Built on

C. Gidney and A. G. Fowler, Flexible layout of surface code computations using AutoCCZ states (2019b), arXiv:1905.08916
Original
1905
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary (1998)
1998
Earlier work this paper cites.
D. Gottesman and I. L. Chuang, Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations, Nature 402
1999
Earlier work this paper cites.
X. Zhou, D. W. Leung, and I. L. Chuang, Methodology for quantum logic gate construction, Physical Review A 62
2000
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
S. Bravyi and A. Kitaev, Universal quantum computation with ideal Clifford gates and noisy ancillas, Physical Review A 71
2005
Earlier work this paper cites.
E. Knill, Quantum computing with realistically noisy devices, Nature 434
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 (2012), arXiv:1208.0928
Original
2012
Earlier work this paper cites.
A. G. Fowler and S. J. Devitt, A bridge to lower overhead quantum computation (2012)
2012
Earlier work this paper cites.
H. Bombin, G. Duclos-Cianci, and D. Poulin, Universal topological phase of two-dimensional stabilizer codes, New Journal of Physics 14
2012
Earlier work this paper cites.
D. Horsman, A. G. Fowler, S. Devitt, and R. V. Meter, Surface code quantum computing by lattice surgery (2013), arXiv:1111.4022
Original
2013
Earlier work this paper cites.
Y. Li, A magic state’s fidelity can be superior to the operations that created it, New Journal of Physics 17
2015
Earlier work this paper cites.
A. Kubica, B. Yoshida, and F. Pastawski, Unfolding the color code, New Journal of Physics 17
2015
Earlier work this paper cites.
J. E. Moussa, Transversal Clifford gates on folded surface codes (2016), arXiv:1603.02286
Original
2016
Earlier work this paper cites.
B. Criger and B. Terhal, Noise Thresholds for the [[4, 2, 2]]-concatenated Toric Code (2016), arXiv:1604.04062
Original
2016
Earlier work this paper cites.

Similar

B. J. Brown, K. Laubscher, M. S. Kesselring, and J. R. Wootton, Poking Holes and Cutting Corners to Achieve Clifford Gates with the Surface Code, Physical Review X 7
2017
Cited alongside, same era.
D. Litinski, A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery (2019), arXiv:1808.02892
Original
2019
Cited alongside, same era.
A. G. Fowler and C. Gidney, Low overhead quantum computation using lattice surgery (2019), arXiv:1808.06709
Original
2019
Cited alongside, same era.
M. Vasmer and D. E. Browne, Three-dimensional surface codes: Transversal gates and fault-tolerant architectures, Phys. Rev. A 100
2019
Cited alongside, same era.
S. Bravyi, D. Browne, P. Calpin, E. Campbell, D. Gosset, and M. Howard, Simulation of quantum circuits by low-rank stabilizer decompositions, Quantum 3

Then

Z.-H. Chen, M.-C. Chen, C.-Y. Lu, and J.-W. Pan, Transversal Logical Clifford gates on rotated surface codes with reconfigurable neutral atom arrays (2024), arXiv:2412.01391
Original
2024
Later among the works it cites.
T. Itogawa, Y. Takada, Y. Hirano, and K. Fujii, Even more efficient magic state distillation by zero-level distillation (2024), arXiv:2403.03991
Original
2024
Later among the works it cites.
Y. Hirano, T. Itogawa, and K. Fujii, Leveraging Zero-Level Distillation to Generate High-Fidelity Magic States (2024), arXiv:2404.09740
Original
2024
Later among the works it cites.
S. Heußen and J. Hilder, Efficient fault-tolerant code switching via one-way transversal cnot gates (2024), arXiv:2409.13465 [quant-ph]
Original
2024
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2025

Efficient Magic State Cultivation on $\mathbb{RP}^2$

Chen, Zi-Han, Chen, Ming-Cheng, Lu, Chao-Yang et al.

Understand

Preparing high-fidelity logical magic states is crucial for fault-tolerant quantum computation.

Among prior attempts to reduce the substantial cost of magic state preparation, magic state cultivation (MSC), a recently proposed protocol for preparing $\mathrm{T}$ states without magic state distillation, achieves state-of-the-art efficiency.
Inspired by this work, we propose a new MSC procedure that would produce a logical $\mathrm{T}$ state on a rotated surface code at a further reduced cost.
For our MSC protocol, we define a new code family, the $\mathbb {RP}^2$ code, by putting the rotated surface code on $\mathbb{RP}^2$ (a two-dimensional manifold), as well as two self-dual CSS codes named SRP-3 and SRP-5 respectively.

