12 May 2006 Finite temperature quantum logic
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Abstract
The engineering of practical quantum computers requires dealing with the so-called "temperature mismatch problem". More specifically, analysis of quantum logic using ensembles of quantum systems typically assumes very low temperatures, kT<< E, where T is the temperature, k is the Boltzmann's constant, and E is the energy separation used to represent the two different states of the qubits. On the other hand, in practice the electronics necessary to control these quantum gates will almost certainly have to operate at much higher temperatures. One solution to this problem is to construct electronic components that are able to work at very low temperatures, but the practical engineering of these devices continues to face many difficult challenges. Another proposed solution is to study the behavior of quantum gates devices continues to face many difficult challenges. Another proposed solution is to study the behavior of quantum gates different from the T=0 case, where collective interactions and stochastic phenomena are not taken into consideration. In this paper we discuss several aspects of quantum logic at finite temperature. In particular, we present analysis of the behavior of quantum systems undergoing a specified computation performed by quantum gates at nonzero temperature. Our main interest is the effect of temperature on the practical implementation of quantum computers to solve potentially large and time-consuming computations.
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Debabrata Ghoshal, Debabrata Ghoshal, Richard Gomez, Richard Gomez, Marco Lanzagorta, Marco Lanzagorta, Jeffrey Uhlmann, Jeffrey Uhlmann, } "Finite temperature quantum logic", Proc. SPIE 6244, Quantum Information and Computation IV, 624418 (12 May 2006); doi: 10.1117/12.665250; https://doi.org/10.1117/12.665250
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