dorsal/arxiv
View SchemaQubits in phase space: Wigner function approach to quantum error correction and the mean king problem
| Authors | Juan Pablo Paz, Augusto Jose Roncaglia, Marcos Saraceno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410117 |
| URL | https://arxiv.org/abs/quant-ph/0410117 |
| DOI | 10.1103/PhysRevA.72.012309 |
| Journal | Phys. Rev. A 72, 012309 (2005) |
Abstract
We analyze and further develop a new method to represent the quantum state of a system of $n$ qubits in a phase space grid of $N\times N$ points (where $N=2^n$). The method, which was recently proposed by Wootters and co--workers (Gibbons {\it et al.}, quant-ph/0401155), is based on the use of the elements of the finite field $GF(2^n)$ to label the phase space axes. We present a self--contained overview of the method, we give new insights on some of its features and we apply it to investigate problems which are of interest for quantum information theory: We analyze the phase space representation of stabilizer states and quantum error correction codes and present a phase space solution to the so--called ``mean king problem''.
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"abstract": "We analyze and further develop a new method to represent the quantum state of\na system of $n$ qubits in a phase space grid of $N\\times N$ points (where\n$N=2^n$). The method, which was recently proposed by Wootters and co--workers\n(Gibbons {\\it et al.}, quant-ph/0401155), is based on the use of the elements\nof the finite field $GF(2^n)$ to label the phase space axes. We present a\nself--contained overview of the method, we give new insights on some of its\nfeatures and we apply it to investigate problems which are of interest for\nquantum information theory: We analyze the phase space representation of\nstabilizer states and quantum error correction codes and present a phase space\nsolution to the so--called ``mean king problem\u0027\u0027.",
"arxiv_id": "quant-ph/0410117",
"authors": [
"Juan Pablo Paz",
"Augusto Jose Roncaglia",
"Marcos Saraceno"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.012309",
"journal_ref": "Phys. Rev. A 72, 012309 (2005)",
"title": "Qubits in phase space: Wigner function approach to quantum error correction and the mean king problem",
"url": "https://arxiv.org/abs/quant-ph/0410117"
},
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