dorsal/arxiv
View SchemaError Analysis For Encoding A Qubit In An Oscillator
| Authors | S. Glancy, E. Knill |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510107 |
| URL | https://arxiv.org/abs/quant-ph/0510107 |
| DOI | 10.1103/PhysRevA.73.012325 |
| Journal | Phys. Rev. A 73, 012325 (2006) |
Abstract
In the paper titled "Encoding A Qubit In An Oscillator" Gottesman, Kitaev, and Preskill [quant-ph/0008040] described a method to encode a qubit in the continuous Hilbert space of an oscillator's position and momentum variables. This encoding provides a natural error correction scheme that can correct errors due to small shifts of the position or momentum wave functions (i.e., use of the displacement operator). We present bounds on the size of correctable shift errors when both qubit and ancilla states may contain errors. We then use these bounds to constrain the quality of input qubit and ancilla states.
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"abstract": "In the paper titled \"Encoding A Qubit In An Oscillator\" Gottesman, Kitaev,\nand Preskill [quant-ph/0008040] described a method to encode a qubit in the\ncontinuous Hilbert space of an oscillator\u0027s position and momentum variables.\nThis encoding provides a natural error correction scheme that can correct\nerrors due to small shifts of the position or momentum wave functions (i.e.,\nuse of the displacement operator). We present bounds on the size of correctable\nshift errors when both qubit and ancilla states may contain errors. We then use\nthese bounds to constrain the quality of input qubit and ancilla states.",
"arxiv_id": "quant-ph/0510107",
"authors": [
"S. Glancy",
"E. Knill"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012325",
"journal_ref": "Phys. Rev. A 73, 012325 (2006)",
"title": "Error Analysis For Encoding A Qubit In An Oscillator",
"url": "https://arxiv.org/abs/quant-ph/0510107"
},
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