Opportunities and Challenges in Fault-Tolerant Quantum Computation

Abstract

I will give an overview of what I see as some of the most important future directions in the theory of fault-tolerant quantum computation. In particular, I will give a brief summary of the major problems that need to be solved in fault tolerance based on low-density parity check codes and in hardware-specific fault tolerance. I will then conclude with a discussion of a possible new paradigm for designing fault-tolerant protocols based on a space-time picture of quantum circuits.

arXiv comment24 pages, to appear in Proc. 28th Solvay Conference on Physics

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