An operational measure for squeezing

作者：Idel Martin^*; Lercher Daniel; Wolf Michael M

来源：Journal of Physics A-Mathematical and Theoretical, 2016, 49(44): 445304.

DOI：10.1088/1751-8113/49/44/445304

• squeezing
• continuous variable quantum information
• operational measure
• Euler decomposition
• bosonic systems

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 subadditive 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 state preparation suggests.

• 出版日期2016-11-4