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---
title: SummedOp
description: API reference for qiskit.aqua.operators.list_ops.SummedOp
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.aqua.operators.list_ops.SummedOp
---
# qiskit.aqua.operators.list\_ops.SummedOp
<Class id="qiskit.aqua.operators.list_ops.SummedOp" isDedicatedPage={true} github="https://github.com/qiskit-community/qiskit-aqua/tree/stable/0.9/qiskit/aqua/operators/list_ops/summed_op.py" signature="SummedOp(oplist, coeff=1.0, abelian=False)" modifiers="class">
A class for lazily representing sums of Operators. Often Operators cannot be efficiently added to one another, but may be manipulated further so that they can be later. This class holds logic to indicate that the Operators in `oplist` are meant to be added together, and therefore if they reach a point in which they can be, such as after evaluation or conversion to matrices, they can be reduced by addition.
**Parameters**
* **oplist** (`List`\[`OperatorBase`]) The Operators being summed.
* **coeff** (`Union`\[`int`, `float`, `complex`, `ParameterExpression`]) A coefficient multiplying the operator
* **abelian** (`bool`) Indicates whether the Operators in `oplist` are known to mutually commute.
### \_\_init\_\_
<Function id="qiskit.aqua.operators.list_ops.SummedOp.__init__" signature="__init__(oplist, coeff=1.0, abelian=False)">
**Parameters**
* **oplist** (`List`\[`OperatorBase`]) The Operators being summed.
* **coeff** (`Union`\[`int`, `float`, `complex`, `ParameterExpression`]) A coefficient multiplying the operator
* **abelian** (`bool`) Indicates whether the Operators in `oplist` are known to mutually commute.
</Function>
## Methods
| | |
| ---------------------------------------------------------------------------------------------------------------------------------------------------------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| [`__init__`](#qiskit.aqua.operators.list_ops.SummedOp.__init__ "qiskit.aqua.operators.list_ops.SummedOp.__init__")(oplist\[, coeff, abelian]) | **type oplist**`List`\[`OperatorBase`] |
| [`add`](#qiskit.aqua.operators.list_ops.SummedOp.add "qiskit.aqua.operators.list_ops.SummedOp.add")(other) | Return Operator addition of `self` and `other`, overloaded by `+`. |
| [`adjoint`](#qiskit.aqua.operators.list_ops.SummedOp.adjoint "qiskit.aqua.operators.list_ops.SummedOp.adjoint")() | Return a new Operator equal to the Operators adjoint (conjugate transpose), overloaded by `~`. |
| [`assign_parameters`](#qiskit.aqua.operators.list_ops.SummedOp.assign_parameters "qiskit.aqua.operators.list_ops.SummedOp.assign_parameters")(param\_dict) | Binds scalar values to any Terra `Parameters` in the coefficients or primitives of the Operator, or substitutes one `Parameter` for another. |
| [`bind_parameters`](#qiskit.aqua.operators.list_ops.SummedOp.bind_parameters "qiskit.aqua.operators.list_ops.SummedOp.bind_parameters")(param\_dict) | Same as assign\_parameters, but maintained for consistency with QuantumCircuit in Terra (which has both assign\_parameters and bind\_parameters). |
| [`collapse_summands`](#qiskit.aqua.operators.list_ops.SummedOp.collapse_summands "qiskit.aqua.operators.list_ops.SummedOp.collapse_summands")() | Return Operator by simplifying duplicate operators. |
| [`compose`](#qiskit.aqua.operators.list_ops.SummedOp.compose "qiskit.aqua.operators.list_ops.SummedOp.compose")(other\[, permutation, front]) | Return Operator Composition between self and other (linear algebra-style: A\@B(x) = A(B(x))), overloaded by `@`. |
