Composites¶
The dimod package includes several example composed samplers.
Connected Components Composite¶
A composite that breaks the problem into subproblems corresponding to the connected components of the binary quadratic model graph before sending to its child sampler.
Class¶

class
ConnectedComponentsComposite
(child_sampler)[source]¶ Composite to decompose a problem to the connected components and solve each.
Connected components of a binary quadratic model (BQM) graph are computed (if not provided), and each subproblem is passed to the child sampler. Returned samples from each child sampler are merged. Only the best solution of each response is pick and merge with others (i.e. this composite returns a single solution).
Parameters: sampler ( dimod.Sampler
) – A dimod samplerExamples
This example uses
ConnectedComponentsComposite
to solve a simple Ising problem that can be separated into two components. This small example usesdimod.ExactSolver
and is just illustrative.>>> h = {} >>> J1 = {(1, 2): 1.0, (2, 3): 2.0, (3, 4): 3.0} >>> J2 = {(12, 13): 6} >>> sampler = dimod.ExactSolver() >>> sampler_ccc = dimod.ConnectedComponentsComposite(sampler) >>> e1 = sampler.sample_ising(h, J1).first.energy >>> e2 = sampler.sample_ising(h, J2).first.energy >>> e_ccc = sampler_ccc.sample_ising(h, {**J1, **J2}).first.energy >>> e_ccc == e1 + e2 True
Properties¶
ConnectedComponentsComposite.child 
The child sampler. 
ConnectedComponentsComposite.children 
List of child samplers that that are used by this composite. 
ConnectedComponentsComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
ConnectedComponentsComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
ConnectedComponentsComposite.sample (bqm[, …]) 
Sample from the provided binary quadratic model. 
ConnectedComponentsComposite.sample_ising (h, …) 
Sample from an Ising model using the implemented sample method. 
ConnectedComponentsComposite.sample_qubo (Q, …) 
Sample from a QUBO using the implemented sample method. 
Clip Composite¶
A composite that clips problem variables below and above threshold. if lower and upper bounds is not given it does nothing.
Class¶

class
ClipComposite
(child_sampler)[source]¶ Composite to clip variables of a problem.
Clips the variables of a binary quadratic model (BQM) and modifies linear and quadratic terms accordingly.
Parameters: sampler ( dimod.Sampler
) – A dimod sampler.Examples
This example uses
ClipComposite
to instantiate a composed sampler that submits a simple Ising problem to a sampler. The composed sampler clips linear and quadratic biases as indicated by options.>>> h = {'a': 4.0, 'b': 4.0} >>> J = {('a', 'b'): 3.2} >>> sampler = dimod.ClipComposite(dimod.ExactSolver()) >>> response = sampler.sample_ising(h, J, lower_bound=2.0, upper_bound=2.0)
Properties¶
ClipComposite.child 
The child sampler. 
ClipComposite.children 
List of child samplers that that are used by this composite. 
ClipComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
ClipComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
ClipComposite.sample (bqm[, lower_bound, …]) 
Clip and sample from the provided binary quadratic model. 
ClipComposite.sample_ising (h, J, **parameters) 
Sample from an Ising model using the implemented sample method. 
ClipComposite.sample_qubo (Q, **parameters) 
Sample from a QUBO using the implemented sample method. 
Fixed Variable Composite¶
A composite that fixes the variables provided and removes them from the binary quadratic model before sending to its child sampler.
Class¶

