A local SU(2) symmetry-based product formula clusters Hamiltonian terms into at most four classes for exact two-qubit implementations, cutting commutator errors and gate count in many-body simulations.
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6 Pith papers cite this work. Polarity classification is still indexing.
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Nonnormality is an intrinsically dissipative property of Lindbladian generators that controls transient growth in open quantum dynamics and increases the cost of quantum simulations.
qSHIFT achieves L-independent gate complexity and O(t^{1+r}) error scaling in quantum simulation through adaptive sampling distributions updated by solving L^r classical linear equations per round.
Structured state preparation in QCQMC improves energy accuracy over pure variational methods across molecular, condensed-matter, nuclear, and graph problems.
Resource estimates for quantum simulation of pionless and pionful nuclear lattice EFTs, including time evolution and energy estimation, with new error bounds from symmetries and locality yielding orders-of-magnitude improvements for the pionless case.
Higher entanglement entropy reduces variance of Trotter errors and higher magic reduces kurtosis, making error distributions more robust in quantum simulation.
citing papers explorer
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Beyond Commutativity: Redesigning Trotter Decomposition via Local Symmetry
A local SU(2) symmetry-based product formula clusters Hamiltonian terms into at most four classes for exact two-qubit implementations, cutting commutator errors and gate count in many-body simulations.
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Nonnormality and Dissipation in Markovian Quantum Dynamics: Implications for Quantum Simulation
Nonnormality is an intrinsically dissipative property of Lindbladian generators that controls transient growth in open quantum dynamics and increases the cost of quantum simulations.
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qSHIFT: An Adaptive Sampling Protocol for Higher-Order Quantum Simulation
qSHIFT achieves L-independent gate complexity and O(t^{1+r}) error scaling in quantum simulation through adaptive sampling distributions updated by solving L^r classical linear equations per round.
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A unified quantum computing quantum Monte Carlo framework through structured state preparation
Structured state preparation in QCQMC improves energy accuracy over pure variational methods across molecular, condensed-matter, nuclear, and graph problems.
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Quantum Algorithms for Simulating Nuclear Effective Field Theories
Resource estimates for quantum simulation of pionless and pionful nuclear lattice EFTs, including time evolution and energy estimation, with new error bounds from symmetries and locality yielding orders-of-magnitude improvements for the pionless case.
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Taming Trotter Errors with Quantum Resources
Higher entanglement entropy reduces variance of Trotter errors and higher magic reduces kurtosis, making error distributions more robust in quantum simulation.