How to use fiber-optic LC connector with my MacBook Pro for access to LTO-5 tape drive?
The only way that I know of connecting a MacBook (any modern laptop) to a fiber channel drive/drive subsystem is with a a device like the ATTO Thunderlink FC3162, however, they are prohibitively expensive.

What might be a much cheaper and more effective alternative is to build another machine (a cheap PC will work well) and install a Fibre Channel HBA to connect to your LTO tape system.  I’ve done something very similar with FreeBSD and a Fibre Channel array that served as storage and Time Capsule backup using drives; I’m sure a tape solution would work just as easily.