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Creators/Authors contains: "Nepomechie, Rafael I."

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  1. Free, publicly-accessible full text available November 1, 2025
  2. We present an explicit quantum circuit that prepares an arbitrary U ( 1 ) -eigenstate on a quantum computer, including the exact eigenstates of the spin- 1 / 2 X X Z quantum spin chain with either open or closed boundary conditions. The algorithm is deterministic, does not require ancillary qubits, and does not require QR decompositions. The circuit prepares such an L -qubit state with M down-spins using ( L M ) 1 multi-controlled rotation gates and 2 M ( L M ) CNOT-gates. 
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  3. A<sc>bstract</sc> Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic$$ {D}_3^{(2)} $$ D 3 2 spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regimeγ∈ (0,$$ \frac{\pi }{4} $$ π 4 ). Besides two compact degrees of freedom, we identify two independent continuous components in the finite-size spectrum. The influence of large twist angles on the latter reveals also the presence of discrete states. This allows for a conjecture on the central charge of the conformal field theory describing the scaling limit of the lattice model. 
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  4. A<sc>bstract</sc> We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians,R-matrices and Bethe-ansatz solutions. These models have a new type of generalized graded algebra symmetry. 
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