I want to emphasise that this is one reason why it's so important to stay sober for yourself. Your spouse may or may not ever fully trust that you're not drinking or won't drink sometime down the road. Heck,I can't even fully trust myself that I won't drink down the road. This is a day at a time thing of continued effort and work.
We've all lied about our drinking and how many times have we said this is it only to start up again in days. Your spouse as seen all of that too. You need to do this for yourself and let your spouse do what he or she needs to do. The only hope we have is time with continued sobriety. Trust from a spouse is outside our control. We can only hopefully influence it.