Switzerland is a signatory of the Schengen treaty on borders and freedom of movement rules and has been since 2002 also accepts the supremacy of the European Court of Justice as an arbitration authority and has an effective bilateral treaty that cover a range of trading agreements with access to the single market.
They also contribute to the EU budget for their access something close to 10 billion GB pounds.
Going through those points almost all fail to meet with the Brexit demands and UK governments current redlines
Remain in customs union NO
Remain in the single market NO
Ever sign and enact Schengen NEVER
Continue to accept the ECJ as primary court of arbitration we’ll that one has turned little pink already.
Still we can look forward to being more like Lichtenstein I suppose.