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We model an isolated quantum computer as a two-dimensional lattice of qubits(spin halves) with fluctuations in individual qubit energies and residualshort-range inter-qubit couplings. In the limit when fluctuations and couplingsare small compared to the one-qubit energy spacing, the spectrum has a bandstructure and we study the quantum computer core (central band) with thehighest density of states. Above a critical inter-qubit coupling strength,quantum chaos sets in, leading to quantum ergodicity of eigenstates in anisolated quantum computer. The onset of chaos results in the interactioninduced dynamical thermalization and the occupation numbers well described bythe Fermi-Dirac distribution. This thermalization destroys the noninteractingqubit structure and sets serious requirements for the quantum computeroperability.Comment: revtex, 8 pages, 9 figure

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Emergence of Fermi-Dirac thermalization in the quantum computer core