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QHDOPT: A Software for Nonlinear Optimization with Quantum Hamiltonian Descent
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We develop an open-source, end-to-end software (named QHDOPT), which can solve nonlinear optimization problems using the quantum Hamiltonian descent (QHD) algorithm. QHDOPT offers an accessible interface and automatically maps tasks to various supported quantum backends (i.e., quantum hardware machines). These features enable users, even those without prior knowledge or experience in quantum computing, to utilize the power of existing quantum devices for nonlinear and nonconvex optimization tasks. In its intermediate compilation layer, QHDOPT employs SimuQ, an efficient interface for Hamiltonian-oriented programming, to facilitate multiple algorithmic specifications and ensure compatible cross-hardware deployment. The detailed documentation of QHDOPT is available at https://github.com/jiaqileng/QHDOPT.
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Encoding Choices and Fault-Tolerant Resource Estimates for Digital Quantum Hamiltonian Descent
For digital quantum Hamiltonian descent, binary amplitude encoding uses O(d log N) qubits and fewer R_z rotations than one-hot encoding in all tested benchmarks, making it the preferred starting point for fault-tolera...
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