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<section id="interoperability-with-annealing-framework">
<span id="interop-annealing"></span><h1>Interoperability with annealing framework<a class="headerlink" href="#interoperability-with-annealing-framework" title="Link to this heading"></a></h1>
<p>One can translate from the presented problem formulations, namely <a class="reference internal" href="02_user_guide/01_write/03_annealing_problems/01_ising.html#ising-description"><span class="std std-ref">Ising</span></a>, <a class="reference internal" href="02_user_guide/01_write/03_annealing_problems/02_qubo.html#qubo-description"><span class="std std-ref">QUBO</span></a> and <a class="reference internal" href="02_user_guide/01_write/03_annealing_problems/03_comb_prob.html#comb-prob-description"><span class="std std-ref">Combinatorial problem</span></a> to a <em>Binary Quadratic Model</em> as specified by DWave’s library <code class="code docutils literal notranslate"><span class="pre">dimod</span></code>. This is achived by simply calling the method <a class="reference internal" href="04_api_reference/module_qat/module_opt/ising.html#qat.opt.Ising.to_bqm" title="qat.opt.Ising.to_bqm"><code class="xref py py-meth docutils literal notranslate"><span class="pre">to_bqm()</span></code></a> of <a class="reference internal" href="04_api_reference/module_qat/module_opt/ising.html#qat.opt.Ising" title="qat.opt.Ising"><code class="xref py py-class docutils literal notranslate"><span class="pre">Ising</span></code></a>
(or the respective <a class="reference internal" href="04_api_reference/module_qat/module_opt/qubo.html#qat.opt.QUBO.to_bqm" title="qat.opt.QUBO.to_bqm"><code class="xref py py-meth docutils literal notranslate"><span class="pre">to_bqm()</span></code></a> and <a class="reference internal" href="04_api_reference/module_qat/module_opt/combinatorialproblem.html#qat.opt.CombinatorialProblem.to_bqm" title="qat.opt.CombinatorialProblem.to_bqm"><code class="xref py py-meth docutils literal notranslate"><span class="pre">to_bqm()</span></code></a> for <a class="reference internal" href="04_api_reference/module_qat/module_opt/qubo.html#qat.opt.QUBO" title="qat.opt.QUBO"><code class="xref py py-class docutils literal notranslate"><span class="pre">QUBO</span></code></a> and <a class="reference internal" href="04_api_reference/module_qat/module_opt/combinatorialproblem.html#qat.opt.CombinatorialProblem" title="qat.opt.CombinatorialProblem"><code class="xref py py-class docutils literal notranslate"><span class="pre">CombinatorialProblem</span></code></a>):</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span><span class="w"> </span><span class="nn">numpy</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">np</span>
<span class="kn">from</span><span class="w"> </span><span class="nn">qat.opt</span><span class="w"> </span><span class="kn">import</span> <span class="n">Ising</span>
<span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">seed</span><span class="p">(</span><span class="mi">316</span><span class="p">)</span>
<span class="c1"># Specify the Ising problem</span>
<span class="n">problem_size</span> <span class="o">=</span> <span class="mi">5</span> <span class="c1"># number of qubits</span>
<span class="n">h_field</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">problem_size</span><span class="p">)</span> <span class="c1"># Magnetic field h</span>
<span class="c1"># J-coupling matrix</span>
<span class="n">any_mat</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">rand</span><span class="p">(</span><span class="n">problem_size</span><span class="p">,</span> <span class="n">problem_size</span><span class="p">)</span>
<span class="n">j_mat</span> <span class="o">=</span> <span class="p">((</span><span class="n">any_mat</span> <span class="o">+</span> <span class="n">np</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="n">any_mat</span><span class="p">))</span> <span class="o">/</span> <span class="mi">2</span> <span class="c1"># make it symmetric</span>
<span class="o">-</span> <span class="n">np</span><span class="o">.</span><span class="n">diag</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">diag</span><span class="p">(</span><span class="n">any_mat</span><span class="p">)))</span> <span class="c1"># make it with 0s as the diagonal elements</span>
<span class="c1"># Offset - can be 0</span>
<span class="n">offset</span> <span class="o">=</span> <span class="mf">2.18</span>
<span class="c1"># Create an Ising problem</span>
<span class="n">problem_Ising</span> <span class="o">=</span> <span class="n">Ising</span><span class="p">(</span><span class="n">J</span><span class="o">=</span><span class="n">j_mat</span><span class="p">,</span> <span class="n">h</span><span class="o">=</span><span class="n">h_field</span><span class="p">,</span> <span class="n">offset_i</span><span class="o">=</span><span class="n">offset</span><span class="p">)</span>
<span class="c1"># Translate to DWave's Binary Quadratic Model</span>
<span class="n">bqm_problem</span> <span class="o">=</span> <span class="n">problem_Ising</span><span class="o">.</span><span class="n">to_bqm</span><span class="p">()</span>
</pre></div>
</div>
<p>This method also works for the <a class="reference internal" href="combinatorial_optim_applic/01_np_probs_for_annealing.html#np-problems-annealing"><span class="std std-ref">NP-Hard problems</span></a> encoded on myQLM, for example:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="c1"># import required libraries</span>
<span class="kn">import</span><span class="w"> </span><span class="nn">numpy</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">np</span>
<span class="kn">import</span><span class="w"> </span><span class="nn">networkx</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">nx</span>
<span class="kn">from</span><span class="w"> </span><span class="nn">qat.opt</span><span class="w"> </span><span class="kn">import</span> <span class="n">VertexCover</span>
<span class="c1"># Specify the problem</span>
<span class="n">graph</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">Graph</span><span class="p">()</span>
<span class="n">graph</span><span class="o">.</span><span class="n">add_nodes_from</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">6</span><span class="p">))</span>
<span class="n">graph</span><span class="o">.</span><span class="n">add_edges_from</span><span class="p">([(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">4</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">5</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">5</span><span class="p">)])</span>
<span class="c1"># Impose constraints for proper encoding</span>
<span class="n">B</span> <span class="o">=</span> <span class="mi">1</span>
<span class="n">A</span> <span class="o">=</span> <span class="n">B</span> <span class="o">+</span> <span class="mf">0.01</span>
<span class="c1"># Create problem</span>
<span class="n">vertex_cover_problem</span> <span class="o">=</span> <span class="n">VertexCover</span><span class="p">(</span><span class="n">graph</span><span class="p">,</span> <span class="n">A</span><span class="o">=</span><span class="n">A</span><span class="p">,</span> <span class="n">B</span><span class="o">=</span><span class="n">B</span><span class="p">)</span>
<span class="c1"># Translate to DWave's Binary Quadratic Model</span>
<span class="n">bqm_problem</span> <span class="o">=</span> <span class="n">vertex_cover_problem</span><span class="o">.</span><span class="n">to_bqm</span><span class="p">()</span>
</pre></div>
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