Distribution
The key has to get there first, physically, and that is the whole problem.
The key has to travel before the message can
The one-time pad solves the mathematical problem of secrecy completely. It does not solve the logistical problem at all. Before two parties can exchange an enciphered message, they must already share a key — identical, secret, never-before-used — and that key must travel through the world by some physical means. Every difficulty the system will ever face lives in that journey.
The size of the requirement is the first obstacle. A one-time pad key must be at least as long as all the messages it will encrypt, which means the volume of key material a serious operation consumes is enormous. A diplomatic mission expecting weeks of high-traffic communications needs to carry correspondingly large bundles of pad pages — printed, typed, or in later practice punched onto tape. That material must be produced, packaged, counted, recorded, and moved, all before a single operational message is sent. The logistics of key production alone demand dedicated facilities and strict accounting.

Then comes transit. The unbreakable guarantee rests entirely on the assumption that the key was not seen by anyone else on its way. That assumption is hard to maintain. Diplomatic pouches travel on aircraft and cross borders. Couriers carrying pad material can be watched, delayed, or arrested. Embassies can be searched. Any interception of the key material — even a quiet photograph of the pages before they are sealed — destroys the system's security while leaving both parties unaware. The cipher text remains perfect; the compromise happened earlier, elsewhere, invisibly.
This is not a theoretical concern. Cold War intelligence operations were built substantially around the problem of key distribution: stealing pad material, photographing one-time-use cipher tape before it reached its destination, or recruiting the people who handled it. The cryptography was sound; the supply chain was the target.
There is no purely cryptographic solution to the distribution problem. It must be handled by procedure — physical security, trusted couriers, tamper-evident packaging, strict inventory — and procedure can always fail through human error, betrayal, or operational pressure. A communications officer asked to stretch a pad further than its allocation, or to use convenient but insecure transit, has been handed the key to reuse, and reuse is fatal in the most literal sense.
The one-time pad is therefore not so much a cipher as a commitment: to an entire physical infrastructure of key generation, transport, and accounting. Nations can sustain that infrastructure; field agents under stress often cannot. The mathematics is the easy part.