A solvent-free polymer electrolyte having a polymer matrix which is conductive for lithium ions and a lithium salt, wherein the polymer matrix has at least one pseudo-polyrotaxane which includes at least one linear polymer and at least one ring-shaped molecule, and wherein the lithium salt is arranged in the polymer matrix and is at least partially chemically bonded to the polymer matrix, wherein the polymer matrix includes at least one pseudo-polyrotaxane with at least one completely or partially chemically modified cyclodextrin or at least one completely or partially chemically modified crown ether, in which the present hydroxyl groups of the cyclodextrin, or the scaffold of the crown ether, are/is partly or completely modified by functional groups, wherein the functional groups comprise alkyl, aryl, alkenyl, alkynyl groups (Cn, with n≤5), or other short-chain polymer groups having up to 20 repeating units.