Jordan-Wigner transformation and qubits with nontrivial exchange rule
- URL: http://arxiv.org/abs/2103.04629v3
- Date: Mon, 1 Nov 2021 10:12:17 GMT
- Title: Jordan-Wigner transformation and qubits with nontrivial exchange rule
- Authors: Alexander Yu. Vlasov
- Abstract summary: Well-known (spinless) fermionic qubits may need more subtle consideration in comparison with usual (spinful) fermions.
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.
- Score: 91.3755431537592
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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