| [`equals`](#qiskit.aqua.operators.list_ops.SummedOp.equals "qiskit.aqua.operators.list_ops.SummedOp.equals")(other) | Check if other is equal to self. |
| [`eval`](#qiskit.aqua.operators.list_ops.SummedOp.eval "qiskit.aqua.operators.list_ops.SummedOp.eval")(\[front]) | Evaluate the Operators underlying function, either on a binary string or another Operator. |
| [`exp_i`](#qiskit.aqua.operators.list_ops.SummedOp.exp_i "qiskit.aqua.operators.list_ops.SummedOp.exp_i")() | Return an `OperatorBase` equivalent to an exponentiation of self \* -i, e^(-i\*op). |
| [`log_i`](#qiskit.aqua.operators.list_ops.SummedOp.log_i "qiskit.aqua.operators.list_ops.SummedOp.log_i")(\[massive]) | Return a `MatrixOp` equivalent to log(H)/-i for this operator H. |
| [`mul`](#qiskit.aqua.operators.list_ops.SummedOp.mul "qiskit.aqua.operators.list_ops.SummedOp.mul")(scalar) | Returns the scalar multiplication of the Operator, overloaded by `*`, including support for Terras `Parameters`, which can be bound to values later (via `bind_parameters`). |
| [`neg`](#qiskit.aqua.operators.list_ops.SummedOp.neg "qiskit.aqua.operators.list_ops.SummedOp.neg")() | Return the Operators negation, effectively just multiplying by -1.0, overloaded by `-`. |
| [`permute`](#qiskit.aqua.operators.list_ops.SummedOp.permute "qiskit.aqua.operators.list_ops.SummedOp.permute")(permutation) | Permute the qubits of the operator. |
| [`power`](#qiskit.aqua.operators.list_ops.SummedOp.power "qiskit.aqua.operators.list_ops.SummedOp.power")(exponent) | Return Operator composed with self multiple times, overloaded by `**`. |
| [`primitive_strings`](#qiskit.aqua.operators.list_ops.SummedOp.primitive_strings "qiskit.aqua.operators.list_ops.SummedOp.primitive_strings")() | Return a set of strings describing the primitives contained in the Operator. |
| [`print_details`](#qiskit.aqua.operators.list_ops.SummedOp.print_details "qiskit.aqua.operators.list_ops.SummedOp.print_details")() | Print out the operator in details. |
| [`reduce`](#qiskit.aqua.operators.list_ops.SummedOp.reduce "qiskit.aqua.operators.list_ops.SummedOp.reduce")() | Try collapsing list or trees of sums. |
| [`tensor`](#qiskit.aqua.operators.list_ops.SummedOp.tensor "qiskit.aqua.operators.list_ops.SummedOp.tensor")(other) | Return tensor product between self and other, overloaded by `^`. |
| [`tensorpower`](#qiskit.aqua.operators.list_ops.SummedOp.tensorpower "qiskit.aqua.operators.list_ops.SummedOp.tensorpower")(other) | Return tensor product with self multiple times, overloaded by `^`. |
| [`to_circuit`](#qiskit.aqua.operators.list_ops.SummedOp.to_circuit "qiskit.aqua.operators.list_ops.SummedOp.to_circuit")() | Returns the quantum circuit, representing the SummedOp. |
| [`to_circuit_op`](#qiskit.aqua.operators.list_ops.SummedOp.to_circuit_op "qiskit.aqua.operators.list_ops.SummedOp.to_circuit_op")() | Returns an equivalent Operator composed of only QuantumCircuit-based primitives, such as `CircuitOp` and `CircuitStateFn`. |
| [`to_legacy_op`](#qiskit.aqua.operators.list_ops.SummedOp.to_legacy_op "qiskit.aqua.operators.list_ops.SummedOp.to_legacy_op")(\[massive]) | Attempt to return the Legacy Operator representation of the Operator. |
| [`to_matrix`](#qiskit.aqua.operators.list_ops.SummedOp.to_matrix "qiskit.aqua.operators.list_ops.SummedOp.to_matrix")(\[massive]) | Return NumPy representation of the Operator. |
| [`to_matrix_op`](#qiskit.aqua.operators.list_ops.SummedOp.to_matrix_op "qiskit.aqua.operators.list_ops.SummedOp.to_matrix_op")(\[massive]) | Returns an equivalent Operator composed of only NumPy-based primitives, such as `MatrixOp` and `VectorStateFn`. |
