Amplifying Single-Photon Nonlinearity Using Weak Measurement

Abstract

We show that weak measurement can be used to "amplify" optical nonlinearities at the single- photon level, such that the effect of one properly post-selected photon on a classical beam may be as large as that of many un-post-selected photons. We find that "weak-value amplification" offers a marked improvement in signal-to-noise ratio in the presence of technical noise with long correlation times. Unlike previous weak measurement experiments, our proposed scheme has no classical equivalent.

References in corpus (8)

• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
• Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
• Optimizing the Signal to Noise Ratio of a Beam Deflection Measurement with Interferometric Weak Values
• Low-Light-Level Optical Interactions with Rubidium Vapor in a Photonic Bandgap Fiber
• Large Cross-Phase Modulation between Slow Co-propagating Weak Pulses in Rb
• Observation of optical-fiber Kerr nonlinearity at the single-photon level
• Fock-state view of weak-value measurements and implementation with photons and atomic ensembles

Cited by in corpus (120)

• Colloquium: Understanding Quantum Weak Values: Basics and Applications
• Experimental observation of the spin Hall effect of light on a nano-metal film via weak measurements
• Direct measurement of general quantum states using weak measurement
• Technical advantages for weak value amplification: When less is more
• Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs
• Amplification of Angular Rotations Using Weak Measurements
• Weak value amplification is suboptimal for estimation and detection
• Full characterisation of polarisation states of light via direct measurement
• Efficient two-step entanglement concentration for arbitrary W states
• Precision metrology using weak measurements
• Weak Values Technique for Velocity Measurements
• Measuring ultrasmall time delays of light by joint weak measurements
• When amplification with weak values fails to suppress technical noise
• Weak Value Amplification Can Outperform Conventional Measurement in the Presence of Detector Saturation
• Improving the precision of weak measurements by postselection measurement
• Experimentally quantifying the advantages of weak-value-based metrology
• Observing Dirac's classical phase space analog to the quantum state
• Entanglement-assisted weak value amplification
• Quantum measurements with preselection and postselection
• Using technical noise to increase the signal-to-noise ratio, via imaginary weak values
• State tomography via weak measurements
• Nonlinear interaction between two heralded single photons
• Quantum sensing with a single-qubit pseudo-Hermitian system
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Weak-value amplification and optimal parameter estimation in the presence of correlated noise
• Strengthening weak value amplification with recycled photons
• Efficient hyperconcentration of nonlocal multipartite entanglement via the cross-Kerr nonlinearity
• Optimal Probe Wavefunction of Weak-Value Amplification
• Self-assisted complete maximally hyperentangled state analysis via the cross-Kerr nonlinearity
• Weak-value amplification as an optimal metrological protocol
• Quantum sensors based on weak-value amplification cannot overcome decoherence
• Universality of local weak interactions and its application for interferometric alignment
• Demonstration of Weak Measurement Based on Atomic Spontaneous Emission
• Heisenberg-scaling measurement of the single-photon Kerr non-linearity using mixed states
• Properties and Applications of the Kirkwood-Dirac Distribution
• Pre- and post-selected quantum states: density matrices, tomography, and Kraus operators
• Tests of Fundamental Quantum Mechanics and Dark Interactions with Low Energy Neutrons -- Extended Version
• Protecting weak measurements against systematic errors
• Enhanced weak-value amplification via photon recycling
• Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement
• Post-selected von Neumann measurement with Hermite-Gaussian and Laguerre-Gaussian pointer states
• Phase amplification in optical interferometry with weak measurement
• Kerr-effect-based quantum logical gates in decoherence-free subspace
• Classical Field Approach to Quantum Weak Measurements
• Heisenberg scaling with weak measurement: A quantum state discrimination point of view
• Anomalous Weak Values and the Violation of a Multiple-measurement Leggett-Garg Inequality
• Approaching Heisenberg-scalable thermometry with built-in robustness against noise
• General complex Spin Weak Values obtained in Matter-Wave Interferometer Experiments
• Heisenberg-limited metrology via weak-value amplification without using entangled resources
• Weak-value-amplification analysis beyond the AAV limit of weak measurements
• Quantum precision thermometry with weak measurement
• Feasible optical weak measurements of complementary observables via a single Hamiltonian
• Suppressing technical noises in weak measurement by entanglement
• Measuring average of non-Hermitian operator with weak value in a Mach-Zehnder interferometer
• Coupling-Deformed Pointer Observables and Weak Values
