dorsal/arxiv
View SchemaDirect Characterization of Quantum Dynamics: General Theory
| Authors | M. Mohseni, D. A. Lidar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601034 |
| URL | https://arxiv.org/abs/quant-ph/0601034 |
| DOI | 10.1103/PhysRevA.75.062331 |
| Journal | Phys. Rev. A 75, 062331 (2007) |
Abstract
The characterization of the dynamics of quantum systems is a task of both fundamental and practical importance. A general class of methods which have been developed in quantum information theory to accomplish this task is known as quantum process tomography (QPT). In an earlier paper [M. Mohseni and D. A. Lidar, Phys. Rev. Lett. 97, 170501 (2006)] we presented a new algorithm for Direct Characterization of Quantum Dynamics (DCQD) of two-level quantum systems. Here we provide a generalization by developing a theory for direct and complete characterization of the dynamics of arbitrary quantum systems. In contrast to other QPT schemes, DCQD relies on quantum error-detection techniques and does not require any quantum state tomography. We demonstrate that for the full characterization of the dynamics of n d-level quantum systems (with d a power of a prime), the minimal number of required experimental configurations is reduced quadratically from d^{4n} in separable QPT schemes to d^{2n} in DCQD.
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"abstract": "The characterization of the dynamics of quantum systems is a task of both\nfundamental and practical importance. A general class of methods which have\nbeen developed in quantum information theory to accomplish this task is known\nas quantum process tomography (QPT). In an earlier paper [M. Mohseni and D. A.\nLidar, Phys. Rev. Lett. 97, 170501 (2006)] we presented a new algorithm for\nDirect Characterization of Quantum Dynamics (DCQD) of two-level quantum\nsystems. Here we provide a generalization by developing a theory for direct and\ncomplete characterization of the dynamics of arbitrary quantum systems. In\ncontrast to other QPT schemes, DCQD relies on quantum error-detection\ntechniques and does not require any quantum state tomography. We demonstrate\nthat for the full characterization of the dynamics of n d-level quantum systems\n(with d a power of a prime), the minimal number of required experimental\nconfigurations is reduced quadratically from d^{4n} in separable QPT schemes to\nd^{2n} in DCQD.",
"arxiv_id": "quant-ph/0601034",
"authors": [
"M. Mohseni",
"D. A. Lidar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062331",
"journal_ref": "Phys. Rev. A 75, 062331 (2007)",
"title": "Direct Characterization of Quantum Dynamics: General Theory",
"url": "https://arxiv.org/abs/quant-ph/0601034"
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