Enhanced interferometry using squeezed thermal states and even or odd states
arXiv:1405.2397 · doi:10.1103/PhysRevA.89.053822
Abstract
We derive a general expression of the quantum Fisher information for a Mach-Zehnder interferometer, with the port inputs of an \emph{arbitrary} pure state and a squeezed thermal state. We find that the standard quantum limit can be beaten, when even or odd states are applied to the pure-state port. In particular, when the squeezed thermal state becomes a thermal state, all the even or odd states have the same quantum Fisher information for given photon numbers. For a squeezed thermal state, optimal even or odd states are needed to approach the Heisenberg limit. As examples, we consider several common even or odd states: Fock states, even or odd coherent states, squeezed vacuum states, and single-photon-subtracted squeezed vacuum states. We also demonstrate that super-precision can be realized by implementing the parity measurement for these states.
8 pages, 2 figures, 1 table, Phys. Rev. A in press
References in corpus (35)
- Advances in Quantum Metrology
- Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Quantum spin squeezing
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Landau-Zener-Stuckelberg interferometry
- Negativity of the Wigner function as an indicator of nonclassicality
- Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement
- Quantum metrology with entangled coherent states
- Optimal Quantum Phase Estimation
- Observation of squeezed light with 10dB quantum noise reduction
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- Quantum Enhanced Multiple Phase Estimation
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
- Quantum homodyne tomography of a two-photon Fock state
- Scaling laws for precision in quantum interferometry and bifurcation landscape of optimal state
- Quantum Fisher information of entangled coherent state in the presence of photon losses: exact solution
- Quantum interferometry with and without an external phase reference
- Optimal quantum-enhanced interferometry using a laser power source
- Phase matching condition for enhancement of phase sensitivity in quantum metrology
- The parity operator in quantum optical metrology
- Experimental generation of multi-photon Fock states
- High photon number path entanglement in the interference of spontaneously downconverted photon pairs with coherent laser light
- Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum
- Coherent and Squeezed Vacuum Light Interferometry: Parity detection hits the Heisenberg limit
- Quantum metrology for non-linear phase shifts with entangled coherent states
- Parity Measurement is Sufficient for Phase Estimation at the Quantum Cramer-Rao Bound for Path-Symmetric States
- Parity Detection in Quantum Optical Metrology Without Number Resolving Detectors
- Production of superpositions of coherent states in traveling optical fields with inefficient photon detection
- Heisenberg-limited interferometry with pair coherent states and parity measurements
- Super-Resolution at the Shot-Noise Limit with Coherent States and Photon-Number-Resolving Detectors
- Phase-space interference of states optically truncated by quantum scissors: Generation of distinct superpositions of qudit coherent states by displacement of vacuum
- Lossy Quantum Optical Metrology with Squeezed States
- Quantum-enhanced Phase Estimation with an Amplified Bell State
Cited by in corpus (19)
- Nearly Optimal Measurement Scheme in a Noisy Mach-Zehnder Interferometer with Coherent and Squeezed Vacuum
- Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
- A review on quantum information processing in cavities
- Operational Resource Theory of Nonclassicality via Quantum Metrology
- Overcoming decoherence of cat-states formed in a cavity using squeezed-state inputs
- Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
- Quantum interferometry via a coherent state mixed with a photon-added squeezed vacuum state
- Evaluating Single-mode Nonclassicality
- Double-port measurements for robust quantum optical metrology
- Optimization of a Lossy Microring Resonator System for the Generation of Quadrature-Squeezed States
- Data processing over single-port homodyne detection to realize super-resolution and super-sensitivity
- SU(1,1) interferometry with parity measurement
- Enhancing phase sensitivity with number state filtered coherent states
- Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
- Supersensitive estimation of the coupling rate in cavity optomechanics with an impurity-doped Bose-Einstein condensate
- Deterministic super-resolved estimation towards angular displacements based upon a Sagnac interferometer and parity measurement
- Multi-outcome homodyne detection in a coherent-state light interferometer
- Non-Gaussian two mode squeezed thermal states in continuous variable quantum teleportation
- New kind of asymmetric integration projection operators constructed by entangled state representations and parity measurement