Enhanced phase estimation in parity detection based Mach-Zehnder interferometer using non-Gaussian two-mode squeezed thermal input state
arXiv:2208.04742 · doi:10.1002/andp.202300117
Abstract
While the quantum metrological advantages of performing non-Gaussian operations on two-mode squeezed vacuum (TMSV) states have been extensively explored, similar studies in the context of two-mode squeezed thermal (TMST) states are severely lacking. In this paper, we explore the potential advantages of performing non-Gaussian operations on TMST state for phase estimation using parity detection based Mach-Zehnder interferometry. To this end, we consider the realistic model of photon subtraction, addition, and catalysis. We first provide a derivation of the unified Wigner function of the photon subtracted, photon added and photon catalyzed TMST state, which to the best of our knowledge is not available in the existing literature. This Wigner function is then used to obtain the expression for the phase sensitivity. Our results show that performing non-Gaussian operations on TMST states can enhance the phase sensitivity for significant ranges of squeezing and transmissivity parameters. We also observe that incremental advantage provided by performing these non-Gaussian operations on the TMST state is considerably higher than that of performing these operations on the TMSV state. Because of the probabilistic nature of these operations, it is of utmost importance to take their success probability into account. We identify the photon catalysis operation performed using a high transmissivity beam splitter as the optimal non-Gaussian operation when the success probability is taken into account. This is in contrast to the TMSV case, where we observe photon addition to be the most optimal. These results will be of high relevance for any future phase estimation experiments involving TMST states. Further, the derived Wigner function of the non-Gaussian TMST states will be useful for state characterization and its application in various quantum information protocols.
arXiv commentThis is the third article in a publication series written in the celebration of the completion of 15 years of IISER Mohali
References in corpus (53)
- Advances in Quantum Metrology
- Gaussian Quantum Information
- Quantum-enhanced measurements: beating the standard quantum limit
- Correlated imaging, quantum and classical
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Two-photon "ghost" imaging with thermal light
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Experimental evidence of high-resolution ghost imaging and ghost diffraction with classical thermal light
- Quantum state reconstruction of the single-photon Fock state
- Quantum metrology with entangled coherent states
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- Continuous-variable teleportation improvement by photon subtraction via conditional measurement
- The Real Symplectic Groups in Quantum Mechanics and Optics
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Quantum homodyne tomography of a two-photon Fock state
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- The parity operator in quantum optical metrology
- Tomographic reconstruction of the single-photon Fock state by high-frequency homodyne detection
- Continuous-variable quantum key distribution with non-Gaussian quantum catalysis
- Photon-subtracted squeezed thermal state: nonclassicality and decoherence
- Experimental Realisation of a Thermal Squeezed State of Levitated Optomechanics
- Experimental generation of multi-photon Fock states
- High photon number path entanglement in the interference of spontaneously downconverted photon pairs with coherent laser light
- Continuous-variable quantum teleportation with non-Gaussian entangled states generated via multiple-photon subtraction and addition
- Coherent and Squeezed Vacuum Light Interferometry: Parity detection hits the Heisenberg limit
- Parity Measurement is Sufficient for Phase Estimation at the Quantum Cramer-Rao Bound for Path-Symmetric States
- Phase estimation for thermal Gaussian states
- Continuous-variable measurement-device-independent quantum key distribution with photon subtraction
- Two-mode squeezing in an electromechanical resonator
- Optimality of Gaussian Discord
- Parity Detection in Quantum Optical Metrology Without Number Resolving Detectors
- Precision measurements with photon-subtracted or photon-added Gaussian states
- Heisenberg-limited interferometry with pair coherent states and parity measurements
- Enhancing quantum entanglement and quantum teleportation for two-mode squeezed vacuum state by local quantum-optical catalysis
- The Parity Operator: applications in quantum metrology
- Multi-photon subtracted thermal states: description, preparation and reconstruction
- Entanglement and nonclassicality of photon-added two-mode squeezed thermal state
- The role of initial entanglement and nonGaussianity in the decoherence of photon number entangled states evolving in a noisy channel
- Instant single-photon Fock state tomography
- Nonclassicality and decoherence of photon-added squeezed thermal state in thermal environment
- Lossy Quantum Optical Metrology with Squeezed States
- Consideration of success probability and performance optimization in non-Gaussian continuous variable quantum teleportation
- Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry
- Investigating Einstein-Podolsky-Rosen steering of continuous variable bipartite states by non-Gaussian pseudospin measurements
- Coherence assisted non-Gaussian measurement device independent quantum key distribution
- Full quantum state reconstruction of symmetric two-mode squeezed thermal states via spectral homodyne detection
- Evaluating Single-mode Nonclassicality
- Quantum-enhanced Phase Estimation with an Amplified Bell State
- Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions
- Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
- Statistical parameter estimation of multimode multiphoton subtracted thermal states of light
- Evolution of two-mode quantum states under a dissipative environment: which quantum resource survives better, squeezing or entanglement?
- On the Wigner Distribution of the Reduced Density Matrix
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- Advantage of probabilistic non-Gaussian operations in the distillation of single mode squeezed vacuum state
- 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