Emergence of Fermi-Dirac thermalization in the quantum computer core View Full Text


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Article Info

DATE

2001-11

AUTHORS

G. Benenti, G. Casati, D.L. Shepelyansky

ABSTRACT

We model an isolated quantum computer as a two-dimensional lattice of qubits (spin halves) with fluctuations in individual qubit energies and residual short-range inter-qubit couplings. In the limit when fluctuations and couplings are small compared to the one-qubit energy spacing, the spectrum has a band structure and we study the quantum computer core (central band) with the highest density of states. Above a critical inter-qubit coupling strength, quantum chaos sets in, leading to quantum ergodicity of eigenstates in an isolated quantum computer. The onset of chaos results in the interaction induced dynamical thermalization and the occupation numbers well described by the Fermi-Dirac distribution. This thermalization destroys the noninteracting qubit structure and sets serious requirements for the quantum computer operability. More... »

PAGES

265-272

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s100530170031

DOI

http://dx.doi.org/10.1007/s100530170031

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1007728439


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