Time-Efficient Logical Operations on Quantum Low-Density Parity Check Codes

L. M. L. L. D. Landau, Quantum Mechanics: Non-Relativistic Theory (Butterworth-Heinemann, 1981)

1981

Earlier work this paper cites.

M. A. Nielsen, Quantum computation by measurement and quantum memory, Phys. Lett. A 308

2003

Earlier work this paper cites.

D. Poulin, Stabilizer formalism for operator quantum error correction, Phys. Rev. Lett. 95

2005

Earlier work this paper cites.

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: Towards practical large-scale quantum computation, Phys. Rev. A 86

2012

Earlier work this paper cites.

D. Horsman, A. G. Fowler, S. Devitt, and R. V. Meter, Surface code quantum computing by lattice surgery, New J. Phys. 14

2012

Earlier work this paper cites.

A. A. Kovalev and L. P. Pryadko, Improved quantum hypergraph-product ldpc codes, in IEEE Int. Symp. Inf. Theory - Proc. (IEEE, 2012)

2012

Earlier work this paper cites.

D. Gottesman, Fault-tolerant quantum computation with constant overhead, Quantum Inf. Comput. 14

2014

Earlier work this paper cites.

J.-P. Tillich and G. Zemor, Quantum ldpc codes with positive rate and minimum distance proportional to the square root of the blocklength, IEEE Trans. Inf. Theory 60

2014

Earlier work this paper cites.

S. Bravyi and M. B. Hastings, Homological product codes, in Proceedings of the forty-sixth annual ACM symposium on Theory of computing , STOC ’14 (ACM, 2014)

2014

Earlier work this paper cites.

H. Bombín, Single-shot fault-tolerant quantum error correction, Phys. Rev. X 5

2015

Cited alongside, same era.

J. O’Gorman and E. T. Campbell, Quantum computation with realistic magic-state factories, Phys. Rev. A 95

2017

Cited alongside, same era.

R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, Encoding electronic spectra in quantum circuits with linear t complexity, Phys. Rev. X 8

2018

Cited alongside, same era.

C. Vuillot, L. Lao, B. Criger, C. García Almudéver, K. Bertels, and B. M. Terhal, Code deformation and lattice surgery are gauge fixing, New J. Phys. 21

2019

Cited alongside, same era.

D. Litinski, A game of surface codes: Large-scale quantum computing with lattice surgery, Quantum 3

2019

Cited alongside, same era.

A. O. Quintavalle, M. Vasmer, J. Roffe, and E. T. Campbell, Single-shot error correction of three-dimensional homological product codes, PRX Quantum 2

2021

Later among the works it cites.

L. Z. Cohen, I. H. Kim, S. D. Bartlett, and B. J. Brown, Low-overhead fault-tolerant quantum computing using long-range connectivity, Sci. Adv. 8

2022

Later among the works it cites.

D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, J. P. Bonilla Ataides, N. Maskara, I. Cong, X. Gao, P. Sales Rodriguez, T. Karolyshyn, G. Semeghini, M. J. Gullans, M. Greiner, V. Vuletić, and M. D. Lukin, Logical quantum processor based on reconfigurable atom arrays, Nature 626

2023

Later among the works it cites.

S. J. Evered, D. Bluvstein, M. Kalinowski, S. Ebadi, T. Manovitz, H. Zhou, S. H. Li, A. A. Geim, T. T. Wang, N. Maskara, H. Levine, G. Semeghini, M. Greiner, V. Vuletić, and M. D. Lukin, High-fidelity parallel entangling gates on a neutral-atom quantum computer, Nature 622