EAN: 9783031013867

SYNTHESIS LECTURES ON QUANTUM COMPUTING THE C...

In quantum computing  where algorithms exist that can solve computational problems more
efficiently than any known classical algorithms  the elimination of errors that result from
external disturbances or from imperfect gates has become the holy grail  and a worldwide quest
for a large scale fault-tolerant  and computationally superior  quantum computer is currently
taking place. Optimists rely on the premise that  under a certain threshold of errors  an
arbitrary long fault-tolerant quantum computation can be achieved with only moderate (i.e.  at
most polynomial) overhead in computational cost. Pessimists  on the other hand  object that
there are in principle (as opposed to merely technological) reasons why such machines are still
inexistent  and that no matter what gadgets are used  large scale quantum computers will never
be computationally superior to classical ones. Lacking a complete empirical characterization of
quantum noise  the debate on the physical possibility of such machines invites philosophical
scrutiny. Making this debate more precise by suggesting a novel statistical mechanical
perspective thereof is the goal of this project.Table of Contents: Introduction   The Curse of
the Open System   To Balance a Pencil on Its Tip   Universality at All Cost   Coda

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