Majorana loop stabilizer codes for error correction of fermionic quantum simulations

@article{Jiang2018MajoranaLS,
  title={Majorana loop stabilizer codes for error correction of fermionic quantum simulations},
  author={Zhang Jiang and J. McClean and R. Babbush and H. Neven},
  journal={arXiv: Quantum Physics},
  year={2018}
}
Fermion-to-qubit mappings that preserve geometric locality are especially useful for simulating lattice fermion models (e.g., the Hubbard model) on a quantum computer. They avoid the overhead associated with geometric non-local parity terms in mappings such as the Jordan-Wigner transformation and the Bravyi-Kitaev transformation. As a result, they often provide quantum circuits with lower depth and gate complexity. In such encodings, fermionic states are encoded in the common +1 eigenspace of a… Expand
Decoding quantum errors with subspace expansions
Free fermions behind the disguise
Estimating exact energies in quantum simulation without Toffoli gates
Efficient and noise resilient measurements for quantum chemistry on near-term quantum computers
Resource-Efficient Quantum Computing by Breaking Abstractions
Quantum Simulation of Chemistry with Sublinear Scaling to the Continuum
...
1
2
...

References

SHOWING 1-10 OF 92 REFERENCES
Non-commuting two-local Hamiltonians for quantum error suppression
Bravyi-Kitaev Superfast simulation of electronic structure on a quantum computer.
Fermionic quantum computation
Quantum computation with realistic magic-state factories
...
1
2
3
4
5
...