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Award ID contains: 2310594

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  1. ; (, Journal of Physics A: Mathematical and Theoretical)
    Abstract Bethe equations, whose solutions determine exact eigenvalues and eigenstates of corresponding integrable Hamiltonians, are generally hard to solve. We implement a Variational Quantum Eigensolver approach to estimating Bethe roots of the spin-1/2 XXZ quantum spin chain, by using Bethe states as trial states, and treating Bethe roots as variational parameters. In numerical simulations of systems of size up to 6, we obtain estimates for Bethe roots corresponding to both ground states and excited states with up to 5 down-spins, for both the closed and open XXZ chains. This approach is not limited to real Bethe roots. 
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  2. ; ; (, Advanced Quantum Technologies)
    Abstract The notion of spin‐ Dicke states is introduced, which are higher‐spin generalizations of usual (spin‐1/2) Dicke states. These multi‐qudit states can be expressed as superpositions of qudit Dicke states. They satisfy a recursion formula, which is used to formulate an efficient quantum circuit for their preparation, whose size scales as , where is the number of qudits and is the number of times the total spin‐lowering operator is applied to the highest‐weight state. The algorithm is deterministic and does not require ancillary qudits. 
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  3. ; (, Journal of Physics A: Mathematical and Theoretical)
    Abstract Dicke states are completely symmetric states of multiple qubits (2-level systems), and qudit Dicke states are theird-level generalization. We define hereq-deformed qudit Dicke states using the quantum algebra s u q ( d ) . We show that these states can be compactly expressed as a weighted sum over permutations withq-factors involving the so-called inversion number, an important permutation statistic in Combinatorics. We use this result to compute the bipartite entanglement entropy of these states. We also discuss the preparation of these states on a quantum computer, and show that introducing aq-dependence does not change the circuit gate count. 
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  4. ; ; (, Journal of High Energy Physics)
    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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  5. ; ; ; (, Journal of High Energy Physics)
    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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  6. ; (, Physical Review A)
    Free, publicly-accessible full text available November 1, 2025
  7. ; (, Quantum)
    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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  8. ; (, Quantum Information & Computation)
    Qudit Dicke states are higher-dimensional analogues of an important class of highly-entangled completely symmetric quantum states known as (qubit) Dicke states. A circuit for preparing arbitrary qudit Dicke states deterministically is formulated. An explicit decomposition of the circuit in terms of elementary gates is presented, and is implemented in cirq for the qubit and qutrit cases. 
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