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Error Analysis For Encoding a Qubit In An Oscillator

Published

Author(s)

Scott Glancy, Emanuel Knill

Abstract

In [5], 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 which 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.
Citation
Error Analysis For Encoding a Qubit In An Oscillator
Volume
73
Issue
5

Keywords

error correction, linear optical quantum computer

Citation

Glancy, S. and Knill, E. (2006), Error Analysis For Encoding a Qubit In An Oscillator, Error Analysis For Encoding a Qubit In An Oscillator, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=150211 (Accessed April 20, 2024)
Created January 18, 2006, Updated October 12, 2021