, the number of arguments does not match the gate expectation.
</Function>
### c\_if
<Function id="qiskit.extensions.HamiltonianGate.c_if" signature="c_if(classical, val)">
Add classical condition on register classical and value val.
</Function>
### conjugate
<Function id="qiskit.extensions.HamiltonianGate.conjugate" signature="conjugate()">
Return the conjugate of the Hamiltonian.
</Function>
### control
<Function id="qiskit.extensions.HamiltonianGate.control" signature="control(num_ctrl_qubits=1, label=None, ctrl_state=None)">
Return controlled version of gate. See [`ControlledGate`](qiskit.circuit.ControlledGate "qiskit.circuit.ControlledGate") for usage.
**Parameters**
* **num\_ctrl\_qubits** (`Optional`\[`int`]) number of controls to add to gate (default=1)
* **label** (`Optional`\[`str`]) optional gate label
* **ctrl\_state** (`Union`\[`int`, `str`, `None`]) The control state in decimal or as a bitstring (e.g. 111). If None, use 2\*\*num\_ctrl\_qubits-1.
**Returns**
Controlled version of gate. This default algorithm uses num\_ctrl\_qubits-1 ancillae qubits so returns a gate of size num\_qubits + 2\*num\_ctrl\_qubits - 1.
**Return type**
[qiskit.circuit.ControlledGate](qiskit.circuit.ControlledGate "qiskit.circuit.ControlledGate")
**Raises**
**QiskitError** unrecognized mode or invalid ctrl\_state
</Function>
### copy
<Function id="qiskit.extensions.HamiltonianGate.copy" signature="copy(name=None)">
Copy of the instruction.
**Parameters**
**name** (*str*) name to be given to the copied circuit, if None then the name stays the same.
**Returns**
**a copy of the current instruction, with the name**
updated if it was provided
**Return type**
[qiskit.circuit.Instruction](qiskit.circuit.Instruction "qiskit.circuit.Instruction")
</Function>
### decompositions
<Attribute id="qiskit.extensions.HamiltonianGate.decompositions">
Get the decompositions of the instruction from the SessionEquivalenceLibrary.
</Attribute>
### definition
<Attribute id="qiskit.extensions.HamiltonianGate.definition">
Return definition in terms of other basic gates.
</Attribute>
### duration
<Attribute id="qiskit.extensions.HamiltonianGate.duration">
Get the duration.
</Attribute>
### inverse
<Function id="qiskit.extensions.HamiltonianGate.inverse" signature="inverse()">
Return the adjoint of the unitary.
</Function>
### is\_parameterized
<Function id="qiskit.extensions.HamiltonianGate.is_parameterized" signature="is_parameterized()">
Return True .IFF. instruction is parameterized else False
</Function>
### label
<Attribute id="qiskit.extensions.HamiltonianGate.label">
Return gate label
**Return type**
`str`
</Attribute>
### mirror
<Function id="qiskit.extensions.HamiltonianGate.mirror" signature="mirror()">
DEPRECATED: use instruction.reverse\_ops().
**Returns**
**a new instruction with sub-instructions**
reversed.
**Return type**
[qiskit.circuit.Instruction](qiskit.circuit.Instruction "qiskit.circuit.Instruction")
</Function>
### params
<Attribute id="qiskit.extensions.HamiltonianGate.params">
return instruction params.
</Attribute>
### power
<Function id="qiskit.extensions.HamiltonianGate.power" signature="power(exponent)">
Creates a unitary gate as gate^exponent.
**Parameters**
**exponent** (*float*) Gate^exponent
**Returns**
To which to\_matrix is self.to\_matrix^exponent.
**Return type**
[qiskit.extensions.UnitaryGate](qiskit.extensions.UnitaryGate "qiskit.extensions.UnitaryGate")
**Raises**
**CircuitError** If Gate is not unitary
</Function>
### qasm
<Function id="qiskit.extensions.HamiltonianGate.qasm" signature="qasm()">
Raise an error, as QASM is not defined for the HamiltonianGate.
</Function>
### repeat
<Function id="qiskit.extensions.HamiltonianGate.repeat" signature="repeat(n)">
Creates an instruction with gate repeated n amount of times.
**Parameters**
**n** (*int*) Number of times to repeat the instruction
**Returns**
Containing the definition.
**Return type**
[qiskit.circuit.Instruction](qiskit.circuit.Instruction "qiskit.circuit.Instruction")
**Raises**
**CircuitError** If n \< 1.
</Function>
### reverse\_ops
<Function id="qiskit.extensions.HamiltonianGate.reverse_ops" signature="reverse_ops()">
For a composite instruction, reverse the order of sub-instructions.
This is done by recursively reversing all sub-instructions. It does not invert any gate.
**Returns**
**a new instruction with**
sub-instructions reversed.
**Return type**
[qiskit.circuit.Instruction](qiskit.circuit.Instruction "qiskit.circuit.Instruction")
</Function>
### to\_matrix
<Function id="qiskit.extensions.HamiltonianGate.to_matrix" signature="to_matrix()">
Return matrix for the unitary.
</Function>
### transpose
<Function id="qiskit.extensions.HamiltonianGate.transpose" signature="transpose()">
Return the transpose of the Hamiltonian.
</Function>
### unit
<Attribute id="qiskit.extensions.HamiltonianGate.unit">
Get the time unit of duration.
</Attribute>
### validate\_parameter
<Function id="qiskit.extensions.HamiltonianGate.validate_parameter" signature="validate_parameter(parameter)">
Hamiltonian parameter has to be an ndarray, operator or float.
</Function>
</Class>