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quant-ph2025
Quantum precomputation: parallelizing cascade circuits and the Moore-Nilsson conjecture is false
Adam Bene Watts, Charles R. Chen, J. William Helton +1
Parallelization is a major challenge in quantum algorithms due to physical constraints like no-cloning. This is vividly illustrated by the conjecture of Moore and Nilsson from thei…
quant-ph2025
Lower Bounds for Learning Hamiltonians from Time Evolution
Ziyun Chen, Jerry Li, Joseph Slote
Learning about a Hamiltonian from its time evolution is a fundamental task in quantum science. A flurry of recent work has developed powerful new algorithms with pro…
quant-ph2025
Approximating the operator norm of local Hamiltonians via few quantum states
Lars Becker, Joseph Slote, Alexander Volberg +1
Consider a Hermitian operator acting on a complex Hilbert space of dimension . We show that when has small degree in the Pauli expansion, or in other words, is a l…