class
FixedVariableComposite
(child_sampler)[source]¶ Composite to fix variables of a problem to provided.
Fixes variables of a binary quadratic model (BQM) and modifies linear and quadratic terms accordingly. Returned samples include the fixed variable
Parameters: sampler ( dimod.Sampler
) – A dimod samplerExamples
This example uses
FixedVariableComposite
to instantiate a composed sampler that submits a simple Ising problem to a sampler. The composed sampler fixes a variable and modifies linear and quadratic biases according.>>> h = {1: 1.3, 4: 0.5} >>> J = {(1, 4): 0.6} >>> sampler = dimod.FixedVariableComposite(dimod.ExactSolver()) >>> sampleset = sampler.sample_ising(h, J, fixed_variables={1: 1})
Properties¶
FixedVariableComposite.child 
The child sampler. 
FixedVariableComposite.children 
List of child samplers that that are used by this composite. 
FixedVariableComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
FixedVariableComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
FixedVariableComposite.sample (bqm[, …]) 
Sample from the provided binary quadratic model. 
FixedVariableComposite.sample_ising (h, J, …) 
Sample from an Ising model using the implemented sample method. 
FixedVariableComposite.sample_qubo (Q, …) 
Sample from a QUBO using the implemented sample method. 
Roof Duality Composite¶
A composite that uses the roof duality algorithm [1] [2] to fix some variables in the binary quadratic model before passing it on to its child sampler.
[1]  Boros, E., P.L. Hammer, G. Tavares. Preprocessing of Unconstrained Quadratic Binary Optimization. Rutcor Research Report 102006, April, 2006. 
[2]  Boros, E., P.L. Hammer. PseudoBoolean optimization. Discrete Applied Mathematics 123, (2002), pp. 155225 
Class¶

class
RoofDualityComposite
(child_sampler)[source]¶ Uses roof duality to assign some variables before invoking child sampler.
Uses the
fix_variables()
function to determine variable assignments, then fixes them before calling the child sampler. Returned samples include the fixed variables.Parameters: child ( dimod.Sampler
) – A dimod sampler. Used to sample the binary quadratic model after variables have been fixed.
Properties¶
RoofDualityComposite.child 
The child sampler. 
RoofDualityComposite.children 
List of child samplers that that are used by this composite. 
RoofDualityComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
RoofDualityComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
RoofDualityComposite.sample (bqm[, sampling_mode]) 
Sample from the provided binary quadratic model. 
RoofDualityComposite.sample_ising (h, J, …) 
Sample from an Ising model using the implemented sample method. 
RoofDualityComposite.sample_qubo (Q, **parameters) 
Sample from a QUBO using the implemented sample method. 
Scale Composite¶
A composite that scales problem variables as directed. If a scaling value is not specified, calculates it based on quadratic and bias ranges.
Class¶

class
ScaleComposite
(child_sampler)[source]¶ Composite that scales variables of a problem.
Scales the variables of a binary quadratic model (BQM) and modifies linear and quadratic terms accordingly.
Parameters: sampler ( dimod.Sampler
) – A dimod sampler.Examples
This example uses
ScaleComposite
to instantiate a composed sampler that submits a simple Ising problem to a sampler. The composed sampler scales linear biases, quadratic biases, and offset as indicated by options.>>> h = {'a': 4.0, 'b': 4.0} >>> J = {('a', 'b'): 3.2} >>> sampler = dimod.ScaleComposite(dimod.ExactSolver()) >>> response = sampler.sample_ising(h, J, scalar=0.5, ... ignored_interactions=[('a','b')])
Properties¶
ScaleComposite.child 
The child sampler. 
ScaleComposite.children 
List of child samplers that that are used by this composite. 
ScaleComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
ScaleComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
ScaleComposite.sample (bqm[, scalar, …]) 
Scale and sample from the provided binary quadratic model. 
ScaleComposite.sample_ising (h, J, **parameters) 
Sample from an Ising model using the implemented sample method. 
ScaleComposite.sample_qubo (Q, **parameters) 
Sample from a QUBO using the implemented sample method. 
Spin Reversal Transform Composite¶
On the DWave system, coupling \(J_{i,j}\) adds a small bias to qubits \(i\) and \(j\) due to leakage. This can become significant for chained qubits. Additionally, qubits are biased to some small degree in one direction or another. Applying a spinreversal transform can improve results by reducing the impact of possible analog and systematic errors. A spinreversal transform does not alter the Ising problem; the transform simply amounts to reinterpreting spin up as spin down, and visaversa, for a particular spin.
Class¶

