Multivariate DQI uses N-variable polynomials for weighted Max-LINSAT, derives closed-form asymptotics for expectation and concentration, provides a single-decoder preparation circuit, and shows outperformance over weighted Prange for some OPI cases while extending to Hamiltonian DQI.
Quantum state preparation using an exact cnot synthesis formulation
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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.
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Multivariate Decoded Quantum Interferometry for Weighted Optimization
Multivariate DQI uses N-variable polynomials for weighted Max-LINSAT, derives closed-form asymptotics for expectation and concentration, provides a single-decoder preparation circuit, and shows outperformance over weighted Prange for some OPI cases while extending to Hamiltonian DQI.
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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.