Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light

Abstract

We show that the phase sensitivity $\Delta \theta$ of a Mach-Zehnder interferometer fed by a coherent state in one input port and squeezed-vacuum in the other one is i) independent from the true value of the phase shift and ii) can reach the Heisenberg limit $\Delta \theta \sim 1/N_T$, where $N_T$ is the average number of particles of the input states. We also show that the Cramer-Rao lower bound, $\Delta \theta \propto 1/\sqrt{|\alpha {|}^2{e}^{2r}+{\sinh }^{2}r}$, can be saturated for arbitrary values of the squeezing parameter $r$ and the amplitude of the coherent mode $|\alpha |$ by a Bayesian phase inference protocol.

arXiv comment4 pages, 4 figures

References in corpus (16)

• Quantum-enhanced measurements: beating the standard quantum limit
• Conversion of conventional gravitational-wave interferometers into QND interferometers by modifying their input and/or output optics
• Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
• A Quantum Rosetta Stone for Interferometry
• Adaptive homodyne measurement of optical phase
• Optimal states and almost optimal adaptive measurements for quantum interferometry
• Observation of -9 dB quadrature squeezing with improvement of phase stability in homodyne measurement
• Coherent control of vacuum squeezing in the Gravitational-Wave Detection Band
• Experimental demonstration of a squeezing enhanced power recycled Michelson interferometer for gravitational wave detection
• Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
• Quantum entanglement of a large number of photons
• Demonstration of a squeezed light enhanced power- and signal-recycled Michelson interferometer
• Phase Sensitivity of a Mach-Zehnder Interferometer
• Nonlinear Interferometry via Fock State Projection
• Mach Zehnder Interferometry with NOON Quantum States
• Sub Shot-Noise interferometric phase sensitivity with Beryllium ions Schroedinger Cat States

Cited by in corpus (179)

