We study a generic model of quantum computer, composed of many qubits coupled by short-range inter action. Above a critical interqubit coupling strength, quantum chaos sets in, leading to quantum ergodicity of the computer eigenstates. In this regime the noninteracting qubit structure disappears, the eigenstates become complex, and the operability of the computer is destroyed. Despite the fact that the spacing between multiqubit states drops exponentially with the number of qubits n, we show that the quantum chaos border decreases only linearly with n. This opens a broad parameter region where the efficient operation of a quantum computer remains possible.
机构:
Inst. für Theoretische Physik I, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, GermanyInst. für Theoretische Physik I, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany
Kim, Ilki
Mahler, Günter
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机构:
Inst. für Theoretische Physik I, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, GermanyInst. für Theoretische Physik I, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany
机构:
Univ New Mexico, Dept Math, Los Alamos, NM USA
Univ New Mexico, Dept Mech Engn, Albuquerque, NM 87131 USAUniv New Mexico, Dept Math, Los Alamos, NM USA