# qiskit.aqua.operators.OperatorBase¶

class OperatorBase[Quellcode]

A base class for all Operators: PrimitiveOps, StateFns, ListOps, etc. Operators are defined as functions which take one complex binary function to another. These complex binary functions are represented by StateFns, which are themselves a special class of Operators taking only the Zero StateFn to the complex binary function they represent.

Operators can be used to construct complicated functions and computation, and serve as the building blocks for algorithms in Aqua.

abstract __init__()[Quellcode]

Initialize self. See help(type(self)) for accurate signature.

Methods

 Initialize self. add(other) Return Operator addition of self and other, overloaded by +. Return a new Operator equal to the Operator’s adjoint (conjugate transpose), overloaded by ~. 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(param_dict) Same as assign_parameters, but maintained for consistency with QuantumCircuit in Terra (which has both assign_parameters and bind_parameters). compose(other[, permutation, front]) Return Operator Composition between self and other (linear algebra-style: A@B(x) = A(B(x))), overloaded by @. equals(other) Evaluate Equality between Operators, overloaded by ==. eval([front]) Evaluate the Operator’s underlying function, either on a binary string or another Operator. mul(scalar) Returns the scalar multiplication of the Operator, overloaded by *, including support for Terra’s Parameters, which can be bound to values later (via bind_parameters). Return the Operator’s negation, effectively just multiplying by -1.0, overloaded by -. permute(permutation) Permutes the qubits of the operator. power(exponent) Return Operator composed with self multiple times, overloaded by **. Return a set of strings describing the primitives contained in the Operator. Try collapsing the Operator structure, usually after some type of conversion, e.g. tensor(other) Return tensor product between self and other, overloaded by ^. tensorpower(other) Return tensor product with self multiple times, overloaded by ^. to_legacy_op([massive]) Attempt to return the Legacy Operator representation of the Operator. to_matrix([massive]) Return NumPy representation of the Operator.

Attributes

 ENABLE_DEPRECATION INDENTATION num_qubits The number of qubits over which the Operator is defined. parameters Return a set of Parameter objects contained in the Operator.
abstract add(other)[Quellcode]

Return Operator addition of self and other, overloaded by +.

Parameter

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).

Rückgabetyp

OperatorBase

Rückgabe

An OperatorBase equivalent to the sum of self and other.

abstract adjoint()[Quellcode]

Return a new Operator equal to the Operator’s adjoint (conjugate transpose), overloaded by ~. For StateFns, this also turns the StateFn into a measurement.

Rückgabetyp

OperatorBase

Rückgabe

An OperatorBase equivalent to the adjoint of self.

abstract assign_parameters(param_dict)[Quellcode]

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 Terra’s 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.

Parameter

param_dict (Dict[ParameterExpression, Union[Number, ParameterExpression, List[Union[Number, ParameterExpression]]]]) – The dictionary of Parameters to replace, and values or lists of values by which to replace them.

Rückgabetyp

OperatorBase

Rückgabe

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.

bind_parameters(param_dict)[Quellcode]

Same as assign_parameters, but maintained for consistency with QuantumCircuit in Terra (which has both assign_parameters and bind_parameters).

Rückgabetyp

OperatorBase

abstract compose(other, permutation=None, front=False)[Quellcode]

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.

Parameter
• 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).

Rückgabetyp

OperatorBase

Rückgabe

An OperatorBase equivalent to the function composition of self and other.

abstract equals(other)[Quellcode]

Evaluate Equality between Operators, overloaded by ==. Only returns True if self and other are of the same representation (e.g. a DictStateFn and CircuitStateFn will never be equal, even if their vector representations are equal), their underlying primitives are equal (this means for ListOps, OperatorStateFns, or EvolvedOps the equality is evaluated recursively downwards), and their coefficients are equal.

Parameter

other (OperatorBase) – The OperatorBase to compare to self.

