Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry
arXiv:2202.09849 · doi:10.1103/PhysRevA.105.052437
Abstract
We theoretically analyze phase sensitivity using parity detection based Mach Zehnder interferometer (MZI) with the input states generated by performing non-Gaussian operations, viz., photon subtraction, photon addition, and photon catalysis on a two-mode squeezed vacuum (TMSV) state. Since these non-Gaussian operations are probabilistic, it is of utmost importance to take the success probability into account. To this end, we consider the realistic model of photon subtraction, addition, and catalysis and derive a single expression of the Wigner function for photon subtracted, added, and catalyzed TMSV state. The Wigner function is used to evaluate the lower bound on the phase sensitivity via quantum Cramer-Rao bound and parity detection based phase sensitivity in MZI. We identify the ranges of squeezing and transmissivity parameters where the non-Gaussian states provide better phase sensitivity than the TMSV state. On qualitatively taking the success probability into account, it turns out that the photon addition is the most advantageous non-Gaussian operation. We hope that the generalized Wigner function derived in this work will be useful in various quantum information protocols and state characterization.
This paper is the first in a series of publications written in the celebration of the completion of 15 years of IISER Mohali
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- Continuous variable quantum teleportation using photon subtracted and photon added two mode squeezed coherent state
- Continuous variable quantum teleportation in a dissipative environment: Comparison of non-Gaussian operations before and after noisy channel
- Orbital angular momentum-enhanced phase estimation using non-Gaussian state with photon loss
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- Re-examination of the role of displacement and photon catalysis operation in continuous variable measurement device-independent quantum key distribution
- Non-Gaussian two mode squeezed thermal states in continuous variable quantum teleportation
- Husimi phase distribution in non-Gaussian operations
- No real advantage of photon subtraction and displacement in continuous variable measurement device independent quantum key distribution