dorsal/arxiv
View SchemaQuantum Chaos Border for Quantum Computing
| Authors | B. Georgeot, D. L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909074 |
| URL | https://arxiv.org/abs/quant-ph/9909074 |
| DOI | 10.1103/PhysRevE.62.3504 |
Abstract
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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"abstract": "We study a generic model of quantum computer, composed of many qubits coupled\nby short-range interaction. Above a critical interqubit coupling strength,\nquantum chaos sets in, leading to quantum ergodicity of the computer\neigenstates. In this regime the noninteracting qubit structure disappears, the\neigenstates become complex and the operability of the computer is destroyed.\nDespite the fact that the spacing between multi-qubit states drops\nexponentially with the number of qubits $n$, we show that the quantum chaos\nborder decreases only linearly with $n$. This opens a broad parameter region\nwhere the efficient operation of a quantum computer remains possible.",
"arxiv_id": "quant-ph/9909074",
"authors": [
"B. Georgeot",
"D. L. Shepelyansky"
],
"categories": [
"quant-ph",
"chao-dyn",
"cond-mat",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.62.3504",
"title": "Quantum Chaos Border for Quantum Computing",
"url": "https://arxiv.org/abs/quant-ph/9909074"
},
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