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The feasibility of computationally superior quantum computers is one of themost exciting and clear-cut scientific questions of our time. The questiontouches on fundamental issues regarding probability, physics, andcomputability, as well as on exciting problems in experimental physics,engineering, computer science, and mathematics. We propose three relateddirections towards a negative answer. The first is a conjecture about physicalrealizations of quantum codes, the second has to do with correlations instochastic physical systems, and the third proposes a model for quantumevolutions when noise accumulates. The paper is dedicated to the memory ofItamar Pitowsky.

How Quantum Computers Fail: Quantum Codes, Correlations in Physical Systems, and Noise Accumulation