dorsal/arxiv
View SchemaDynamical description of quantum computing: generic nonlocality of quantum noise
| Authors | Robert Alicki, Michal Horodecki, Pawel Horodecki, Ryszard Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105115 |
| URL | https://arxiv.org/abs/quant-ph/0105115 |
| DOI | 10.1103/PhysRevA.65.062101 |
| Journal | Phys. Rev. A 65, 062101 (2002) |
Abstract
We develop dynamical non-Markovian description of quantum computing in weak coupling limit, in lowest order approximation. We show that long range memory of quantum reservoir produces strong interrelation between structure of noise and quantum algorithm, implying nonlocal attacks of noise. We then argue that the quantum error correction method fails to protect quantum computation against electromagnetic or phonon vacuum which exhibit $1/t^4$ memory. This shows that the implicit assumption of quantum error correction theory -- independence of noise and self-dynamics -- fails in long time regimes. We also use our approach to present {\it pure} decoherence and decoherence accompanied by dissipation in terms of spectral density of reservoir. The so-called {\it dynamical decoupling} method is discussed in this context. Finally, we propose {\it minimal decoherence model}, in which the only source of decoherence is vacuum. We optimize fidelity of quantum information processing under the trade-off between speed of gate and strength of decoherence.
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"abstract": "We develop dynamical non-Markovian description of quantum computing in weak\ncoupling limit, in lowest order approximation. We show that long range memory\nof quantum reservoir produces strong interrelation between structure of noise\nand quantum algorithm, implying nonlocal attacks of noise. We then argue that\nthe quantum error correction method fails to protect quantum computation\nagainst electromagnetic or phonon vacuum which exhibit $1/t^4$ memory. This\nshows that the implicit assumption of quantum error correction theory --\nindependence of noise and self-dynamics -- fails in long time regimes. We also\nuse our approach to present {\\it pure} decoherence and decoherence accompanied\nby dissipation in terms of spectral density of reservoir. The so-called {\\it\ndynamical decoupling} method is discussed in this context. Finally, we propose\n{\\it minimal decoherence model}, in which the only source of decoherence is\nvacuum. We optimize fidelity of quantum information processing under the\ntrade-off between speed of gate and strength of decoherence.",
"arxiv_id": "quant-ph/0105115",
"authors": [
"Robert Alicki",
"Michal Horodecki",
"Pawel Horodecki",
"Ryszard Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.062101",
"journal_ref": "Phys. Rev. A 65, 062101 (2002)",
"title": "Dynamical description of quantum computing: generic nonlocality of quantum noise",
"url": "https://arxiv.org/abs/quant-ph/0105115"
},
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