Find ways to improve

Lying is wrong, yes. But a good way to rebuild trust with your loved one again is to let him/her know some ways you are going to improve yourself. Don,t tell them things that will seem "mistrusting" such as telling them they can talk to people to make sure you are doing what your doing or just "keeping track" of what you are doing 24/7. Just tell them from here on out you will be honest and do whatever you say you will do. Find goals to do that may help out you and your loved one, and if you actually do it, they will probably see improvement.