| [`to_pauli_op`](#qiskit.aqua.operators.list_ops.SummedOp.to_pauli_op "qiskit.aqua.operators.list_ops.SummedOp.to_pauli_op")(\[massive]) | Returns an equivalent Operator composed of only Pauli-based primitives, such as `PauliOp`. |
| [`to_spmatrix`](#qiskit.aqua.operators.list_ops.SummedOp.to_spmatrix "qiskit.aqua.operators.list_ops.SummedOp.to_spmatrix")() | Returns SciPy sparse matrix representation of the Operator. |
| [`traverse`](#qiskit.aqua.operators.list_ops.SummedOp.traverse "qiskit.aqua.operators.list_ops.SummedOp.traverse")(convert\_fn\[, coeff]) | Apply the convert\_fn to each node in the oplist. |
## Attributes
| | |
| --------------------------------------------------------------------------------------------------------------------------------- | -------------------------------------------------------------------------------------------------------------------------- |
| `ENABLE_DEPRECATION` | |
| `INDENTATION` | |
| [`abelian`](#qiskit.aqua.operators.list_ops.SummedOp.abelian "qiskit.aqua.operators.list_ops.SummedOp.abelian") | Whether the Operators in `oplist` are known to commute with one another. |
| [`coeff`](#qiskit.aqua.operators.list_ops.SummedOp.coeff "qiskit.aqua.operators.list_ops.SummedOp.coeff") | The scalar coefficient multiplying the Operator. |
| [`combo_fn`](#qiskit.aqua.operators.list_ops.SummedOp.combo_fn "qiskit.aqua.operators.list_ops.SummedOp.combo_fn") | The function defining how to combine `oplist` (or Numbers, or NumPy arrays) to produce the Operators underlying function. |
| [`distributive`](#qiskit.aqua.operators.list_ops.SummedOp.distributive "qiskit.aqua.operators.list_ops.SummedOp.distributive") | Indicates whether the ListOp or subclass is distributive under composition. |
| [`grad_combo_fn`](#qiskit.aqua.operators.list_ops.SummedOp.grad_combo_fn "qiskit.aqua.operators.list_ops.SummedOp.grad_combo_fn") | The gradient of `combo_fn`. |
| [`num_qubits`](#qiskit.aqua.operators.list_ops.SummedOp.num_qubits "qiskit.aqua.operators.list_ops.SummedOp.num_qubits") | The number of qubits over which the Operator is defined. |
| [`oplist`](#qiskit.aqua.operators.list_ops.SummedOp.oplist "qiskit.aqua.operators.list_ops.SummedOp.oplist") | The list of `OperatorBases` defining the underlying function of this Operator. |
| [`parameters`](#qiskit.aqua.operators.list_ops.SummedOp.parameters "qiskit.aqua.operators.list_ops.SummedOp.parameters") | Return a set of Parameter objects contained in the Operator. |
### abelian
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.abelian">
Whether the Operators in `oplist` are known to commute with one another.
**Return type**
`bool`
**Returns**
A bool indicating whether the `oplist` is Abelian.
</Attribute>
### add
<Function id="qiskit.aqua.operators.list_ops.SummedOp.add" signature="add(other)">
Return Operator addition of `self` and `other`, overloaded by `+`.
<Admonition title="Note" type="note">
This appends `other` to `self.oplist` without checking `other` is already included or not. If you want to simplify them, please use `simplify()`.
</Admonition>
**Parameters**
**other** (`OperatorBase`) An `OperatorBase` with the same number of qubits as self, and in the same Operator, State function, or Measurement category as self (i.e. the same type of underlying function).
**Return type**
`OperatorBase`
**Returns**
A `SummedOp` equivalent to the sum of self and other.
</Function>
### adjoint
<Function id="qiskit.aqua.operators.list_ops.SummedOp.adjoint" signature="adjoint()">
Return a new Operator equal to the Operators adjoint (conjugate transpose), overloaded by `~`. For StateFns, this also turns the StateFn into a measurement.
