Universal fault-tolerant measurement-based quantum computation

2018/11/28 by Benjamin J. Brown, Sam Roberts · 1 voice
Computer Science · Physics and Astronomy · #Computation #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum algorithm #Quantum circuit #Quantum computer #Quantum error correction #Quantum gate #Quantum network #Quantum technology #Qubit #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevresearch.2.033305

published as Phys. Rev. Research 2, 033305 (2020) · 28 pages, 23 figures, comments welcome; v2 - final version, minor corrections made following peer-review process

arxiv published 2018/11/28 · openalex created_date 2018/12/11 · arxiv created 2020/08/25 · openalex publication_date 2020/08/25 · arxiv updated 2020/08/27 · openalex updated_date 2026/08/05

Abstract

The authors show how to map models for scalable quantum computation that have been designed for more conventional static qubits onto into a measurement-based picture; a model of quantum computation that is well suited for qubits that fly through space at the speed of light. The paper shows how to simulate braids between Majorana fermions with photonic qubits to perform the fault-tolerant logic gates of a scalable quantum computer.

Citations

• Introduction to Topological Quantum Computation
• A family of stabilizer codes for D(ℤ₂) anyons and Majorana modes
• Topological color code and symmetry-protected topological phases
• Operator quantum error-correcting subsystems for self-correcting quantum memories
• Measurement-based quantum computation
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Topological quantum memory
• State preservation by repetitive error detection in a superconducting quantum circuit
• Topological Computation without Braiding
• Stabilizer Formalism for Operator Quantum Error Correction
• Measurement-based quantum computation with cluster states
• Good Quantum Error-Correcting Codes Exist
• Anyons in an exactly solved model and beyond
• Non-Abelian anyons and topological quantum computation
• Nonabelions in the fractional quantum hall effect
• Foliated Quantum Error-Correcting Codes
• Poking Holes and Cutting Corners to Achieve Clifford Gates with the Surface Code
• A Short Introduction to Topological Quantum Computation

Discussions

• I am looking into implementing surface code protocols in FBQC, which uses smaller cluster states and bell measurements to achieve what MBQC does. The lattice surgery operations in bth paradigms follow [stackexchange, 1 points]

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