Two-Qubit Operation on Majorana Qubits in Ordinary-Qubit Chains
| Autor: | Yu. Makhlin, Stefan Backens, Alexander Shnirman |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) Solid-state physics Basis (linear algebra) Degrees of freedom (statistics) Phase (waves) Quantum Physics 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences MAJORANA Spin representation Computer Science::Emerging Technologies Qubit Quantum mechanics 0103 physical sciences 010306 general physics 0210 nano-technology Spin-½ |
| Zdroj: | JETP Letters. 108:763-767 |
| ISSN: | 1090-6487 0021-3640 |
| DOI: | 10.1134/s0021364018230029 |
| Popis: | Majorana zero modes can be simulated in structures based on spin or quasi-spin degrees of freedom, e.g., Josephson-qubit chains. Braiding of Majorana degrees of freedom is realized using T-junctions supplied with an auxiliary spin (ancilla). Motivated by prospective experiments, we analyze the braiding in the spin representation, which provides the basis for the analysis of imperfections characteristic to the spin and qubit designs. The result of the braiding operation is straightforwardly found for the initial basis states of the two qubits and the ancilla, up to phase factors. Here, we fix these phase factors and thus describe the complete two-qubit operation. This result is relevant for physical simulation of the Majorana qubits in Josephson-qubit chains and other spin or qubit structures. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|