Jordan-Wigner Transformation and Qubits with Nontrivial Exchange Rule
- Authors: Vlasov A.Y.1
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Affiliations:
- P.V. Ramzaev Research Institute of Radiation Hygiene
- Issue: Vol 8, No 3 (2021)
- Pages: 23-28
- Section: 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
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Abstract
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.
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About the authors
Alexander Yu. Vlasov
P.V. Ramzaev Research Institute of Radiation Hygiene
Email: alex.yu.vlasov@gmail.com
Saint Petersburg, Russian Federation
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