Hybrid algorithm classically diagonalizes Hamiltonian tensor factors to construct block-encodings for quantum simulation via QSVD, with extensions for commuting time-dependent cases.
Quantum linear system algorithm for dense matrices.Physical review letters, 120(5):050502
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Sampling-based methods for quantum state preparation achieve asymptotically lower T-count than rotation-based methods and maintain an advantage in total gate count after accounting for compilation overhead.
Encoding strategies for quantum fluid simulations trade off compactness against practicality in state preparation, measurement, boundary conditions, and nonlinear operations, with no single approach being universally optimal.
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Hybrid Quantum-Classical Algorithm for Hamiltonian Simulation
Hybrid algorithm classically diagonalizes Hamiltonian tensor factors to construct block-encodings for quantum simulation via QSVD, with extensions for commuting time-dependent cases.
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Logical Resource Estimation for Quantum State Preparation with Compilation
Sampling-based methods for quantum state preparation achieve asymptotically lower T-count than rotation-based methods and maintain an advantage in total gate count after accounting for compilation overhead.
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Encoding strategies for quantum enhanced fluid simulations: opportunities and challenges
Encoding strategies for quantum fluid simulations trade off compactness against practicality in state preparation, measurement, boundary conditions, and nonlinear operations, with no single approach being universally optimal.