Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 49, Issue 44, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8113/49/44/445304
Keywords
squeezing; continuous variable quantum information; operational measure; Euler decomposition; bosonic systems
Categories
Funding
- Studienstiftung des deutschen Volkes
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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.
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