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2D Compass Codes

delete2019-05-29
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L
Li, Muyuan
D
Daniel Miller
N
Newman, Michael *
W
Wu, Yukai
B
Brown, Kenneth R.
DOI:10.1103/PhysRevX.9.021041delete
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Abstract

Abstract

En 中文
The compass model on a square lattice provides a natural template for building subsystem stabilizer codes. The surface code and the Bacon-Shor code represent two extremes of possible codes depending on how many gauge qubits are fixed. We explore threshold behavior in this broad class of local codes by trading locality for asymmetry and gauge degrees of freedom for stabilizer syndrome information. We analyze these codes with asymmetric and spatially inhomogeneous Pauli noise in the code capacity and phenomenological models. In these idealized settings, we observe considerably higher thresholds against asymmetric noise. At the circuit level, these codes inherit the bare-ancilla fault tolerance of the Bacon-Shor code.
Keywords:
ERROR-CORRECTING CODES
QUANTUM
THRESHOLD
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Journal

Physical Review X cover
Physical Review X
IF:
15.7
Papers:
2.7K
Citations:
3.4W

Organization

G
Georgia Institute of Technology
Scholars:
1.8W
Papers: 1.4W
Citations: 5.9W
D
Duke University
Scholars:
6.3W
Papers: 5.7W
Citations: 6.5W
U
university system of georgia
Scholars:
7.3W
Papers: 6.6W
Citations: 101
H
Heinrich Heine University Dusseldorf
Scholars:
1.8W
Papers: 1.4W
Citations: 126
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Cited Papers

Cited Papers

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errPanita Chutimanukul; Kriengkrai Mosaleeyanon; Supattana Janta; Theerayut Toojinda; Clive Terence Darwell; Praderm Wanichananan
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The surface code with a twist
errQUANTUM
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err2017-04-25
err94
errOAAI
errYoder, Theodore J.; Kim, Isaac H.
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