Quantum computing arrangement and quantum computer

A quantum computing arrangement comprising:

• a permanent magnet arrangement configured to establish a magnetic field with magnitudes being different from one another for different positions on a first axis;
• and
• an ion trap having a first region and a second region arranged above one another,
• wherein the ion trap has at least one section being part of the first region and the second region configured for hosting at least one ion crystal,
• wherein the first and second regions are stacked above one another in a vertical direction, wherein the vertical direction is perpendicular to a main extension plane of the ion trap,
• wherein the at least one ion crystal comprises a plurality of trapped ions arranged along the first axis, and
• wherein the at least one section comprises:
• a first radio frequency (RF) electrode and a first direct current (DC) electrode in the first region, and
• a second RF electrode and a second DC electrode in the second region.