Quantum Chaos Border for Quantum Computing

Details Quantum Chaos Border for Quantum Computing Quantum Chaos Border for Quantum Computing

1999-09-23

arxiv.org/abs/quant-ph/9909074v3

Physics

Quantum Physics

revtex, 4 pages, 5 figures, more details and data added

Scientific paper

10.1103/PhysRevE.62.3504

We study a generic model of quantum computer, composed of many qubits coupled by short-range interaction. 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 multi-qubit 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.

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