• Sub-Heisenberg-limited nonlinear phase estimation: Parity measurement approaches the quantum Cramér-Rao bound
• Anomalous Amplification of a Homodyne signal via Almost-Balanced Weak Values
• High Precision Multi-parameter Weak Measurement with Hermite-Gaussian Pointer
• Scheme and Experimental Demonstration of Fully Atomic Weak Value Amplification
• Direct tomography of high-dimensional density matrices for general quantum states of photons
• Adaptive weak-value amplification with adjustable postselection
• Anomalous Weak Values Emerging from Strong Interactions between Light and Matter
• An Improved Experiment to Determine the `Past of a Particle' in the Nested Mach-Zehnder Interferometer
• Geometry-Controlled Nonlinear Optical Response of Quantum Graphs
• Strong micro-macro entanglement from a weak cross-Kerr nonlinearity
• Improving the precision of weak-value-amplification with two cascaded Michelson interferometers based on Vernier-effect
• Short-pulse cross-phase modulation in an electromagnetically-induced-transparency medium
• Weak-value amplification of the fast-light effect in rubidium vapor
• Achieving metrological precision limits through post-selection
• Efficient hybrid entanglement concentration for quantum communications
• Qubit state tomography in superconducting circuit via weak measurements
• Difference Weak Measurement
• Amplification of rotation velocity using weak measurements in Sagnac's interferometer
• Weak value amplification of photon number operators in the optomechanical interaction
• Progress and Perspectives on Weak-value Amplification
• Theory of Compression Channels for Postselected Quantum Metrology
• Generation of phase-squeezed optical pulses with large coherent amplitudes by post-selection of single photon and weak cross-Kerr non-linearity
• Amplification limit of weak measurements: a variational approach
• Do weak values capture the complete truth about the past of a quantum particle?
• Quantum state engineering using weak measurement
• Application of the weak-measurement technique to study atom-vacuum interactions
• What weak measurements and weak values really mean - Reply to Kastner
• Auto-correlative weak-value amplification under strong noise background
• Enhancing interferometry using weak value amplification with real weak values
• Nonclassicalities of hybrid coherent states
• Characteristics of interaction between Gravitons and Photons
• Enhanced Probing of Fermion Interaction Using Weak Value Amplification
• Interpreting weak value amplification with a toy realist model
• Obtaining imaginary weak values with a classical apparatus: applications for the time and frequency domains
• Probabilistic magnetometry with two-spin system in diamond
• Complete analysis of the maximally hyperentangled state via the weak cross-Kerr nonlinearity
• The negative probabilities and information gain in weak measurements
• Gravitational sensing with weak value based optical sensors
• Heralded Interaction Control between Quantum Systems
• Obtaining a Single-Photon Weak Value from Experiments using a Strong (Many-Photon) Coherent State
• Quantum tomography via Non-orthogonal basis and weak values
• Estimation of temporal separation of slow light pulses in atomic vapors by weak measurement
• Control and enhancement of interferometric coupling between two photonic qubits
• Optimal Settings For Amplification And Estimation Of Small Effects In Postselected Ensembles
• Dual to the anomalous weak value effect of photon-polarisation separation
• Quantum controlled-Z gate for weakly interacting qubits
• Generating Gottesman-Kitaev-Preskill qubit using a cross-Kerr interaction between a squeezed light and Fock states in optics
• Imprinting the quantum statistics of photons on free electrons
• Overcoming experimental limitations in a non-linear two-qubit gate through postselection
• A weak-value model for virtual particles supplying the electric current in graphene: the minimal conductivity and the Schwinger mechanism
• Weak-measurement-based pseudospin pointer: A cost-effective scheme for precision measurement
• Quality analysis for precision metrology based on joint weak measurements without discarding readout data
• Modified Kubo formula with a complex force term for weak measurement
• Implementation of weak measurement amplification with the weak coherent light and optomechanical system
• Effect of relativity and vacuum fluctuations on quantum measurement
• Weak values obtained from mass-energy equivalence
• Time-symmetry and topology of the Aharonov-Bohm effect
• State distinguishability under weak measurement and post-selection: A unified system and device perspective
• Mitigating Source and Detection Noises in Auto-correlative Weak-Value Amplification
• An ideal experiment to determine the 'past of a particle' in the nested Mach-Zehnder Interferometer
• Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry
• Quantum state tomography on closed timelike curves using weak measurements
• A brief overview and some comments on the weak measurement protocol
• Complete nondestructive analysis of two-photon six-qubit hyperentangled Bell states assisted by cross-Kerr nonlinearity
• The systematic error and the anomaly in the sensitivity and the probability of post-selection raised from the plural weak value