Quantum Computing Unit with Majorana Modes

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This invention discloses a quantum computing unit that utilizes a specific arrangement of Majorana modes—three outer and one inner mode—on a superconducting substrate. This spatial configuration allows for robust and precise operation of quantum gates in quantum computers, making them less dependent on material properties and thus more universally applicable.

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• Development of robust and scalable quantum computers
• Implementation of reliable quantum gates for quantum computing tasks
• Advanced quantum cryptography applications
• Quantum simulation for research in physics and chemistry
• Multi-qubit quantum computing architectures

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• Allows for perfect execution of key quantum gates (e.g., braiding, π/8 magic, π/12 phase, and CNOT) at high frequencies
• Provides a mechanism that is robust to material-specific variations, enhancing device reproducibility
• Enables precise time-dependent control of quantum operations
• Applicable to a wide variety of superconducting materials where Majorana zero modes exist
• Supports advancements in fault-tolerant and scalable quantum computers

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Patent Abstract

The present invention relates to a quantum computing unit comprising a superconducting substrate or other superconducting component, at least three outer Majorana modes, and at least one inner Majorana mode, wherein the at least three outer Majorana modes are located along an outer perimeter, and wherein the at least one inner Majorana mode is located within the outer perimeter. This spatial configuration of the four participating Majorana modes allows to control the time-dependent coupling between the respective Majorana modes. The related quantum gates can be performed perfectly in a finite time, preferably with a frequency of up to several GHz. These include the braiding gate, the π/8 magic phase gate, the π/12 phase gate, and, for multi-qubit systems, the CNOT gate. The robustness of the mechanism guarantees that for special times the quantum gate is conducted the quantum gate is perfectly realized. This property is independent of material specific parameters. Hence, the behavior can be expected in all systems where Majorana zero modes appear in the center of Abrikosov vortices, in particular, not only in FeTeSe, which we consider as an example.