2000/06/15 by Dima L. Shepelyansky, D. L. Shepelyansky · 2 citations
Computer Science · Physics and Astronomy · #Neural Networks and Reservoir Computing #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum chaos #Quantum computer #Quantum discord #Quantum dissipation #Quantum dynamics #Quantum error correction #Quantum information #Quantum mechanics #Quantum network #Quantum process #Quantum simulator #Quantum technology #Qubit #cond-mat #quant-ph
paper · pdf · doi:10.1238/physica.topical.090a00112
published as Physica Scripta, T90, 112-120 (2001) · Lecture at Nobel symposium on "Quantum chaos", June 2000, Sweden; revtex, 10 pages, 9 figures
arxiv created 2000/06/15 · openalex publication_date 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The standard generic quantum computer model is studied analytically and numerically and the border for emergence of quantum chaos, induced by imperfections and residual inter-qubit couplings, is determined. This phenomenon appears in an isolated quantum computer without any external decoherence. The onset of quantum chaos leads to quantum computer hardware melting, strong quantum entropy growth and destruction of computer operability. The time scales for development of quantum chaos and ergodicity are determined. In spite the fact that this phenomenon is rather dangerous for quantum computing it is shown that the quantum chaos border for inter-qubit coupling is exponentially larger than the energy level spacing between quantum computer eigenstates and drops only linearly with the number of qubits n . As a result the ideal multi-qubit structure of the computer remains rather robust against imperfections. This opens a broad parameter region for a possible realization of quantum computer. The obtained results are related to the recent studies of quantum chaos in such many-body systems as nuclei, complex atoms and molecules, finite Fermi systems and quantum spin glass shards which are also reviewed in the paper.