The structure of the Swiss militia system stipulates that the soldiers keep their own personal equipment, including all personally assigned weapons, at home (until 2007 this also included ammunition.

These "personal weapons" include:

Individual weapons

    Sturmgewehr 90 assault rifle (200,000)
    Sturmgewehr 57 battle rifle (2,000)
    Pistole 75 semi-automatic pistol (30,000)
    Pistole 49 semi-automatic pistol (1,000)
    Pistole 03 semi-automatic pistol (Military Police)
    Glock semi-automatic pistol (Swiss Grenadiers, ARD 10, FSK-17)
    FN Minimi
    Heckler & Koch MP5 submachinegun
    Brügger & Thomet MP9 machine pistol
    Tuma MTE 224 VA machine pistol
    Remington 870 multipurpose shotgun (known as Mehrzweckgewehr 91)
    Sako TRG-42 8.6 mm anti-personnel sniper rifle   (Scharfschützengewehr 04)
    PGM Hecate II 12.7 mm anti-materiel heavy sniper rifle (Präzisionsgewehr 04)

                           (Info from Wikipedia)

I could not. without permitting, own or keep a machine pistol, an MP5, or any weapon with fully automatic capability. Don't want one -- couldn't afford the ammunition even if I had one.