Volume 134, Number 4, June 2021
|Number of page(s)||7|
|Published online||27 July 2021|
Energetic cost of Hamiltonian quantum gates
Department of Physics, University of Maryland, Baltimore County - Baltimore, MD 21250, USA and Instituto de Física “Gleb Wataghin”, Universidade Estadual de Campinas - 13083-859, Campinas, São Paulo, Brazil
Received: 9 February 2021
Accepted: 26 April 2021
Landauer's principle laid the main foundation for the development of modern thermodynamics of information. However, in its original inception the principle relies on semiformal arguments and dissipative dynamics. Hence, if and how Landauer's principle applies to unitary quantum computing is less than obvious. Here, we prove an inequality bounding the change of Shannon information encoded in the logical quantum states by quantifying the energetic cost of Hamiltonian gate operations. The utility of this bound is demonstrated by outlining how it can be applied to identify energetically optimal quantum gates in theory and experiment. The analysis is concluded by discussing the energetic cost of quantum error correcting codes with non-interacting qubits, such as Shor's code.
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