Physics – Quantum Physics
Scientific paper
2010-12-02
J. Phys. A: Math. Theor. Vol. 44, page 155301 (2011)
Physics
Quantum Physics
30 pages, 16 figures, submitted to Jour. Phys. A
Scientific paper
Topological subsystem codes proposed recently by Bombin are quantum error correcting codes defined on a two-dimensional grid of qubits that permit reliable quantum information storage with a constant error threshold. These codes require only the measurement of two-qubit nearest-neighbor operators for error correction. In this paper we demonstrate that topological subsystem codes (TSCs) can be viewed as generalizations of Kitaev's honeycomb model to trivalent hypergraphs. This new connection provides a systematic way of constructing TSCs and analyzing their properties. We also derive a necessary and sufficient condition under which a syndrome measurement in a subsystem code can be reduced to measurements of the gauge group generators. Furthermore, we propose and implement some candidate decoding algorithms for one particular TSC assuming perfect error correction. Our Monte Carlo simulations indicate that this code, which we call the five-squares code, has a threshold against depolarizing noise of at least 2%.
Bravyi Sergey
Suchara Martin
Terhal Barbara M.
No associations
LandOfFree
Constructions and Noise Threshold of Topological Subsystem Codes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Constructions and Noise Threshold of Topological Subsystem Codes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constructions and Noise Threshold of Topological Subsystem Codes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-603680