Strong measurements give a better direct measurement of the quantum wave function
arXiv:1504.06551 · doi:10.1103/PhysRevLett.116.040502
Abstract
Weak measurements have thus far been considered instrumental in the so-called direct measurement of the quantum wavefunction [Nature (London) 474, 188 (2011)]. Here we show that direct measurement of the wavefunction can be obtained by using measurements of arbitrary strength. In particular, in the case of strong measurements, i.e. those in which the coupling between the system and the measuring apparatus is maximum, we compared the precision and the accuracy of the two methods, by showing that strong measurements outperform weak measurements in both for arbitrary quantum states in most cases. We also give the exact expression of the difference between the reconstructed and original wavefunctions obtained by the weak measurement approach: this will allow to define the range of applicability of such method.
Updated version, 5 pages + Supplementary Information
References in corpus (1)
Cited by in corpus (52)
- Direct measurement of the density matrix of a quantum system
- Quantum computing of fluid dynamics using the hydrodynamic Schrödinger equation
- Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
- Experimental demonstration of direct path state characterization by strongly measuring weak values in a matter-wave interferometer
- Direct measurement of a nonlocal entangled quantum state
- Direct Reconstruction of the Quantum Density Matrix by Strong Measurements
- Properties and Applications of the Kirkwood-Dirac Distribution
- Determination of weak values of quantum operators using only strong measurements
- Experimental Test of Sequential Weak Measurements for Certified Quantum Randomness Extraction
- Projective measurements can probe non-classical work extraction and time-correlations
- Experimental Realization of Sequential Weak Measurements of Arbitrary Non-commuting Pauli Observables
- Operational interpretation and estimation of quantum trace-norm asymmetry based on weak value measurement and some bounds
- Direct Measurement of the Two-dimensional Spatial Quantum Wavefunction via Strong Measurements
- Coupling-Deformed Pointer Observables and Weak Values
- Quantum coherence as asymmetry from complex weak values
- Quantifying the presence of a neutron in the paths of an interferometer
- Direct tomography of high-dimensional density matrices for general quantum states of photons
- Direct Characterization of Quantum Measurements using Weak Values
- Ten reasons why a thermalized system cannot be described by a many-particle wave function
- -Quench measurement of quantum wavefunction
- A framework for measuring weak values without weak interactions and its diagrammatic representation
- Observation of non-classical correlations in sequential measurements of photon polarization
- Directly Measuring a Multiparticle Quantum Wave Function via Quantum Teleportation
- Direct state reconstruction with coupling-deformed pointer observables
- Qubit state tomography in superconducting circuit via weak measurements
- Operational formulation of weak values without probe systems
- Local measurement uncertainties impose a limit on non-local quantum correlations
- Markovian and non-Markovian quantum measurements
- General quantum correlation from nonreal values of Kirkwood-Dirac quasiprobability over orthonormal product bases
- Compressive Direct Imaging of a Billion-Dimensional Optical Phase-Space
- Demonstration of the quantum principle of least action with single photons
- Directly Characterizing the Coherence of Quantum Detectors by Sequential Measurement
- Dimension-independent weak value estimation via controlled SWAP operations
- Direct measurement of ultrafast temporal wavefunctions
- Improving direct state measurements by using rebits in real enlarged Hilbert spaces
- Direct measurement of density-matrix elements using a phase-shifting technique Tianfeng
- Resource-efficient Direct Characterization of General Density Matrix
- Experimental evaluation of the non-classical relation between measurement errors using entangled photon pairs as a probe
- Direct Measurement Methods of Density Matrix of an Entangled Quantum State
- Error estimation in the direct state tomography
- Overcoming experimental limitations in a non-linear two-qubit gate through postselection
- Systematic errors in direct state measurements with quantum controlled measurements
- Increase the Efficiency of Post-selection in Direct Measurement of Quantum Wave Function
- Quantum entanglement as an extremal Kirkwood-Dirac nonreality
- Separation of measurement uncertainty into quantum and classical parts based on Kirkwood-Dirac quasiprobability and generalized entropy
- The real and imaginary parts of a weak value appearing as back-actions via a post-selection
- Estimation of Wigner distribution of single mode Gaussian states: a comparative study
- How many bits specify a quantum state?
- Ultimate Precision of Direct Tomography of Wave Functions
- No-go result for quantum postselection measurements of rank-m degenerate subspace
- Interplay between strong and weak measurement: Comparison of three experimental approaches to weak value estimation
- Quantum speed limit for observables from quantum asymmetry