2D quantum computation with 3D topological codes

2018/10/22 by Bombin, Hector · 6 citations
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1810.09571

Abstract

I present a fault-tolerant quantum computing method for 2D architectures that is particularly appealing for photonic qubits. It relies on a crossover of techniques from topological stabilizer codes and measurement based quantum computation. In particular, it is based on 3D color codes and their transversal operations.

Cited by

• Constant depth magic state cultivation with Clifford measurements by gauging
• Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes
• Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic
• Finding diagonal logical gates in CSS codes and circuits
• Magic tricycles: Efficient magic state generation with finite block-length quantum LDPC codes
• Exponentially robust non-Clifford gate in a driven-dissipative circuit

Related

• Doubled Color Codes
• Decoding 3D color codes with boundaries
• Quantum Computation with Topological Codes: from qubit to topological fault-tolerance
• Universal fault tolerant quantum computation in 2D without getting tied in knots
• Fault-tolerant quantum computing with color codes