Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
arXiv:2402.04404 · doi:10.1103/PhysRevA.110.012408
Abstract
The quadrature coherence scale (QCS) is a recently introduced measure that was shown to be an efficient witness of nonclassicality. It takes a simple form for pure and Gaussian states, but a general expression for mixed states tends to be prohibitively unwieldy. In this paper, we introduce a method for computing the quadrature coherence scale of quantum states characterized by Wigner functions expressible as linear combinations of Gaussian functions. Notable examples within this framework include cat states, GKP states, and states resulting from Gaussian transformations, measurements, and breeding protocols. In particular, we show that the quadrature coherence scale serves as a valuable tool for examining the scalability of nonclassicality in the presence of loss. Our findings lead us to put forth a conjecture suggesting that, subject to 50% loss or more, all pure states lose any QCS-certifiable nonclassicality. We also consider the quadrature coherence scale as a measure of quality of the output state of the breeding protocol.
arXiv commentAdded a clarification in the abstract Improved figures. One section added to compare with other nonclassicality measures
References in corpus (71)
- Gaussian Quantum Information
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantifying Coherence
- Quantum Coherence as a Resource
- Encoding a qubit in an oscillator
- Quantum computation over continuous variables
- Operational Resource Theory of Coherence
- Measuring Quantum Coherence with Entanglement
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Negativity of the Wigner function as an indicator of nonclassicality
- Observable measure of quantum coherence in finite dimensional systems
- Catalytic Coherence
- Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
- Positive Wigner functions render classical simulation of quantum computation efficient
- Efficient Classical Simulation of Continuous Variable Quantum Information Processes
- Sub-Planck spots of Schroedinger cats and quantum decoherence
- Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
- Frozen Quantum Coherence
- A computable measure of nonclassicality for light
- The extraction of work from quantum coherence
- Trace-distance measure of coherence
- Non-Gaussian Quantum States and Where to Find Them
- Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
- A Geometric Perspective on Quantum Parameter Estimation
- Quantum-coherence quantifiers based on the Tsallis relative -entropies
- Converting Nonclassicality into Entanglement
- Breeding the optical Schroedinger's cat state
- Alternative framework for quantifying coherence
- Convex resource theory of non-Gaussianity
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
- Cohering and de-cohering power of quantum channels
- Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator
- All-optical generation of states for "Encoding a qubit in an oscillator"
- Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
- Generating Grid States From Schrödinger Cat States without Post-Selection
- Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
- Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation
- Operational Resource Theory of Quantum Channels
- Non-Gaussian and Gottesman-Kitaev-Preskill state preparation by photon catalysis
- Operational resource theory of continuous-variable nonclassicality
- Cohering power of quantum operations
- Experimental progress on quantum coherence: detection, quantification, and manipulation
- Fault-tolerant quantum computation with static linear optics
- Convex ordering and quantification of quantumness
- Uncovering Quantum Correlations with Time-Multiplexed Click Detection
- Unified nonclassicality criteria
- Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity
- Negativity of quasiprobability distributions as a measure of nonclassicality
- Quantum nondemolition measurements with optical parametric amplifiers for ultrafast universal quantum information processing
- Extremal quantum states
- Proposal for a loophole-free violation of Bell inequalities with a set of single photons and homodyne measurements
- Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state
- Nonclassical distance in multimode bosonic systems
- Experimental quantification of coherence of a tunable quantum detector
- Probing nonclassicality with matrices of phase-space distributions
- Quantifying nonclassicality by characteristic functions
- Experimental Demonstration of Squeezed State Quantum Averaging
- Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field
- Non-unity gain minimal disturbance measurement
- Quadrature coherence scale driven fast decoherence of bosonic quantum field states
- Thermal-difference states of light: quantum states of heralded photons
- Decoherence and nonclassicality of photon-added/subtracted multi-mode Gaussian states
- Measuring the quadrature coherence scale on a cloud quantum computer
- Transcoherent states: Optical states for maximal generation of atomic coherence
- Simulation of quantum optics by coherent state decomposition
- Generating a 4-photon Tetrahedron State: Towards Simultaneous Super-sensitivity to Non-commuting Rotations
- Seeding Gaussian boson samplers with single photons for enhanced state generation
- Dynamically generated quadrature and photon-number variances for Gaussian states
- Relating the Glauber-Sudarshan, Wigner and Husimi quasiprobability distributions operationally through the quantum limited amplifier and attenuator channels
- Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state