**Return type**
`OperatorBase`
**Returns**
An `OperatorBase` equivalent to the adjoint of self.
</Function>
### assign\_parameters
<Function id="qiskit.aqua.operators.list_ops.SummedOp.assign_parameters" signature="assign_parameters(param_dict)">
Binds scalar values to any Terra `Parameters` in the coefficients or primitives of the Operator, or substitutes one `Parameter` for another. This method differs from Terras `assign_parameters` in that it also supports lists of values to assign for a give `Parameter`, in which case self will be copied for each parameterization in the binding list(s), and all the copies will be returned in an `OpList`. If lists of parameterizations are used, every `Parameter` in the param\_dict must have the same length list of parameterizations.
**Parameters**
**param\_dict** (`dict`) The dictionary of `Parameters` to replace, and values or lists of values by which to replace them.
**Return type**
`OperatorBase`
**Returns**
The `OperatorBase` with the `Parameters` in self replaced by the values or `Parameters` in param\_dict. If param\_dict contains parameterization lists, this `OperatorBase` is an `OpList`.
</Function>
### bind\_parameters
<Function id="qiskit.aqua.operators.list_ops.SummedOp.bind_parameters" signature="bind_parameters(param_dict)">
Same as assign\_parameters, but maintained for consistency with QuantumCircuit in Terra (which has both assign\_parameters and bind\_parameters).
**Return type**
`OperatorBase`
</Function>
### coeff
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.coeff">
The scalar coefficient multiplying the Operator.
**Return type**
`Union`\[`int`, `float`, `complex`, `ParameterExpression`]
**Returns**
The coefficient.
</Attribute>
### collapse\_summands
<Function id="qiskit.aqua.operators.list_ops.SummedOp.collapse_summands" signature="collapse_summands()">
Return Operator by simplifying duplicate operators.
E.g., `SummedOp([2 * X ^ Y, X ^ Y]).collapse_summands() -> SummedOp([3 * X ^ Y])`.
**Return type**
`SummedOp`
**Returns**
A simplified `SummedOp` equivalent to self.
</Function>
### combo\_fn
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.combo_fn">
The function defining how to combine `oplist` (or Numbers, or NumPy arrays) to produce the Operators underlying function. For example, SummedOps combination function is to add all of the Operators in `oplist`.
**Return type**
`Callable`
**Returns**
The combination function.
</Attribute>
### compose
<Function id="qiskit.aqua.operators.list_ops.SummedOp.compose" signature="compose(other, permutation=None, front=False)">
Return Operator Composition between self and other (linear algebra-style: A\@B(x) = A(B(x))), overloaded by `@`.
Note: You must be conscious of Quantum Circuit vs. Linear Algebra ordering conventions. Meaning, X.compose(Y) produces an X∘Y on qubit 0, but would produce a QuantumCircuit which looks like
> -\[Y]-\[X]-
Because Terra prints circuits with the initial state at the left side of the circuit.
**Parameters**
* **other** (`OperatorBase`) The `OperatorBase` with which to compose self.
* **permutation** (`Optional`\[`List`\[`int`]]) `List[int]` which defines permutation on other operator.
* **front** (`bool`) If front==True, return `other.compose(self)`.
**Return type**
`OperatorBase`
**Returns**
An `OperatorBase` equivalent to the function composition of self and other.
</Function>
### distributive
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.distributive">
Indicates whether the ListOp or subclass is distributive under composition. ListOp and SummedOp are, meaning that (opv @ op) = (opv\[0] @ op + opv\[1] @ op) (using plus for SummedOp, list for ListOp, etc.), while ComposedOp and TensoredOp do not behave this way.
**Return type**
`bool`
**Returns**
A bool indicating whether the ListOp is distributive under composition.
</Attribute>
### equals
<Function id="qiskit.aqua.operators.list_ops.SummedOp.equals" signature="equals(other)">
Check if other is equal to self.
<Admonition title="Note" type="note">
This is not a mathematical check for equality. If `self` and `other` implement the same operation but differ in the representation (e.g. different type of summands) `equals` will evaluate to `False`.
