Error analysis for encoding a qubit in an oscillator
- 19 January 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 73 (1), 012325
- https://doi.org/10.1103/physreva.73.012325
Abstract
In , Gottesman, Kitaev, and Preskill 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.Keywords
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