A compression protocol for controlled time evolution of local translationally invariant Hamiltonians achieves O(t polylog(t N/ε)) circuit depth with additive control overhead, demonstrated via 414 CNOT gates for iterative phase estimation on a 6×6 triangular lattice and sub-1% energy errors on a 4×4
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Exact closed-form size-independent expressions for von Neumann and Rényi entanglement entropies plus Loschmidt echoes are obtained for quench dynamics in the staggered XXZ antiferromagnetic chain in the flat-band limit, validated by IBM-Q simulations.
QFAMES is a quantum algorithm that identifies clusters of closely spaced dominant eigenvalues and their multiplicities in quantum Hamiltonians under physically motivated assumptions, enabling observable estimation within energy clusters.
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Phase Estimation with Compressed Controlled Time Evolution
A compression protocol for controlled time evolution of local translationally invariant Hamiltonians achieves O(t polylog(t N/ε)) circuit depth with additive control overhead, demonstrated via 414 CNOT gates for iterative phase estimation on a 6×6 triangular lattice and sub-1% energy errors on a 4×4
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Quench dynamics of the quantum XXZ chain with staggered interactions: Exact results and simulations on digital quantum computers
Exact closed-form size-independent expressions for von Neumann and Rényi entanglement entropies plus Loschmidt echoes are obtained for quench dynamics in the staggered XXZ antiferromagnetic chain in the flat-band limit, validated by IBM-Q simulations.
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Quantum Filtering and Analysis of Multiplicities in Eigenvalue Spectra
QFAMES is a quantum algorithm that identifies clusters of closely spaced dominant eigenvalues and their multiplicities in quantum Hamiltonians under physically motivated assumptions, enabling observable estimation within energy clusters.