The Elusive Source of Quantum Speedup |
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Authors: | Vlatko Vedral |
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Institution: | 1.Clarendon Laboratory,University of Oxford,Oxford,UK;2.Centre for Quantum Technologies,National University of Singapore,Singapore,Singapore;3.Department of Physics,National University of Singapore,Singapore,Singapore |
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Abstract: | We discuss two qualities of quantum systems: various correlations existing between their subsystems and the distinguishability
of different quantum states. This is then applied to analysing quantum information processing. While quantum correlations,
or entanglement, are clearly of paramount importance for efficient pure state manipulations, mixed states present a much richer
arena and reveal a more subtle interplay between correlations and distinguishability. The current work explores a number of
issues related with identifying the important ingredients needed for quantum information processing. We discuss the Deutsch-Jozsa
algorithm, the Shor algorithm, the Grover algorithm and the power of a single qubit class of algorithms. In the latter, a
quantity called discord is seen to be more important than entanglement. One section is dedicated to cluster states where entanglement
is crucial, but its precise role is highly counter-intuitive. Here we see that the notion of distinguishability becomes a
more useful concept. |
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Keywords: | |
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