I wanted to share with you my approach. There is a working plunker.
Let's have three areas layout - top, left, main. And these could be states:
$stateProvider 
    .state('index', {
        url: '/',
        views: {
          '@' : {
            templateUrl: 'layout.html',
            controller: 'IndexCtrl'
          },
          'top@index' : { templateUrl: 'top.html',},
          'left@index' : { templateUrl: 'left.html',},
          'main@index' : { templateUrl: 'main.html',},
        },
      })
    .state('index.list', {
        url: '^/:category',
        templateUrl: 'list.html',
        controller: 'ListCtrl'
      })
    .state('index.list.detail', {
        url: '/:id',
        views: {
          'detail@index' : {
            templateUrl: 'detail.html',
            controller: 'DetailCtrl'
          },
        },
      })
The index will create a scope which will be inherited into each child and grand child state. So we can use $scope.Model to keep the data consolidated all the way down.
These would be controllers:
.controller('IndexCtrl', ['$scope', function($scope){
  $scope.Model = {
    categories : ["Music", "Video"],
  }
}]) 
.controller('ListCtrl',  ['$scope', '$stateParams', function($scope, $stateParams){
  // add items to the model
  $scope.Model.items = $stateParams.category === "Music"
    ? ["Depeche Mode", "Nick Cave"]
    : ["Star Wars", "Psycho"]
  $scope.$on("$destroy", function() {delete $scope.Model.items; })
}])
.controller('DetailCtrl', ['$scope', '$stateParams', function($scope, $stateParams){
  // add item to model
  $scope.Model = { 
    item : $scope.Model.items[$stateParams.id],
  }
  $scope.$on("$destroy", function() {delete $scope.Model.item; })
}])
What is happening here? Partially we use $stateParams to change states (category is passed to List ... id into Detail)
Also all states (all the way down) do have acccess to the same instance (reference) of the $scope.Model
Check it all here
Also, what happened here, is the real use of $scope inheritance, which in UI-Router is driven by view nesting. Please, check this detailed description