Evaluating Single-mode Nonclassicality
arXiv:2006.16693 · doi:10.1103/PhysRevA.102.043703
Abstract
Quantifying nonclassicality of a bosonic mode is an important but challenge task in quantum optics. Recently, the first nonclassicality measure based on the concept of operational resource theory has been proposed [Phys. Rev. Research 2, 023400 (2020)], which shows several crucial properties as a resource for quantum metrology. Here we apply the measure to evaluate and categorize different classes of nonclassical states. We discover a class of states that can achieve the maximum nonclassicality in the asymptotic limit of large mean number of excitations. These states can provide the same sensitivity in place of a squeezed vacuum in a sensing scheme, e.g., the LIGO experiments. We also discover that the nonclassicality of certain states can be greatly improved with a single-photon addition. Besides, we explore some examples on how to evaluate analytically the nonclassicality of mixed states, which are in general difficult to calculate due to the convex roof nature of the measure. Our results will be useful for preparing and utilizing nonclassical states for applications in precision sensing tasks, such as quadrature sensing and phase sensing in a Mach-Zehnder interferometer.
arXiv comment8 pages, 7 figures
References in corpus (36)
- Quantum Coherence as a Resource
- Continuous variable quantum cryptography using coherent states
- Quantum Resource Theories
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Quantum computation over continuous variables
- Operational Resource Theory of Coherence
- Quantum metrology from a quantum information science perspective
- Preparation of Nonclassical States in Cavities with a Moving Mirror
- Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- A computable measure of nonclassicality for light
- Experimental nonclassicality of single-photon-added thermal light states
- Macroscopic quantum states: measures, fragility and implementations
- Quantum teleportation with squeezed vacuum states
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Quantum interferometry with and without an external phase reference
- Optimal quantum-enhanced interferometry using a laser power source
- Frequency-Dependent Squeezing for Advanced LIGO
- A measure of the non-Gaussian character of a quantum state
- Unified quantification of nonclassicality and entanglement
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- Phase matching condition for enhancement of phase sensitivity in quantum metrology
- Quantum-enhanced sensing of a mechanical oscillator
- Operational Resource Theory of Quantum Channels
- All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry
- Cat codes with optimal decoherence suppression for a lossy bosonic channel
- Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states
- Frequency-Dependent Squeezed Vacuum Source for Broadband Quantum Noise Reduction in Advanced Gravitational-Wave Detectors
- Operational resource theory of continuous-variable nonclassicality
- Quantifying the Coherence Between Coherent States
- Quantum-enhanced micro-mechanical displacement sensitivity
- Nonclassicality Quasiprobability of Single-Photon Added Thermal States
- Enhanced interferometry using squeezed thermal states and even or odd states
- Sampling arbitrary photon-added or photon-subtracted squeezed states is in the same complexity class as boson sampling
- Operational Resource Theory of Nonclassicality via Quantum Metrology
- Quantifying nonclassicality by characteristic functions
Cited by in corpus (6)
- Experimental demonstration of remotely creating Wigner negativity via quantum steering
- Enhanced phase estimation in parity detection based Mach-Zehnder interferometer using non-Gaussian two-mode squeezed thermal input state
- Generating optical cat states via quantum interference of multi-path free-electron-photons interactions
- Non-Gaussian two mode squeezed thermal states in continuous variable quantum teleportation
- Nonclassical photocounting statistics with a single on-off detector
- Deterministic preparation of non-classical states of light in cavity-optomechanics