QKLA achieves quadratic query-complexity improvement for clipped KL estimation, yielding 2.7-7.4x fewer oracle queries than classical methods when embedded in the PC causal-discovery algorithm at moderate precision.
Quantum state preparation with optimal circuit depth: Implementations and applications
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Any n-qubit unitary can be implemented approximately with Õ(2^{n/2}) oracle queries or exactly with Õ(2^{n/2}) circuit depth via Grover search reductions, with matching lower bounds for certain implementations.
A basis-independent closed-form exponential unitary maps any two pure states without scaling with Hilbert space dimension.
Precomputes rotation angles classically and adds a magnitude-then-phase procedure to enable complex-valued state preparation on BBQRAM at unchanged O(log²(MN)) query cost with no reversible arithmetic on the QPU.
Quantum walks integrated with variational circuits and CUDA-Q acceleration generate high-fidelity adaptive probability distributions for 1D financial modeling and 2D digit patterns.
citing papers explorer
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Quantum Causal Discovery via Amplitude Estimation of Kullback-Leibler Divergence
QKLA achieves quadratic query-complexity improvement for clipped KL estimation, yielding 2.7-7.4x fewer oracle queries than classical methods when embedded in the PC causal-discovery algorithm at moderate precision.
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Query and Depth Upper Bounds for Quantum Unitaries via Grover Search
Any n-qubit unitary can be implemented approximately with Õ(2^{n/2}) oracle queries or exactly with Õ(2^{n/2}) circuit depth via Grover search reductions, with matching lower bounds for certain implementations.
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How to unitarily map between any two pure states with a single closed-form exponential
A basis-independent closed-form exponential unitary maps any two pure states without scaling with Hilbert space dimension.
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Efficient Complex-Valued State Preparation on Bucket Brigade QRAM
Precomputes rotation angles classically and adds a magnitude-then-phase procedure to enable complex-valued state preparation on BBQRAM at unchanged O(log²(MN)) query cost with no reversible arithmetic on the QPU.
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Quantum Walks-Based Adaptive Distribution Generation with Efficient CUDA-Q Acceleration
Quantum walks integrated with variational circuits and CUDA-Q acceleration generate high-fidelity adaptive probability distributions for 1D financial modeling and 2D digit patterns.