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Title: Decoupling cross-quadrature correlations using passive operations
Authors: Assad, Syed Muhamad
Gu, Mile
Li, Xiaoying
Lam, Ping Koy
Keywords: Science::Physics
Issue Date: 2020
Source: Assad, S. M., Gu, M., Li, X., & Lam, P. K. (2020). Decoupling cross-quadrature correlations using passive operations. Physical Review A, 102(2), 022615-. doi:10.1103/PhysRevA.102.022615
Project: NRF-NRFF2016-02
Journal: Physical Review A
Abstract: Quadrature correlations between subsystems of a Gaussian quantum state are fully characterized by its covariance matrix. For example, the covariance matrix determines the amount of entanglement or decoherence of the state. Here, we establish when it is possible to remove correlations between conjugate quadratures using only passive operations. Such correlations are usually undesired and arise due to experimental cross-quadrature contamination. Using the Autonne-Takagi factorization, we present necessary and sufficient conditions to determine when such removal is possible. Our proof is constructive, and whenever it is possible we obtain an explicit expression for the required passive operation.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.102.022615
Schools: School of Physical and Mathematical Sciences 
Organisations: Nanyang Quantum Hub
Research Centres: Complexity Institute 
Rights: © 2020 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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