class
SpinReversalTransformComposite
(child)[source]¶ Composite for applying spin reversal transform preprocessing.
Spin reversal transforms (or “gauge transformations”) are applied by flipping the spin of variables in the Ising problem. After sampling the transformed Ising problem, the same bits are flipped in the resulting sample [3].
Parameters: sampler – A dimod sampler object. Examples
This example composes a dimod ExactSolver sampler with spin transforms then uses it to sample an Ising problem.
>>> base_sampler = dimod.ExactSolver() >>> composed_sampler = dimod.SpinReversalTransformComposite(base_sampler) ... # Sample an Ising problem >>> response = composed_sampler.sample_ising({'a': 0.5, 'b': 1.0}, {('a', 'b'): 1}) >>> response.first.sample {'a': 1, 'b': 1}
References
[3] Andrew D. King and Catherine C. McGeoch. Algorithm engineering for a quantum annealing platform. https://arxiv.org/abs/1410.2628, 2014.
Properties¶
SpinReversalTransformComposite.child 
The child sampler. 
SpinReversalTransformComposite.children 

SpinReversalTransformComposite.parameters 

SpinReversalTransformComposite.properties 
Methods¶
SpinReversalTransformComposite.sample (bqm[, …]) 
Sample from the binary quadratic model. 
SpinReversalTransformComposite.sample_ising (h, …) 
Sample from an Ising model using the implemented sample method. 
SpinReversalTransformComposite.sample_qubo (Q, …) 
Sample from a QUBO using the implemented sample method. 
Structured Composite¶
A composite that structures a sampler.
Class¶

class
StructureComposite
(sampler, nodelist, edgelist)[source]¶ Creates a structured composed sampler from an unstructured sampler.
Parameters: Examples
This example creates a composed sampler from the unstructure dimod ExactSolver sampler. The target structure is a square graph.
>>> base_sampler = dimod.ExactSolver() >>> node_list = [0, 1, 2, 3] >>> edge_list = [(0, 1), (1, 2), (2, 3), (0, 3)] >>> structured_sampler = dimod.StructureComposite(base_sampler, node_list, edge_list) ... >>> linear = {0: 0.0, 1: 0.0, 2: 0.0, 3: 0.0} >>> quadratic = {(0, 1): 1.0, (1, 2): 1.0, (0, 3): 1.0, (2, 3): 1.0} >>> bqm = dimod.BinaryQuadraticModel(linear, quadratic, 1.0, dimod.Vartype.SPIN) ... >>> response = structured_sampler.sample(bqm) >>> response.first.energy 1.0
The next part of the example tries giving the composed sampler a nonsquare model:
>>> del quadratic[(0, 1)] >>> quadratic[(0, 2)] = 1.0 >>> bqm = dimod.BinaryQuadraticModel(linear, quadratic, 1.0, dimod.Vartype.SPIN) ... >>> try: response = structured_sampler.sample(bqm) ... except dimod.BinaryQuadraticModelStructureError as details: ... print(details) ... given bqm does not match the sampler's structure
Properties¶
StructureComposite.child 
The child sampler. 
StructureComposite.children 

StructureComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
StructureComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
StructureComposite.sample (bqm, **sample_kwargs) 
Sample from the binary quadratic model. 
StructureComposite.sample_ising (h, J, …) 
Sample from an Ising model using the implemented sample method. 
StructureComposite.sample_qubo (Q, **parameters) 
Sample from a QUBO using the implemented sample method. 
Tracking Composite¶
A composite that tracks inputs and outputs.
Class¶