• Advances in Quantum Metrology
• Quantum metrology with nonclassical states of atomic ensembles
• The elusive Heisenberg limit in quantum enhanced metrology
• Quantum metrology with entangled coherent states
• Quantum limits in optical interferometry
• Advances in Space Quantum Communications
• A Geometric Perspective on Quantum Parameter Estimation
• Distributed Quantum Metrology and the Entangling Power of Linear Networks
• Two-photon interference: the Hong-Ou-Mandel effect
• How to perform the most accurate possible phase measurements
• Quantum optical technologies for metrology, sensing and imaging
• Quantum interferometry with and without an external phase reference
• Optimal quantum-enhanced interferometry using a laser power source
• Geometric derivation of the quantum speed limit
• Efficient tools for quantum metrology with uncorrelated noise
• Phase matching condition for enhancement of phase sensitivity in quantum metrology
• Quantum Plasmonic Sensors
• True precision limits in quantum metrology
• Quantum Entangled Interferometers
• 0.75 atoms improve the clock signal of 10,000 atoms
• Not all pure entangled states are useful for sub shot-noise interferometry
• Quantum parameter estimation with optimal control
• Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
• All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
• Tutorial: Optical quantum metrology
• The phase sensitivity of an SU(1,1) interferometer with homodyne detection
• Ultimate sensitivity of precision measurements with Gaussian quantum light : a multi-modal approach
• Phase sensitivity at the Heisenberg limit in an SU(1,1) interferometer via parity detection
• 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
• Gaussian state interferometry with passive and active elements
• Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
• Parity Measurement is Sufficient for Phase Estimation at the Quantum Cramer-Rao Bound for Path-Symmetric States
• Quantum state measurements using multi-pixel photon detectors
• Experimental Phase Estimation Enhanced By Machine Learning
• Optimal Quantum-Enhanced Interferometry
• Optical interferometry in the presence of large phase diffusion
• Quantum interferometer combining squeezing and parametric amplification
• Nonclassical Light and Metrological Power: An Introductory Review
• Sub-shot-noise quantum metrology with entangled identical particles
• Improving the phase super-sensitivity of squeezing-assisted interferometers by squeeze factor unbalancing
• Retrieving ideal precision in noisy quantum optical metrology
• Experimental tomography of NOON states with large photon numbers
• Quantum correlations in optical metrology: Heisenberg-limited phase estimation without mode entanglement
• Nearly Optimal Measurement Scheme in a Noisy Mach-Zehnder Interferometer with Coherent and Squeezed Vacuum
• Quantum multiparameter metrology with generalized entangled coherent state
• Phase sensitivity of a Mach-Zehnder interferometer with single-intensity and difference-intensity detection
• Beyond quantum Fisher information: optimal phase estimation with arbitrary a priori knowledge
• Enhanced interferometry using squeezed thermal states and even or odd states
• The Parity Operator: applications in quantum metrology
• Phase sensitivity bounds for two-mode interferometers
• Interferometry with independent Bose-Einstein ondensates: parity as an EPR/Bell quantum variable
• A search algorithm for quantum state engineering and metrology
• Squeezing-enhanced Raman spectroscopy
• Uncertainty limits for quantum metrology obtained from the statistics of weak measurements
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing
• Practical quantum metrology with large precision gains in the low photon number regime
• The role of entanglement in calibrating optical quantum gyroscopes
• Squeezed-light-enhanced atom interferometry below the standard quantum limit
• Phase sensitivity of gain-unbalanced nonlinear interferometers
• Ensemble based quantum metrology
• Single- versus two-parameter Fisher information in quantum interferometry
• Operational Resource Theory of Nonclassicality via Quantum Metrology
• Vacuum birefringence detection in all-optical scenarios
• Optimal Mach-Zehnder phase sensitivity with Gaussian states
• Entanglement-Seeded-Dual Optical Parametric Amplification: Applications to Quantum Communication, Imaging, and Metrology
• Quantum metrology beyond Heisenberg limit with entangled matter wave solitons
• A supersolid-based gravimeter in a ring cavity
• Two-mode squeezed vacuum and squeezed light in correlated interferometry
• Practical resources and measurements for lossy optical quantum metrology
• Optimized Double-well quantum interferometry with Gaussian squeezed-states
• Heisenberg Limit Superradiant Superresolving Metrology
• Fisher information of a squeezed-state interferometer with a finite photon-number resolution
• Maximal quantum Fisher information for phase estimation without initial parity
• Sub-nK thermometry of an interacting $d$-dimensional homogeneous Bose gas
• Entangled coherent states by mixing squeezed vacuum and coherent light
• Phase sensitivity approaching quantum Cramer-Rao bound in a modified SU(1,1) interferometer
• Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
• Augmenting the Sensing Performance of Entangled Photon Pairs through Asymmetry
• High-precision evaluation of Wigner's d-matrix by exact diagonalization
• Experimental multiparameter quantum metrology in adaptive regime
• Entanglement and phase properties of noisy N00N states
• Sub-Heisenberg-limited nonlinear phase estimation: Parity measurement approaches the quantum Cramér-Rao bound
• Digital Discovery of 100 diverse Quantum Experiments with PyTheus
• Entangled and sequential quantum protocols with dephasing
• Quantum interferometry via a coherent state mixed with a photon-added squeezed vacuum state
• Onset of non-Gaussian quantum physics in pulsed squeezing with mesoscopic fields
• Valid lower bound for all estimators in quantum parameter estimation
• Quantum metrology in the noisy intermediate-scale quantum era
• Entangled identical particles and noise
• Heralded Generation of Macroscopic Superposition States in a Spinor Bose-Einstein Condensate
• Quantum optical metrology in the lossy $SU(2)$ and $SU(1,1)$ interferometers
• Optimal condition for measurement observable via error-propagation
• Crosstalk calibration of multi-pixel photon counters using coherent states
• Quantum-enhanced super-sensitivity of Mach-Zehnder interferometer using squeezed Kerr state
• Quantum Fisher information maximization in an unbalanced interferometer
• Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states
• Experimental Quantum Enhanced Optical Interferometry
• Evaluating Single-mode Nonclassicality
• Phase sensitivity for an unbalanced interferometer without input phase-matching restrictions
• Heisenberg scaling precision in the estimation of functions of parameters
• Quantum enhancement of sensitivity achieved by photon-number-resolving detection in the dark port of a two-path interferometer operating at high intensities
• Quantum metrology using time-frequency as quantum continuous variables: Resources, sub shot-noise precision and phase space representation
• Quantum-enhanced Phase Estimation with an Amplified Bell State
• Quantum-enhanced stochastic phase estimation with SU(1,1) interferometer
• Optimal Conventional Measurements for Quantum-Enhanced Interferometry
• Quantum-enhanced microscopy with binary-outcome photon counting
• Photonic Quantum Information Processing
• Optimal phase sensitivity of an unbalanced Mach-Zehnder interferometer
• Efficient detection of inhomogeneous magnetic fields from a single spin with Dicke states
• Quantum metrology with a continuous-variable system
• SU(1,1)-type light-atom correlated interferometer
• Quantum multiparameter estimation with multi-mode photon catalysis entangled squeezed state
• Quantum Metrology of Absorption and Gain Parameters using Two-Mode Bright Squeezed Light
• Heisenberg-limited metrology with a squeezed vacuum state, three-mode mixing, and information recycling
• Enhancing phase sensitivity in Mach-Zehnder interferometer with various detection schemes using SU(1,1) coherent states
• Double-port measurements for robust quantum optical metrology
• Typicality of Heisenberg scaling precision in multi-mode quantum metrology
• Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation
• Data processing over single-port homodyne detection to realize super-resolution and super-sensitivity
• An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta
• Double-Fock Superposition Interferometry for Differential Diagnosis of Decoherence
• Heisenberg scaling precision in multi-mode distributed quantum metrology
• Measurement of photon correlations with multipixel photon counters
• Generalized Limits for Parameter Sensitivity via Quantum Ziv-Zakai Bound
• Phase estimation with squeezed single photons
• Phase Estimation with Non-Unitary Interferometers: Information as a Metric
• Nonlinear fiber gyroscope for quantum metrology
• Non-Markovian effect on quantum optical metrology under dissipative environment
• Quantum enhancement of N-photon phase sensitivity by interferometric addition of down-converted photon pairs to weak coherent light
• Phase estimation of Mach-Zehnder interferometer via Laguerre excitation squeezed state
• Quantum non-demolition measurement based on an SU(1,1)-SU(2)-concatenated atom-light hybrid interferometer
• Estimation of gravitational acceleration with quantum optical interferometers
• Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
• Efficacy of virtual purification-based error mitigation on quantum metrology
• Enhancing interferometric sensitivity by non-classical light from quantum non-demolition measurements in cavity QED
• Optical interferometer using two-mode squeezed light for enhanced chip-integrated quantum metrology
• Discorrelated quantum states
• Single Spin Detection with Entangled States
• Non-adaptive Heisenberg-limited metrology with multi-channel homodyne measurements
• Relative Phase Distribution and the Precision of Optical Phase Sensing in Quantum Metrology
• Ancilla-assisted schemes are beneficial for Gaussian state phase estimation
• Quantum-enhanced joint estimation of phase and phase diffusion
• Overcomplete quantum tomography of a path-entangled two-photon state
• Robust phase metrology with hybrid quantum interferometers against particle losses
• Single phase and correlated phase estimation with multi-photon annihilated squeezed vacuum states: An energy balancing scenario
• Heisenberg-scaling sensitivity in the estimation of two parameters in a Mach-Zehnder interferometer
• Homodyne detection is optimal for quantum interferometry with path-entangled coherent states
• Benchmarking of Fluorescence Lifetime Measurements using Time-Frequency Correlated Photons
• Complementarity and phases in SU(3)
• Even- and odd-orthogonality properties of the Wigner D-matrix and their metrological applications
• Precision bounds for quantum phase estimation using two-mode squeezed Gaussian states
• Evolution of a hybrid micro-macro entangled state of the qubit-oscillator system via the generalized rotating wave approximation
• Quantum metrology in a lossless Mach-Zehnder interferometer using entangled photon inputs
• Nonclassical states of light in a nonlinear Michelson interferometer
• Robust sub-shot-noise measurement via Rabi-Josephson oscillations in bimodal Bose-Einstein condensates
• Quantum metrology and its application in biology
• Gaussian phase sensitivity of boson-sampling-inspired strategies
• Interferometric binary phase estimations
• Quantum effects in the interference of photon number states
• The Lindley paradox in optical interferometry
• New kind of asymmetric integration projection operators constructed by entangled state representations and parity measurement
• On the connection between quantum nonlocality and phase sensitivity of two-mode entangled Fock state superpositions
• Swap-test interferometry with biased ancilla noise
• Cascaded Multiparameter Quantum Metrology
• Controlling dynamical entanglement in a Josephson tunneling junction
• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Enhanced quantum phase estimation with $q$-deformed nonideal nonclassical light
• Scalable generation of multiphoton path entanglement with high NOON-state fidelity
• Measurement compatibility in multiparameter quantum interferometry
• Knowledge-dependent optimal Gaussian strategies for phase estimation
• Quantum interferometry at zero and finite temperature with two-mode bosonic Josephson junctions
• Distributed Quantum Sensing with Squeezed-Vacuum Light in a Configurable Network of Mach-Zehnder Interferometers
• Outperforming classical estimation of Post-Newtonian parameters of Earth's gravitational field using quantum metrology
• Optimal finite-dimensional probe states for quantum phase estimation
• Quantum information with conserved quantities
• Application of simultaneous and continuous measurement of noncommutative observables: Preparation of the pure ideal quadrature-squeezed state by feedback control
• Quantum Metrology under Coarse-Grained Measurement