An operational measure for squeezing

Abstract

We propose and analyse a mathematical measure for the amount of squeezing contained in a continuous variable quantum state. We show that the proposed measure operationally quantifies the minimal amount of squeezing needed to prepare a given quantum state and that it can be regarded as a squeezing analogue of the "entanglement of formation". We prove that the measure is convex and superadditive and we provide analytic bounds as well as a numerical convex optimisation algorithm for its computation. By example, we then show that the amount of squeezing needed for the preparation of certain multi-mode quantum states can be significantly lower than naive approaches suggest.

51+7 pages, 2 figures, comments always welcome

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Cited by in corpus (16)

• Nonclassicality as a Quantifiable Resource for Quantum Metrology
• Gaussian quantum resource theories
• Operational resource theory of continuous-variable nonclassicality
• Operational quantification of continuous-variable quantum resources
• Matrix decompositions in Quantum Optics: Takagi/Autonne, Bloch-Messiah/Euler, Iwasawa, and Williamson
• Asymptotic state transformations of continuous variable resources
• Thermodynamic resources in continuous-variable quantum systems
• Accessible precisions for estimating two conjugate parameters using Gaussian probes
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• Entanglement properties of a measurement-based entanglement distillation experiment
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• Decoupling Cross-Quadrature Correlations using Passive Operations
• Maximal trace distance between isoenergetic bosonic Gaussian states
• Impact of quadrature measurement on quantum coherence
• On quantum additive Gaussian noise channels