var ngbh = {}; var vops = {}; var meta = {}; var abj = {}; abj.add_node = function(node, m) { ngbh[node] = {}; vops[node] = clifford.hadamard; meta[node] = m ? m : {}; }; abj.add_nodes = function(nodes) { nodes.forEach(add_node); }; abj.add_edge = function(a, b) { ngbh[a][b] = true; ngbh[b][a] = true; }; abj.add_edges = function(edges) { edges.forEach(function(e) { add_edge(e[0], e[1]); }); }; abj.del_edge = function(a, b) { delete ngbh[a][b]; delete ngbh[b][a]; }; abj.has_edge = function(a, b) { return Object.prototype.hasOwnProperty.call(ngbh[a], b); }; abj.toggle_edge = function(a, b) { if (has_edge(a, b)) { del_edge(a, b); } else { add_edge(a, b); } }; abj.get_swap = function(node, avoid) { for (var i in ngbh[node]) { if (i != avoid) {return i;} } return avoid; }; abj.remove_vop = function(node, avoid) { var swap_qubit = get_swap(node, avoid); var decomposition = decompositions[vops[node]]; for (var i=decomposition.length-1; i >=0; --i) { var v = decomposition[i]; local_complementation(v == "x" ? a : swap_qubit); } }; abj.local_complementation = function(node) { var keys = Object.keys(ngbh[node]); for (var i=0; i < keys.length; ++i) { for (var j=i+1; j < keys.length; ++j) { toggle_edge(keys[i], keys[j]); } vops[i] = times_table[vops[keys[i]]][sqz_h]; } vops[node] = times_table[vops[node]][msqx_h]; }; abj.act_local_rotation = function(node, operation) { var rotation = clifford[operation]; vops[node] = times_table[rotation][vops[node]]; }; abj.act_hadamard = function(node){ act_local_rotation(node, 10); }; abj.is_sole_member = function(node, group){ return group.length == 1 && group[0] == node; }; abj.act_cz = function(a, b){ if (is_sole_member(ngbh[a], b)) { remove_vop(a, b); } if (is_sole_member(ngbh[b], a)) { remove_vop(b, a); } if (is_sole_member(ngbh[a], b)) { remove_vop(a, b); } var edge = has_edge(a, b); var new_state = cz_table[edge ? 1 : 0][vops[a]][vops[b]]; vops[a] = new_state[1]; vops[b] = new_state[2]; if (new_state[0] != edge){ toggle_edge(a, b); } }; abj.edgelist = function() { var seen = {}; var output = []; for (var i in ngbh) { for (var j in ngbh[i]) { if (!Object.prototype.hasOwnProperty.call(seen, j)){ output.push([i, j]); } } seen[i] = true; } return output; }; abj.log_graph_state = function() { console.log(JSON.stringify(vops)); console.log(JSON.stringify(ngbh)); };