Jordan-Wigner Transformation and Qubits with Nontrivial Exchange Rule
- Авторлар: Vlasov A.Y.1
-
Мекемелер:
- P.V. Ramzaev Research Institute of Radiation Hygiene
- Шығарылым: Том 8, № 3 (2021)
- Беттер: 23-28
- Бөлім: Articles
- URL: https://journals.eco-vector.com/2313-223X/article/view/529824
- DOI: https://doi.org/10.33693/2313-223X-2021-8-3-23-28
- ID: 529824
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Аннотация
Well-known (spinless) fermionic qubits may need more subtle consideration in comparison with usual (spinful) fermions. Taking into account a model with local fermionic modes, formally only the ’occupied’ states |1〉 could be relevant for antisymmetry with respect to particles interchange, but ‘vacuum’ state |0〉 is not. Introduction of exchange rule for such fermionic qubits indexed by some ‘positions’ may look questionable due to general super-selection principle. However, a consistent algebraic construction of such ‘super-indexed’ qubits is presented in this work. Considered method has some relation with construction of super-spaces, but it has some differences with standard definition of supersymmety sometimes used for generalizations of qubit model.
Толық мәтін
Авторлар туралы
Alexander Vlasov
P.V. Ramzaev Research Institute of Radiation Hygiene
Email: alex.yu.vlasov@gmail.com
Saint Petersburg, Russian Federation
Әдебиет тізімі
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