dorsal/arxiv
View SchemaPerformance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
| Authors | Kaveh Khodjasteh, Daniel A. Lidar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607086 |
| URL | https://arxiv.org/abs/quant-ph/0607086 |
| DOI | 10.1103/PhysRevA.75.062310 |
| Journal | Phys. Rev. A. 75, 062310 (2007) |
Abstract
Dynamical decoupling can be used to preserve arbitrary quantum states despite undesired interactions with the environment, using control Hamiltonians affecting the system only. We present a system-independent analysis of dynamical decoupling based on leading order decoupling error estimates, valid for bounded-strength environments. Using as a key tool a renormalization transformation of the effective system-bath coupling Hamiltonian, we delineate the reliability domain of dynamical decoupling used for quantum state preservation, in a general setting for a single qubit. We specifically analyze and compare two deterministic dynamical decoupling schemes -- periodic and concatenated -- and distinguish between two limiting cases of fast versus slow environments. We prove that concatenated decoupling outperforms periodic decoupling over a wide range of parameters. These results are obtained for both ``ideal'' (zero-width) and realistic (finite-width) pulses This work extends and generalizes our earlier work, Phys. Rev. Lett. 95, 180501 (2005).
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"abstract": "Dynamical decoupling can be used to preserve arbitrary quantum states despite\nundesired interactions with the environment, using control Hamiltonians\naffecting the system only. We present a system-independent analysis of\ndynamical decoupling based on leading order decoupling error estimates, valid\nfor bounded-strength environments. Using as a key tool a renormalization\ntransformation of the effective system-bath coupling Hamiltonian, we delineate\nthe reliability domain of dynamical decoupling used for quantum state\npreservation, in a general setting for a single qubit. We specifically analyze\nand compare two deterministic dynamical decoupling schemes -- periodic and\nconcatenated -- and distinguish between two limiting cases of fast versus slow\nenvironments. We prove that concatenated decoupling outperforms periodic\ndecoupling over a wide range of parameters. These results are obtained for both\n``ideal\u0027\u0027 (zero-width) and realistic (finite-width) pulses This work extends\nand generalizes our earlier work, Phys. Rev. Lett. 95, 180501 (2005).",
"arxiv_id": "quant-ph/0607086",
"authors": [
"Kaveh Khodjasteh",
"Daniel A. Lidar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062310",
"journal_ref": "Phys. Rev. A. 75, 062310 (2007)",
"title": "Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences",
"url": "https://arxiv.org/abs/quant-ph/0607086"
},
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