</Admonition>
**Parameters**
**other** (`OperatorBase`) The other operator to check for equality.
**Return type**
`bool`
**Returns**
True, if other and self are equal, otherwise False.
**Examples**
```python
>>> from qiskit.aqua.operators import X, Z
>>> 2 * X == X + X
True
>>> X + Z == Z + X
True
```
</Function>
### eval
<Function id="qiskit.aqua.operators.list_ops.SummedOp.eval" signature="eval(front=None)">
Evaluate the Operators underlying function, either on a binary string or another Operator. A square binary Operator can be defined as a function taking a binary function to another binary function. This method returns the value of that function for a given StateFn or binary string. For example, `op.eval('0110').eval('1110')` can be seen as querying the Operators matrix representation by row 6 and column 14, and will return the complex value at those “indices.” Similarly for a StateFn, `op.eval('1011')` will return the complex value at row 11 of the vector representation of the StateFn, as all StateFns are defined to be evaluated from Zero implicitly (i.e. it is as if `.eval('0000')` is already called implicitly to always “indexing” from column 0).
ListOps eval recursively evaluates each Operator in `oplist`, and combines the results using the recombination function `combo_fn`.
**Parameters**
**front** (`Union`\[`str`, `Dict`\[`str`, `complex`], `OperatorBase`, `None`]) The bitstring, dict of bitstrings (with values being coefficients), or StateFn to evaluated by the Operators underlying function.
**Return type**
`Union`\[`OperatorBase`, `float`, `complex`, `list`]
**Returns**
The output of the `oplist` Operators evaluation function, combined with the `combo_fn`. If either self or front contain proper `ListOps` (not ListOp subclasses), the result is an n-dimensional list of complex or StateFn results, resulting from the recursive evaluation by each OperatorBase in the ListOps.
**Raises**
* **NotImplementedError** Raised if called for a subclass which is not distributive.
* **TypeError** Operators with mixed hierarchies, such as a ListOp containing both PrimitiveOps and ListOps, are not supported.
* **NotImplementedError** Attempting to call ListOps eval from a non-distributive subclass.
</Function>
### exp\_i
<Function id="qiskit.aqua.operators.list_ops.SummedOp.exp_i" signature="exp_i()">
Return an `OperatorBase` equivalent to an exponentiation of self \* -i, e^(-i\*op).
**Return type**
`OperatorBase`
</Function>
### grad\_combo\_fn
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.grad_combo_fn">
The gradient of `combo_fn`.
**Return type**
`Optional`\[`Callable`]
</Attribute>
### log\_i
<Function id="qiskit.aqua.operators.list_ops.SummedOp.log_i" signature="log_i(massive=False)">
Return a `MatrixOp` equivalent to log(H)/-i for this operator H. This function is the effective inverse of exp\_i, equivalent to finding the Hermitian Operator which produces self when exponentiated. For proper ListOps, applies `log_i` to all ops in oplist.
**Return type**
`OperatorBase`
</Function>
### mul
<Function id="qiskit.aqua.operators.list_ops.SummedOp.mul" signature="mul(scalar)">
Returns the scalar multiplication of the Operator, overloaded by `*`, including support for Terras `Parameters`, which can be bound to values later (via `bind_parameters`).
**Parameters**
**scalar** (`Union`\[`int`, `float`, `complex`, `ParameterExpression`]) The real or complex scalar by which to multiply the Operator, or the `ParameterExpression` to serve as a placeholder for a scalar factor.
**Return type**
`OperatorBase`
**Returns**
An `OperatorBase` equivalent to product of self and scalar.
</Function>
### neg
<Function id="qiskit.aqua.operators.list_ops.SummedOp.neg" signature="neg()">
Return the Operators negation, effectively just multiplying by -1.0, overloaded by `-`.
**Return type**
`OperatorBase`
**Returns**
An `OperatorBase` equivalent to the negation of self.
</Function>
### num\_qubits
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.num_qubits">
The number of qubits over which the Operator is defined. If `op.num_qubits == 5`, then `op.eval('1' * 5)` will be valid, but `op.eval('11')` will not.
