Shuoming An

Abstract Parity detection is essential in quantum error correction. Error syndromes coded in parity are detected routinely by sequential CNOT gates. Here, different from the standard CNOT-gate based scheme, we propose a reliable joint parity measurement (JPM) scheme inspired by stimulated emission.

In the version of this Letter originally published, in Fig. 2c legend, the entry ‘LO phase noise’ should not have been included. This has now been corrected in the online versions.

In the interaction picture with respect to the harmonic oscillation, the force induced by the lasers as configured in Fig. 1 is described by where , f(t)=Ω(t)Δk/2, Ω(t) is proportional to the intensity of both Raman beams, Δk is the projection of the wave-vectors difference of the Raman beams on the motional axis of the ion and ϕ is the phase difference between those two laser beams. Both laser beams are red detuned from the transition between the ground state (2S ) and the excited state (2P ).