Built on

C. Gidney and A. G. Fowler, Flexible layout of surface code computations using AutoCCZ states (2019b), arXiv:1905.08916
Original
1905
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary (1998)
1998
Earlier work this paper cites.
D. Gottesman and I. L. Chuang, Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations, Nature 402
1999
Earlier work this paper cites.
X. Zhou, D. W. Leung, and I. L. Chuang, Methodology for quantum logic gate construction, Physical Review A 62
2000
Earlier work this paper cites.
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
S. Bravyi and A. Kitaev, Universal quantum computation with ideal Clifford gates and noisy ancillas, Physical Review A 71
2005
Earlier work this paper cites.
E. Knill, Quantum computing with realistically noisy devices, Nature 434
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 (2012), arXiv:1208.0928
Original
2012
Earlier work this paper cites.
A. G. Fowler and S. J. Devitt, A bridge to lower overhead quantum computation (2012)
2012
Earlier work this paper cites.
H. Bombin, G. Duclos-Cianci, and D. Poulin, Universal topological phase of two-dimensional stabilizer codes, New Journal of Physics 14
2012
Earlier work this paper cites.
D. Horsman, A. G. Fowler, S. Devitt, and R. V. Meter, Surface code quantum computing by lattice surgery (2013), arXiv:1111.4022
Original
2013
Earlier work this paper cites.
Y. Li, A magic state’s fidelity can be superior to the operations that created it, New Journal of Physics 17
2015
Earlier work this paper cites.
A. Kubica, B. Yoshida, and F. Pastawski, Unfolding the color code, New Journal of Physics 17
2015
Earlier work this paper cites.
J. E. Moussa, Transversal Clifford gates on folded surface codes (2016), arXiv:1603.02286
Original
2016
Earlier work this paper cites.
B. Criger and B. Terhal, Noise Thresholds for the [[4, 2, 2]]-concatenated Toric Code (2016), arXiv:1604.04062
Original
2016
Earlier work this paper cites.

Similar

B. J. Brown, K. Laubscher, M. S. Kesselring, and J. R. Wootton, Poking Holes and Cutting Corners to Achieve Clifford Gates with the Surface Code, Physical Review X 7
2017
Cited alongside, same era.
D. Litinski, A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery (2019), arXiv:1808.02892
Original
2019
Cited alongside, same era.
A. G. Fowler and C. Gidney, Low overhead quantum computation using lattice surgery (2019), arXiv:1808.06709
Original
2019
Cited alongside, same era.
M. Vasmer and D. E. Browne, Three-dimensional surface codes: Transversal gates and fault-tolerant architectures, Phys. Rev. A 100
2019
Cited alongside, same era.
S. Bravyi, D. Browne, P. Calpin, E. Campbell, D. Gosset, and M. Howard, Simulation of quantum circuits by low-rank stabilizer decompositions, Quantum 3

Then

Z.-H. Chen, M.-C. Chen, C.-Y. Lu, and J.-W. Pan, Transversal Logical Clifford gates on rotated surface codes with reconfigurable neutral atom arrays (2024), arXiv:2412.01391
Original
2024
Later among the works it cites.
T. Itogawa, Y. Takada, Y. Hirano, and K. Fujii, Even more efficient magic state distillation by zero-level distillation (2024), arXiv:2403.03991
Original
2024
Later among the works it cites.
Y. Hirano, T. Itogawa, and K. Fujii, Leveraging Zero-Level Distillation to Generate High-Fidelity Magic States (2024), arXiv:2404.09740
Original
2024
Later among the works it cites.
S. Heußen and J. Hilder, Efficient fault-tolerant code switching via one-way transversal cnot gates (2024), arXiv:2409.13465 [quant-ph]
Original
2024
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2019

Cited alongside, same era.

C. Chamberland and K. Noh, Very low overhead fault-tolerant magic state preparation using redundant ancilla encoding and flag qubits, npj Quantum Information 6

2020

Cited alongside, same era.

C. Gidney, Stim: a fast stabilizer circuit simulator, Quantum 5

2021

Cited alongside, same era.

D. Bluvstein, H. Levine, G. Semeghini, T. T. Wang, S. Ebadi, M. Kalinowski, A. Keesling, N. Maskara, H. Pichler, M. Greiner, V. Vuletić, and M. D. Lukin, A quantum processor based on coherent transport of entangled atom arrays, Nature 604

2022

Cited alongside, same era.

A. Kissinger, J. van de Wetering, and R. Vilmart, Classical Simulation of Quantum Circuits with Partial and Graphical Stabiliser Decompositions, LIPIcs, Volume 232, TQC 2022 232

2022

Cited alongside, same era.

H. Bombin, C. Dawson, R. V. Mishmash, N. Nickerson, F. Pastawski, and S. Roberts, Logical blocks for fault-tolerant topological quantum computation (2023), arXiv:2112.12160

Original

2023

Cited alongside, same era.

Quantinuum and Collaborators, A Race-Track Trapped-Ion Quantum Processor, Physical Review X 13

2023

Cited alongside, same era.

M. McEwen, D. Bacon, and C. Gidney, Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics, Quantum 7

2023

Cited alongside, same era.

S.-H. Lee, F. Thomsen, N. Fazio, B. J. Brown, and S. D. Bartlett, Low-overhead magic state distillation with color codes (2024), arXiv:2409.07707

Original

2024