Don't believe what the movies have told you. Titanium is a very poor metal for cutting instruments. Even the best titanium alloys (which are NOT the common ones like 6Al-4V) are mediocre compared to even the crummiest of common knife steels like 420J, and that's when talking about pocket knives. Swords are another matter entirely, and even less appropriate for titanium. There are common public misconceptions about titanium. Better than steel, stronger than steel, lighter than steel, etc. Some are true, some are not, some are only half-true. Titanium can be stronger than steel, but that doesn't necessarily mean what you think it means. The word "stronger" is also subjective, and can mean different things. Tensile strength, spring strength, hardness, etc. For some things titanium is the best choice. For some things steel is. When it comes down to it, titanium and steel are 2 different metals have benefits when used for specific things. The same goes for any other metals like aluminum, scandium, and magnesium.
The simple fact is that if titanium made a superior blade metal, be it for a pocket knife or a sword, we would already have those in mass quantities. If titanium made a better pocket knife metal, top-end knives like the Sebenza would have titanium blades. If it made superior sword materials, we would see it commonly used for those as well.
If a sword were made from titanium, you would likely have issues with edge chipping and dinging and bent blades. Can you make a sword from titanium? Of course you can. Would I want to be struck with one? Hell no. Would I expect it to be as effective or durable as a properly made steel sword? Absolutely not.