Built on

Fault-tolerant preparation of approximate GKP states
Original
Yunong Shi, Christopher Chamberland, and Andrew W. Cross · 1905
Earlier work this paper cites.
Topological and subsystem codes on low-degree graphs with flag qubits
Original
Christopher Chamberland, Guanyu Zhu, Theodore J. Yoder, Jared B. Hertzberg, and Andrew W. Cross · 1907
Earlier work this paper cites.
Fault-tolerant quantum error correction on near-term quantum processors using flag and bridge qubits
Original
Lingling Lao and Carmen G. Almudever · 1909
Earlier work this paper cites.
Triangular color codes on trivalent graphs with flag qubits
Original
Christopher Chamberland, Aleksander Kubica, Theodore J. Yoder, and Guanyu Zhu · 1911
Earlier work this paper cites.
Fault-tolerant quantum computation
Peter W. Shor · 1996
Earlier work this paper cites.
Active stabilization, quantum computation, and quantum state synthesis
Andrew M. Steane · 1997
Earlier work this paper cites.
Threshold estimate for fault tolerant quantum computation
Christof Zalka · 1997
Earlier work this paper cites.
Scalable quantum computing in the presence of large detected-error rates
Emanuel Knill · 2005
Earlier work this paper cites.

Similar

Quantum accuracy threshold for concatenated distance-3 codes
Panos Aliferis, Daniel Gottesman, and John Preskill · 2006
Cited alongside, same era.
Effective fault-tolerant quantum computation with slow measurements
David P. DiVincenzo and Panos Aliferis · 2007
Cited alongside, same era.
An introduction to quantum error correction and fault-tolerant quantum computation
Original
Daniel Gottesman · 2010
Cited alongside, same era.
Flag fault-tolerant error correction with arbitrary distance codes
Original
Christopher Chamberland and Michael E. Beverland · 2018
Cited alongside, same era.
Fault-tolerant quantum computation with few qubits
Original
Rui Chao and Ben W. Reichardt · 2018
Cited alongside, same era.

Then

Flag fault-tolerant error correction, measurement, and quantum computation for cyclic CSS codes
Original
Theerapat Tansuwannont, Christopher Chamberland, and Debbie Leung · 2018
Later among the works it cites.
Is error detection helpful on IBM 5Q chips?
Original
Christophe Vuillot · 2018
Later among the works it cites.
Neural network decoder for topological color codes with circuit level noise
Original
Paul Baireuther, Marcello D. Caio, Ben Criger, Carlo W. J. Beenakker, and Thomas E. O’Brien · 2019
Closest in time.
Fault-tolerant protection of near-term trapped-ion topological qubits under realistic noise sources
Original
Alejandro Bermudez, Xiaosi Xu, Mauricio Gutiérrez, Simon C. Benjamin, and Markus Müller · 2019
Closest in time.
Fault-tolerant magic state preparation with flag qubits

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2019

Flag fault-tolerant error correction for any stabilizer code

Chao, Rui, Reichardt, Ben W.

Understand

Conventional fault-tolerant quantum error-correction schemes require a number of extra qubits that grows linearly with the code's maximum stabilizer generator weight.

For some common distance-three codes, the recent "flag paradigm" uses just two extra qubits.
Chamberland and Beverland (2018) provide a framework for flag error correction of arbitrary-distance codes.
However, their construction requires conditions that only some code families are known to satisfy.

Built on

Fault-tolerant preparation of approximate GKP states
Original
Yunong Shi, Christopher Chamberland, and Andrew W. Cross · 1905
Earlier work this paper cites.
Topological and subsystem codes on low-degree graphs with flag qubits
Original
Christopher Chamberland, Guanyu Zhu, Theodore J. Yoder, Jared B. Hertzberg, and Andrew W. Cross · 1907
Earlier work this paper cites.
Fault-tolerant quantum error correction on near-term quantum processors using flag and bridge qubits
Original
Lingling Lao and Carmen G. Almudever · 1909
Earlier work this paper cites.
Triangular color codes on trivalent graphs with flag qubits
Original
Christopher Chamberland, Aleksander Kubica, Theodore J. Yoder, and Guanyu Zhu · 1911
Earlier work this paper cites.
Fault-tolerant quantum computation
Peter W. Shor · 1996
Earlier work this paper cites.
Active stabilization, quantum computation, and quantum state synthesis
Andrew M. Steane · 1997
Earlier work this paper cites.
Threshold estimate for fault tolerant quantum computation
Christof Zalka · 1997
Earlier work this paper cites.
Scalable quantum computing in the presence of large detected-error rates
Emanuel Knill · 2005
Earlier work this paper cites.

Similar

Quantum accuracy threshold for concatenated distance-3 codes
Panos Aliferis, Daniel Gottesman, and John Preskill · 2006
Cited alongside, same era.
Effective fault-tolerant quantum computation with slow measurements
David P. DiVincenzo and Panos Aliferis · 2007
Cited alongside, same era.
An introduction to quantum error correction and fault-tolerant quantum computation
Original
Daniel Gottesman · 2010
Cited alongside, same era.
Flag fault-tolerant error correction with arbitrary distance codes
Original
Christopher Chamberland and Michael E. Beverland · 2018
Cited alongside, same era.
Fault-tolerant quantum computation with few qubits
Original
Rui Chao and Ben W. Reichardt · 2018
Cited alongside, same era.