By Amit Hagar
In quantum computing, the place algorithms exist that could remedy computational difficulties extra successfully than any recognized classical algorithms, the removal of error that end result from exterior disturbances or from imperfect gates has develop into the "holy grail", and a world quest for a wide scale fault-tolerant, and computationally more desirable, quantum desktop is at present occurring. Optimists depend upon the basis that, less than a undeniable threshold of blunders, an arbitrary lengthy fault-tolerant quantum computation should be accomplished with simply reasonable (i.e., at so much polynomial) overhead in computational fee. Pessimists, nonetheless, item that there are in precept (as against simply technological) the reason why such machines are nonetheless inexistent, and that it doesn't matter what contraptions are used, huge scale quantum pcs is not computationally better to classical ones. missing an entire empirical characterization of quantum noise, the controversy at the actual hazard of such machines invitations philosophical scrutiny. Making this debate extra particular via suggesting a singular statistical mechanical standpoint thereof is the objective of this undertaking. desk of Contents: advent / The Curse of the Open method / To stability a Pencil on Its Tip / Universality in any respect rate / Coda
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Additional resources for The Complexity of Noise: A Philosophical Outlook on Quantum Error Correction (Synthesis Lectures on Quantum Computing)
Note however, that if proponents of active FTQEC accepted this benign version of interventionism, then the motivation for looking at error correction as an active process would be somewhat blunted. In fact, if proponents of active FTQEC agreed to limit the consequence of external noise to that of perturbing the system form a state that exhibits a non–thermodynamic behavior and putting it back on a state that exhibits normal thermodynamic behavior, then the question one should ask in the context of FTQEC is not how to eliminate the noise, but rather how to create those abnormal states to begin with.
There are essentially two basic questions here: (a) the physical possibility of Maxwell’s demon and (b) the merit of the arguments, based on Landauer’s principle, for its exorcism. Both these questions are still open (50), and it is not my intention to go into details here. My modest aim is only to point at another confusion that surrounds the threshold theorems. For this reason, I shall assume neutrality with respect to questions (a) and (b) above, and focus on the claims made in the quantum information community: I.
Chapter 2 has pointed out several analogies that exist between the foundations of this branch and the debate on the feasibility of large scale, fault–tolerant, and computationally superior quantum computers. In this chapter, we shall rely on the foundations of classical SM again, and, in particular, on the combinatorial approach of Boltzmann, for the purpose of motivating the skeptical conjecture in the context of the passive approach to quantum error avoidance. In his response to criticism mounted against his (in)famous attempt to dynamically ‘derive’ the second law of thermodynamics (also known as the H –theorem), and, in particular, to Loschmidt’s reversibility objection, Boltzmann shifted to what is known today as the probabilistic, or combinatorial, approach ((156) pp.
The Complexity of Noise: A Philosophical Outlook on Quantum Error Correction (Synthesis Lectures on Quantum Computing) by Amit Hagar