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# SparseVectorStateFn

`SparseVectorStateFn(primitive, coeff=1.0, is_measurement=False)`

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A class for sparse state functions and measurements in vector representation.

This class uses `scipy.sparse.spmatrix` for the internal representation.

Parameters

• primitive (`spmatrix`) – The underlying sparse vector.
• coeff (`Union`[`complex`, `ParameterExpression`]) – A coefficient multiplying the state function.
• is_measurement (`bool`) – Whether the StateFn is a measurement operator

Raises

• ValueError – If the primitive is not a column vector.
• ValueError – If the number of elements in the primitive is not a power of 2.

## Methods Defined Here

`SparseVectorStateFn.add(other)`

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

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

An `OperatorBase` equivalent to the sum of self and other.

`SparseVectorStateFn.adjoint()`

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

Return type

`SparseVectorStateFn`

Returns

An `OperatorBase` equivalent to the adjoint of self.

### equals

`SparseVectorStateFn.equals(other)`

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.

Parameters

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

Return type

`bool`

Returns

A bool equal to the equality of self and other.

### eval

`SparseVectorStateFn.eval(front=None)`

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.

Parameters

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

Return type

`Union`[`OperatorBase`, `complex`]

Returns

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.

### primitive_strings

`SparseVectorStateFn.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.

### sample

`SparseVectorStateFn.sample(shots=1024, massive=False, reverse_endianness=False)`

Sample the state function as a normalized probability distribution. Returns dict of bitstrings in order of probability, with values being probability.

Parameters

• shots (`int`) – The number of samples to take to approximate the State function.
• massive (`bool`) – Whether to allow large conversions, e.g. creating a matrix representing over 16 qubits.
• reverse_endianness (`bool`) – Whether to reverse the endianness of the bitstrings in the return dict to match Terra’s big-endianness.

Return type

`dict`

Returns

A dict containing pairs sampled strings from the State function and sampling frequency divided by shots.

### to_circuit_op

`SparseVectorStateFn.to_circuit_op()`

Convert this state function to a `CircuitStateFn`.

Return type

`OperatorBase`

### to_dict_fn

`SparseVectorStateFn.to_dict_fn()`

Convert this state function to a `DictStateFn`.

Return type

`StateFn`

Returns

A new DictStateFn equivalent to `self`.

### to_matrix

`SparseVectorStateFn.to_matrix(massive=False)`

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.

Return type

`ndarray`

Returns

The NumPy `ndarray` equivalent to this Operator.

### to_matrix_op

`SparseVectorStateFn.to_matrix_op(massive=False)`

Return a `VectorStateFn` for this `StateFn`.

Parameters

massive (`bool`) – Whether to allow large conversions, e.g. creating a matrix representing over 16 qubits.

Return type

`OperatorBase`

Returns

A VectorStateFn equivalent to self.

### to_spmatrix

`SparseVectorStateFn.to_spmatrix()`

Return SciPy sparse matrix representation of the Operator. Represents the evaluation of the Operator’s underlying function on every combination of basis binary strings.

Return type

`OperatorBase`

Returns

The SciPy `spmatrix` equivalent to this Operator.

## Attributes

`= '  '`

### coeff

A coefficient by which the state function is multiplied.

Return type

`Union`[`complex`, `ParameterExpression`]

### instance_id

Return the unique instance id.

Return type

`int`

### is_measurement

Whether the StateFn object is a measurement Operator.

Return type

`bool`

Return type

`int`

### primitive

`scipy.sparse._base.spmatrix`

The primitive which defines the behavior of the underlying State function.

Return settings.

Return type

`Dict`