Rückgabetyp

bool

Rückgabe

A bool equal to the equality of self and other.

abstract eval(front=None)[Quellcode]

Evaluate the Operator’s 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 Operator’s 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).

If front is None, the matrix-representation of the operator is returned.

Parameter

front (Union[str, Dict[str, complex], OperatorBase, None]) – The bitstring, dict of bitstrings (with values being coefficients), or StateFn to evaluated by the Operator’s underlying function, or None.

Rückgabetyp

Union[OperatorBase, float, complex, list]

Rückgabe

The output of the Operator’s evaluation function. If self is a StateFn, the result is a float or complex. If self is an Operator (PrimitiveOp, ComposedOp, SummedOp, EvolvedOp, etc.), the result is a StateFn. If front is None, the matrix-representation of the operator is returned, which is a MatrixOp for the operators and a VectorStateFn for state-functions. 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.

abstract mul(scalar)[Quellcode]

Returns the scalar multiplication of the Operator, overloaded by *, including support for Terra’s Parameters, which can be bound to values later (via bind_parameters).

Parameter

scalar (Union[Number, ParameterExpression]) – The real or complex scalar by which to multiply the Operator, or the ParameterExpression to serve as a placeholder for a scalar factor.

Rückgabetyp

OperatorBase

Rückgabe

An OperatorBase equivalent to product of self and scalar.

neg()[Quellcode]

Return the Operator’s negation, effectively just multiplying by -1.0, overloaded by -.

Rückgabetyp

OperatorBase

Rückgabe

An OperatorBase equivalent to the negation of self.

abstract property 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.

Rückgabetyp

int

Rückgabe

The number of qubits accepted by the Operator’s underlying function.

abstract property parameters

Return a set of Parameter objects contained in the Operator.

abstract permute(permutation)[Quellcode]

Permutes the qubits of the operator.

Parameter

permutation (List[int]) – A list defining where each qubit should be permuted. The qubit at index j should be permuted to position permutation[j].

Rückgabetyp

OperatorBase

Rückgabe

A new OperatorBase containing the permuted operator.

Verursacht

AquaError – if indices do not define a new index for each qubit.

abstract power(exponent)[Quellcode]

Return Operator composed with self multiple times, overloaded by **.

Parameter

exponent (int) – The int number of times to compose self with itself.

Rückgabetyp

OperatorBase

Rückgabe

An OperatorBase equivalent to self composed with itself exponent times.

abstract primitive_strings()[Quellcode]

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.

Rückgabetyp

Set[str]

Rückgabe

A set of strings describing the primitives contained within the Operator.

abstract reduce()[Quellcode]

Try collapsing the Operator structure, usually after some type of conversion, e.g. trying to add Operators in a SummedOp or delete needless IGates in a CircuitOp. If no reduction is available, just returns self.

Rückgabe

The reduced OperatorBase.

abstract tensor(other)[Quellcode]

Return tensor product between self and other, overloaded by ^. Note: You must be conscious of Qiskit’s 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.

Parameter

other (OperatorBase) – The OperatorBase to tensor product with self.

Rückgabetyp

OperatorBase

Rückgabe

An OperatorBase equivalent to the tensor product of self and other.

abstract tensorpower(other)[Quellcode]

Return tensor product with self multiple times, overloaded by ^.

Parameter

other (int) – The int number of times to tensor product self with itself via tensorpower.

Rückgabetyp

Union[OperatorBase, int]

Rückgabe

An OperatorBase equivalent to the tensorpower of self by other.

abstract to_legacy_op(massive=False)[Quellcode]

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.

Rückgabetyp

LegacyBaseOperator

Rückgabe

The LegacyBaseOperator representing this Operator.

Verursacht

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.

abstract to_matrix(massive=False)[Quellcode]

Return NumPy representation of the Operator. Represents the evaluation of the Operator’s 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.

Rückgabetyp

ndarray

Rückgabe

The NumPy ndarray equivalent to this Operator.