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quant-ph2024★ 2 cited
Representation theory of Gaussian unitary transformations for bosonic and fermionic systems
Tommaso Guaita, Lucas Hackl, Thomas Quella
Gaussian unitary transformations are generated by quadratic Hamiltonians, i.e., Hamiltonians containing quadratic terms in creations and annihilation operators, and are heavily use…
quant-ph2024★ 3 cited
On the locality of qubit encodings of local fermionic modes
Tommaso Guaita
Known mappings that encode fermionic modes into a bosonic qubit system are non-local transformations. In this paper we establish that this must necessarily be the case, if the loca…