Resource-optimized fault-tolerant simulation of the Fermi-Hubbard model and high-temperature superconductor models
arXiv:2411.02160 · doi:10.1038/s41534-025-01091-0
Abstract
Exploring low-cost applications is paramount to creating value in early fault-tolerant quantum computers. Here we optimize both gate and qubit counts of recent algorithms for simulating the Fermi-Hubbard model. We further devise and compile algorithms to simulate established models of cuprate and pnictide high-temperature superconductors, which include beyond-nearest-neighbor hopping terms and multi-orbital interactions that are absent in the Fermi-Hubbard model. We show that simulations of these more realistic models of high-temperature superconductors require only an order of magnitude or so more Toffoli gates than a simulation of the Fermi-Hubbard model. Furthermore, we find plenty classically difficult instances with Toffoli and qubit counts that far lower than commonly considered quantum phase estimation circuits for electronic structure problems in quantum chemistry. We believe our results pave the way towards studying high-temperature superconductors on early fault-tolerant quantum computers.
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References in corpus (16)
- Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsOF}
- A minimal two-band model for the superconducting Fe-pnictides
- Is there evidence for exponential quantum advantage in quantum chemistry?
- Properties of a two orbital model for oxypnictide superconductors: Magnetic order, B_2g spin-singlet pairing channel, and its nodal structure
- Single-ancilla ground state preparation via Lindbladians
- Low energy theory of the t-t'-t''-U Hubbard Model at half-filling: interaction strengths in cuprate superconductors and an effective spin-only description of La_2CuO_4
- Initial state preparation for quantum chemistry on quantum computers
- Hunting for quantum-classical crossover in condensed matter problems
- Shorter quantum circuits via single-qubit gate approximation
- low-energy effective Hamiltonians for high-temperature superconducting cuprates BiSrCuO, BiSrCaCuO, HgBaCuO and CaCuO
- Fault-tolerant quantum computation of molecular observables
- Faster quantum chemistry simulations on a quantum computer with improved tensor factorization and active volume compilation
- Trotter error with commutator scaling for the Fermi-Hubbard model
- Option pricing under stochastic volatility on a quantum computer
- Paramagnon dispersion and damping in doped NaCaCuOCl
- Photoexcitations in the Hubbard model -- generalized Loschmidt amplitude analysis of impact ionization in small clusters