class
TrackingComposite
(child, copy=False)[source]¶ Composite that tracks inputs and outputs for debugging and testing.
Parameters:  child (
dimod.Sampler
) – A dimod sampler.  copy (bool, optional, default=False) – If True, the inputs/outputs are copied (with
copy.deepcopy()
) before they are stored. This is useful if the child sampler mutates the values.
Examples
>>> sampler = dimod.TrackingComposite(dimod.RandomSampler()) >>> sampleset = sampler.sample_ising({'a': 1}, {('a', 'b'): 1}, ... num_reads=5) >>> sampler.input OrderedDict([('h', {'a': 1}), ('J', {('a', 'b'): 1}), ('num_reads', 5)]) >>> sampleset == sampler.output True
If we make additional calls to the sampler, the most recent input/output are stored in
input
andoutput
respectively. However, all are tracked ininputs
andoutputs
.>>> sampleset = sampler.sample_qubo({('a', 'b'): 1}) >>> sampler.input OrderedDict([('Q', {('a', 'b'): 1})]) >>> sampler.inputs # doctest: +SKIP [OrderedDict([('h', {'a': 1}), ('J', {('a', 'b'): 1}), ('num_reads', 5)]), OrderedDict([('Q', {('a', 'b'): 1})])]
In the case that you want to nest the tracking composite, there are two patterns for retrieving the data
>>> from dimod import ScaleComposite, TrackingComposite, ExactSolver ... >>> sampler = ScaleComposite(TrackingComposite(ExactSolver())) >>> sampler.child.inputs # empty because we haven't called sample []
>>> intermediate_sampler = TrackingComposite(ExactSolver()) >>> sampler = ScaleComposite(intermediate_sampler) >>> intermediate_sampler.inputs []
 child (
Properties¶
TrackingComposite.input 
The most recent input to any sampling method. 
TrackingComposite.inputs 
All of the inputs to any sampling methods. 
TrackingComposite.output 
The most recent output of any sampling method. 
TrackingComposite.outputs 
All of the outputs from any sampling methods. 
TrackingComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
TrackingComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
TrackingComposite.clear () 
Clear all the inputs/outputs. 
TrackingComposite.sample (bqm, **parameters) 
Sample from the child sampler and store the given inputs/outputs. 
TrackingComposite.sample_ising (h, J, …) 
Sample from the child sampler and store the given inputs/outputs. 
TrackingComposite.sample_qubo (Q, **parameters) 
Sample from the child sampler and store the given inputs/outputs. 
Truncate Composite¶
A composite that truncates the response based on options provided by the user.
Class¶

class
TruncateComposite
(child_sampler, n, sorted_by='energy', aggregate=False)[source]¶ Composite to truncate the returned samples
Inherits from
dimod.ComposedSampler
.Postprocessing is expensive and sometimes one might want to only treat the lowest energy samples. This composite layer allows one to preselect the samples within a multicomposite pipeline
Parameters:  child_sampler (
dimod.Sampler
) – A dimod sampler  n (int) – Maximum number of rows in the returned sample set.
 sorted_by (str/None, optional, default='energy') – Selects the record field used to sort the samples before truncating. Note that sample order is maintained in the underlying array.
 aggregate (bool, optional, default=False) – If True, aggregate the samples before truncating.
Note
If aggregate is True
SampleSet.record.num_occurrences
are accumulated but no other fields are. child_sampler (
Properties¶
TruncateComposite.child 
The child sampler. 
TruncateComposite.children 
List of child samplers that that are used by this composite. 
TruncateComposite.parameters 
A dict where keys are the keyword parameters accepted by the sampler methods and values are lists of the properties relevent to each parameter. 
TruncateComposite.properties 
A dict containing any additional information about the sampler. 
Methods¶
TruncateComposite.sample (bqm, **kwargs) 
Sample from the problem provided by BQM and truncate output. 
TruncateComposite.sample_ising (h, J, …) 
Sample from an Ising model using the implemented sample method. 
TruncateComposite.sample_qubo (Q, **parameters) 
Sample from a QUBO using the implemented sample method. 