var abj = {}; abj.node = {}; abj.adj = {}; abj.add_node = function(node, meta) { abj.adj[node] = {}; abj.node[node] = {}; abj.node[node].vop = tables.clifford.hadamard; Object.assign(abj.node[node], meta); }; abj.add_nodes = function(nodes) { nodes.forEach(add_node); }; abj.del_node = function(node) { for (var i in abj.adj[node]) { abj.del_edge(node, i); } delete abj.node[node]; }; abj.add_edge = function(a, b) { abj.adj[a][b] = {}; abj.adj[b][a] = {}; }; abj.add_edges = function(edges) { edges.forEach(function(e) { add_edge(e[0], e[1]); }); }; abj.del_edge = function(a, b) { delete abj.adj[a][b]; delete abj.adj[b][a]; }; abj.has_edge = function(a, b) { return Object.prototype.hasOwnProperty.call(abj.adj[a], b); }; abj.toggle_edge = function(a, b) { if (abj.has_edge(a, b)) { abj.del_edge(a, b); } else { abj.add_edge(a, b); } }; abj.get_swap = function(node, avoid) { for (var i in abj.adj[node]) { if (i != avoid) { return i; } } return avoid; }; abj.remove_vop = function(node, avoid) { var swap_qubit = abj.get_swap(node, avoid); var decomposition = tables.decompositions[abj.node[node].vop]; for (var i = decomposition.length - 1; i >= 0; --i) { var v = decomposition[i]; abj.local_complementation(v == "x" ? node : swap_qubit); } }; abj.local_complementation = function(node) { // TODO: inefficient var done = {}; for (var i in abj.adj) { for (var j in abj.adj[i]) { var name = i>j ? [i,j] : [j,i]; if (done[name]===false){ abj.toggle_edge(i, j); done[name] = true; } } abj.node[i].vop = tables.times_table[abj.node[i].vop][6]; } abj.node[node].vop = tables.times_table[abj.node[node].vop][14]; }; abj.act_local_rotation = function(node, operation) { var rotation = tables.clifford[operation]; abj.node[node].vop = tables.times_table[rotation][abj.node[node].vop]; }; abj.act_hadamard = function(node) { abj.act_local_rotation(node, 10); }; abj.is_sole_member = function(group, node) { var keys = Object.keys(group); return keys.length == 1 && keys[0] == node; }; abj.act_cz = function(a, b) { if (abj.is_sole_member(abj.adj[a], b)) { abj.remove_vop(a, b); } if (abj.is_sole_member(abj.adj[b], a)) { abj.remove_vop(b, a); } if (abj.is_sole_member(abj.adj[a], b)) { abj.remove_vop(a, b); } var edge = abj.has_edge(a, b); var new_state = tables.cz_table[edge ? 1 : 0][abj.node[a].vop][abj.node[b].vop]; abj.node[a].vop = new_state[1]; abj.node[b].vop = new_state[2]; if (new_state[0] != edge) { abj.toggle_edge(a, b); } }; abj.edgelist = function() { var seen = {}; var output = []; for (var i in abj.adj) { for (var j in abj.adj[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(abj.node)); console.log(JSON.stringify(abj.adj)); }; abj.update = function(newState) { abj.node = newState.node; abj.adj = newState.adj; }; abj.order = function(){ return Object.keys(abj.node).length; };