**Return type**
`int`
**Returns**
The number of qubits accepted by the Operators underlying function.
</Attribute>
### oplist
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.oplist">
The list of `OperatorBases` defining the underlying function of this Operator.
**Return type**
`List`\[`OperatorBase`]
**Returns**
The Operators defining the ListOp
</Attribute>
### parameters
<Attribute id="qiskit.aqua.operators.list_ops.SummedOp.parameters">
Return a set of Parameter objects contained in the Operator.
</Attribute>
### permute
<Function id="qiskit.aqua.operators.list_ops.SummedOp.permute" signature="permute(permutation)">
Permute the qubits of the operator.
**Parameters**
**permutation** (`List`\[`int`]) A list defining where each qubit should be permuted. The qubit at index j should be permuted to position permutation\[j].
**Return type**
`ListOp`
**Returns**
A new ListOp representing the permuted operator.
**Raises**
[**AquaError**](qiskit.aqua.AquaError "qiskit.aqua.AquaError") if indices do not define a new index for each qubit.
</Function>
### power
<Function id="qiskit.aqua.operators.list_ops.SummedOp.power" signature="power(exponent)">
Return Operator composed with self multiple times, overloaded by `**`.
**Parameters**
**exponent** (`int`) The int number of times to compose self with itself.
**Return type**
`OperatorBase`
**Returns**
An `OperatorBase` equivalent to self composed with itself exponent times.
</Function>
### primitive\_strings
<Function id="qiskit.aqua.operators.list_ops.SummedOp.primitive_strings" signature="primitive_strings()">
Return a set of strings describing the primitives contained in the Operator. For example, `{'QuantumCircuit', 'Pauli'}`. For hierarchical Operators, such as `ListOps`, this can help illuminate the primitives represented in the various recursive levels, and therefore which conversions can be applied.
**Return type**
`Set`\[`str`]
**Returns**
A set of strings describing the primitives contained within the Operator.
</Function>
### print\_details
<Function id="qiskit.aqua.operators.list_ops.SummedOp.print_details" signature="print_details()">
Print out the operator in details. :returns: a formatted string describes the operator. :rtype: str
</Function>
### reduce
<Function id="qiskit.aqua.operators.list_ops.SummedOp.reduce" signature="reduce()">
Try collapsing list or trees of sums.
Tries to sum up duplicate operators and reduces the operators in the sum.
**Return type**
`OperatorBase`
**Returns**
A collapsed version of self, if possible.
</Function>
### tensor
<Function id="qiskit.aqua.operators.list_ops.SummedOp.tensor" signature="tensor(other)">
Return tensor product between self and other, overloaded by `^`. Note: You must be conscious of Qiskits big-endian bit printing convention. Meaning, X.tensor(Y) produces an X on qubit 0 and an Y on qubit 1, or X⨂Y, but would produce a QuantumCircuit which looks like
> -\[Y]- -\[X]-
Because Terra prints circuits and results with qubit 0 at the end of the string or circuit.
**Parameters**
**other** (`OperatorBase`) The `OperatorBase` to tensor product with self.
**Return type**
`OperatorBase`
**Returns**
An `OperatorBase` equivalent to the tensor product of self and other.
</Function>
### tensorpower
<Function id="qiskit.aqua.operators.list_ops.SummedOp.tensorpower" signature="tensorpower(other)">
Return tensor product with self multiple times, overloaded by `^`.
**Parameters**
**other** (`int`) The int number of times to tensor product self with itself via `tensorpower`.
**Return type**
`Union`\[`OperatorBase`, `int`]
**Returns**
An `OperatorBase` equivalent to the tensorpower of self by other.
</Function>
### to\_circuit
<Function id="qiskit.aqua.operators.list_ops.SummedOp.to_circuit" signature="to_circuit()">
Returns the quantum circuit, representing the SummedOp. In the first step, the SummedOp is converted to MatrixOp. This is straightforward for most operators, but it is not supported for operators containing parametrized PrimitiveOps (in that case, AquaError is raised). In the next step, the MatrixOp representation of SummedOp is converted to circuit. In most cases, if the summands themselves are unitary operators, the SummedOp itself is non-unitary and can not be converted to circuit. In that case, ExtensionError is raised in the underlying modules.
