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Enhancing Scalability of Quantum Eigenvalue Transformation of Unitary Matrices for Ground State Preparation through Adaptive Finer Filtering
Published 2025-02-01“…In this work, we present an approach to improve the scalability of eigenspace filtering for the ground state preparation of a given Hamiltonian. Our method aims to tackle limitations introduced by a small spectral gap and high degeneracy of low energy states. …”
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Nonequilibrium Dynamics of Charged Dual-Unitary Circuits
Published 2025-02-01“…After providing a complete characterization of these systems we show that one can introduce a class of solvable states, which extends that of generic dual-unitary circuits, for which the nonequilibrium dynamics can be solved exactly. …”
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Extremal jumps of circuit complexity of unitary evolutions generated by random Hamiltonians
Published 2025-01-01“…In both scenarios we prove that the complexity of exp(–itH) exhibits the following behaviour — with high probability it reaches the maximal allowed value on the same time scale as needed to escape the neighborhood of the identity consisting of unitaries with trivial (zero) complexity. We furthermore observe similar behaviour for quantum states originating from time evolutions generated by above ensembles and for diagonal unitaries generated from the ensemble of diagonal Gaussian Hamiltonians. …”
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Universal coherent atom-molecule oscillations in the dynamics of the unitary Bose gas near a narrow Feshbach resonance
Published 2025-02-01“…Quench experiments on a unitary Bose gas around a broad Feshbach resonance have led to the discovery of universal dynamics. …”
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The multiple self and psychological openness
Published 2025-02-01“…We distinguish between the unitary self-mode, where individuals perceive themselves as cohesive, stable entities, and the multiple self-mode, where they recognize their diverse, context-dependent aspects. …”
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Floquet operator engineering for quantum state stroboscopic stabilization
Published 2024-02-01“…In this work, we focus on the tailoring of a unitary evolution leading to the stroboscopic stabilization of quantum states of a Bose–Einstein condensate in an optical lattice. …”
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State estimation with quantum extreme learning machines beyond the scrambling time
Published 2025-02-01“…In particular, we show efficient state estimation is possible even beyond the scrambling time, for many different types of dynamics — in fact, we show that in all the cases we studied, the reconstruction efficiency at long interaction times matches the optimal one offered by random global unitary dynamics. …”
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Quantum complexity phase transitions in monitored random circuits
Published 2025-02-01“…In this work, we investigate the dynamics of the quantum state complexity in monitored random circuits, where $n$ qubits evolve according to a random unitary circuit and are individually measured with a fixed probability at each time step. …”
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Topological defects in Floquet circuits
Published 2024-03-01“…The corresponding gates include a defect that flips spins as well as the duality defect that explicitly implements the Kramers-Wannier duality transformation. The Floquet unitary evolution operator commutes with such defects, but the duality defect is not unitary, as it projects out half the states. …”
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Indonesian Defense Diplomacy in Responding to China’s National Interest in South China Sea
Published 2023-03-01“…Economic interests dominating the interests of both claimant and non-claimant-states make the South China Sea conflict challenging to obtain a satisfactory solution for all parties. …”
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Real-World Health Care Outcomes and Costs Among Patients With Juvenile Idiopathic Arthritis in Spain
Published 2023-12-01“…Indirect costs included hospital travel expenses and loss of caregiver working hours. Unitary costs were obtained from official sources (€, 2020). …”
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Integrated photonic programmable random matrix generator with minimal active components
Published 2025-02-01“…In quantum information processing, random unitary operations are essential to boson sampling algorithms for multiphoton states in linear photonic circuits. …”
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