Eigenstates of Operating Quantum Computer: Hypersensitivity to Static Imperfections

Details Eigenstates of Operating Quantum Computer: Hypersensitivity to Static Imperfections Eigenstates of Operating Quantum Computer: Hypersensitivity to Static Imperfections

2001-12-21

arxiv.org/abs/quant-ph/0112132v1

Eur. Phys. J. D 20 (2002) 293

Physics

Quantum Physics

revtex, 4 pages, 4 figures

Scientific paper

10.1140/epjd/e2002-00127-x

We study the properties of eigenstates of an operating quantum computer which simulates the dynamical evolution in the regime of quantum chaos. Even if the quantum algorithm is polynomial in number of qubits $n_q$, it is shown that the ideal eigenstates become mixed and strongly modified by static imperfections above a certain threshold which drops exponentially with $n_q$. Above this threshold the quantum eigenstate entropy grows linearly with $n_q$ but the computation remains reliable during a time scale which is polynomial in the imperfection strength and in $n_q$.

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