Parallel and Distributed Fermionic Simulation via Dynamic Encoding

arXiv:2609.31502 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-10-08

Terminology

• Hypergraph — 8× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 4 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• COSMA: Communication-aware Optimization of Fermionic Simulation Kernels for Modular Quantum Architectures
• Linear Complexity Fermionic Simulation on Quantum Devices with Hardware Connectivity Constraints
• Distribution Complexity of Electronic Structure Simulations on Quantum Supercomputers
• Distributed Quantum Computing: a Survey
• Distributed Quantum Simulation
• Ternary tree transformations are equivalent to linear encodings of the Fock basis
• Treespilation: Architecture- and State-Optimised Fermion-to-Qubit Mappings
• HATT: Hamiltonian Adaptive Ternary Tree for Optimizing Fermion-to-Qubit Mapping
• Optimal fermion-qubit mappings via quadratic assignment
• Fermihedral: On the Optimal Compilation for Fermion-to-Qubit Encoding
• Fast simulation of fermions with reconfigurable qubits
• Ordering Matters: Structure, Accuracy and Gate Cost in Second-Order Suzuki Product Formulas
• Local Jordan-Wigner transformations on the torus
• Symmetric Jordan-Wigner transformation in higher dimensions
• A unified framework of transformations based on the Jordan-Wigner transformation
• Low-depth fermion routing without ancillas
• Clifford circuit based heuristic optimization of fermion-to-qubit mappings
• Randomized Subsystem Descent for Fermion-to-Qubit Mapping
• High-Quality Hypergraph Partitioning
• Improving fermionic variational quantum eigensolvers with Majorana swap networks

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