Fermion lattices can be simulated on same-size qubit lattices with O(1) interaction overhead by dynamically reorienting the Jordan-Wigner transformation.
Alam et al., Programmable digital quantum simula- tion of 2d fermi-hubbard dynamics using 72 supercon- ducting qubits (2025)
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A new quantum circuit method computes spectral functions A(k,ω) by simulating ARPES-like system-environment coupling, cutting sampling overhead by O(N) and demonstrated on a 54-qubit ion-trap processor for a 27-site chain.
The biplanar architecture maps Fermi-Hubbard spin sectors to two planes, eliminating swaps and cutting each Trotter step depth to 4t_synth + 90 logical timesteps versus 6t_synth + 354 in single-plane methods, yielding an estimated 2-hour runtime for L=8 with 1.35 million physical qubits under a 1% 1
A digital quantum processor simulates the 1D Fermi-Hubbard model on up to 120 qubits, observing spin-charge separation and achieving quantitative agreement with TDVP while running up to 3000 times faster in wall-clock time for long evolutions.
A trapped-ion architecture based on LDPC codes and cat-state factories achieves 110 logical qubits and one million T gates per day using 2514 physical qubits, with estimates for Heisenberg model simulation on 100 sites in one month using 10000 qubits.
An auxiliary-fermion encoding removes Jordan-Wigner strings for sparse non-local fermion models, achieving asymptotically optimal Trotter circuit depth on qubits after one-time state preparation.
citing papers explorer
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Fermion lattices can be simulated by same-size qubit lattices with $\mathcal{O}(1)$ interaction overhead
Fermion lattices can be simulated on same-size qubit lattices with O(1) interaction overhead by dynamically reorienting the Jordan-Wigner transformation.
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Spectral functions on a quantum computer through system-environment interaction
A new quantum circuit method computes spectral functions A(k,ω) by simulating ARPES-like system-environment coupling, cutting sampling overhead by O(N) and demonstrated on a 54-qubit ion-trap processor for a 27-site chain.
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Two Layers, No Swaps: Biplanar SPOQC Architecture Improves Runtime of Fermi-Hubbard Simulation
The biplanar architecture maps Fermi-Hubbard spin sectors to two planes, eliminating swaps and cutting each Trotter step depth to 4t_synth + 90 logical timesteps versus 6t_synth + 354 in single-plane methods, yielding an estimated 2-hour runtime for L=8 with 1.35 million physical qubits under a 1% 1
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Fast, accurate, high-resolution simulation of large-scale Fermi-Hubbard models on a digital quantum processor
A digital quantum processor simulates the 1D Fermi-Hubbard model on up to 120 qubits, observing spin-charge separation and achieving quantitative agreement with TDVP while running up to 3000 times faster in wall-clock time for long evolutions.
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Fault-Tolerant Quantum Computing with Trapped Ions: The Walking Cat Architecture
A trapped-ion architecture based on LDPC codes and cat-state factories achieves 110 logical qubits and one million T gates per day using 2514 physical qubits, with estimates for Heisenberg model simulation on 100 sites in one month using 10000 qubits.
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Efficient Simulation of Sparse, Non-Local Fermion Models
An auxiliary-fermion encoding removes Jordan-Wigner strings for sparse non-local fermion models, achieving asymptotically optimal Trotter circuit depth on qubits after one-time state preparation.