Quantum

Ground-state energy estimation compiled on cat qubits: 7 164 qubits for FeMoco-54 in 23.5 hours

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Briefings

A new compilation of algorithms for electronic structure Hamiltonians on superconducting cat qubits enables ground-state energy estimation for FeMoco-54 and FeMoco-76 benchmarks. Using an LDPC-cat architecture, the study estimates FeMoco-54 requires fewer than 7,500 cat qubits with an expected runtime under one day for a single phase estimation run, assuming negligible bit-flip errors. Relaxing bit-flip requirements to 10^-11 raises the estimate to approximately 13,000 cat qubits.

Key points

• The study provides a detailed resource estimate for sum-of-squares block encoding algorithms on superconducting cat qubits using closed-form costs of dominant subroutines.
• FeMoco-54 requires fewer than 7,500 cat qubits with an expected runtime under one day for a single phase estimation run using an LDPC-cat architecture.

Context

This research compiles algorithmic qubits for electronic structure Hamiltonians, specifically targeting benchmarks of FeMoco-54 and FeMoco-76. The findings utilize asymmetric access costs between X and Z bases to minimize Clifford correction overhead.

Limitations

Resource estimates assume negligible bit-flip errors and a specific cycle time of 1 microsecond. The study does not account for additional noise sources or hardware imperfections beyond the specified parameters.

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