**Return type**
`QuantumCircuit`
**Returns**
The circuit representation of the summed operator.
**Raises**
* [**AquaError**](qiskit.aqua.AquaError "qiskit.aqua.AquaError") if SummedOp can not be converted to MatrixOp (e.g. SummedOp is composed of
* **parametrized PrimitiveOps**\*\*)\*\*\*\*\*\*
</Function>
### to\_circuit\_op
<Function id="qiskit.aqua.operators.list_ops.SummedOp.to_circuit_op" signature="to_circuit_op()">
Returns an equivalent Operator composed of only QuantumCircuit-based primitives, such as `CircuitOp` and `CircuitStateFn`.
**Return type**
`OperatorBase`
</Function>
### to\_legacy\_op
<Function id="qiskit.aqua.operators.list_ops.SummedOp.to_legacy_op" signature="to_legacy_op(massive=False)">
Attempt to return the Legacy Operator representation of the Operator. If self is a `SummedOp` of `PauliOps`, will attempt to convert to `WeightedPauliOperator`, and otherwise will simply convert to `MatrixOp` and then to `MatrixOperator`. The Legacy Operators cannot represent `StateFns` or proper `ListOps` (meaning not one of the `ListOp` subclasses), so an error will be thrown if this method is called on such an Operator. Also, Legacy Operators cannot represent unbound Parameter coeffs, so an error will be thrown if any are present in self.
Warn if more than 16 qubits to force having to set `massive=True` if such a large vector is desired.
**Return type**
`LegacyBaseOperator`
**Returns**
The `LegacyBaseOperator` representing this Operator.
**Raises**
**TypeError** self is an Operator which cannot be represented by a `LegacyBaseOperator`, such as `StateFn`, proper (non-subclass) `ListOp`, or an Operator with an unbound coeff Parameter.
</Function>
### to\_matrix
<Function id="qiskit.aqua.operators.list_ops.SummedOp.to_matrix" signature="to_matrix(massive=False)">
Return NumPy representation of the Operator. Represents the evaluation of the Operators underlying function on every combination of basis binary strings. Warn if more than 16 qubits to force having to set `massive=True` if such a large vector is desired.
**Return type**
`ndarray`
**Returns**
The NumPy `ndarray` equivalent to this Operator.
</Function>
### to\_matrix\_op
<Function id="qiskit.aqua.operators.list_ops.SummedOp.to_matrix_op" signature="to_matrix_op(massive=False)">
Returns an equivalent Operator composed of only NumPy-based primitives, such as `MatrixOp` and `VectorStateFn`.
**Return type**
`OperatorBase`
</Function>
### to\_pauli\_op
<Function id="qiskit.aqua.operators.list_ops.SummedOp.to_pauli_op" signature="to_pauli_op(massive=False)">
Returns an equivalent Operator composed of only Pauli-based primitives, such as `PauliOp`.
**Return type**
`OperatorBase`
</Function>
### to\_spmatrix
<Function id="qiskit.aqua.operators.list_ops.SummedOp.to_spmatrix" signature="to_spmatrix()">
Returns SciPy sparse matrix representation of the Operator.
**Return type**
`Union`\[`spmatrix`, `List`\[`spmatrix`]]
**Returns**
CSR sparse matrix representation of the Operator, or List thereof.
</Function>
### traverse
<Function id="qiskit.aqua.operators.list_ops.SummedOp.traverse" signature="traverse(convert_fn, coeff=None)">
Apply the convert\_fn to each node in the oplist.
**Parameters**
* **convert\_fn** (`Callable`) The function to apply to the internal OperatorBase.
* **coeff** (`Union`\[`int`, `float`, `complex`, `ParameterExpression`, `None`]) A coefficient to multiply by after applying convert\_fn. If it is None, self.coeff is used instead.
**Return type**
`OperatorBase`
**Returns**
The converted ListOp.
</Function>
</Class>