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Quantum Continuous Variables: A Primer of Theoretical Methods
- A. Serafini
- 8 June 2017
Extremal entanglement and mixedness in continuous variable systems
The concept of average logarithmic negativity is introduced, showing that it allows a reliable quantitative estimate of continuo us variable entanglement by direct measurements of global and marginal generalized p-entropies.
Measuring Gaussian quantum information and correlations using the Rényi entropy of order 2.
We demonstrate that the Rényi-2 entropy provides a natural measure of information for any multimode Gaussian state of quantum harmonic systems, operationally linked to the phase-space Shannon…
LETTER TO THE EDITOR: Symplectic invariants, entropic measures and correlations of Gaussian states
We present a derivation of the Von Neumann entropy and mutual information of arbitrary two-mode Gaussian states, based on the explicit determination of the symplectic eigenvalues of a generic…
Quantum memory for entangled continuous-variable states
Quantum information is often thought of in terms of manipulating discrete qubits. But continuous variables can also carry data. A method for storing continuous-variable states of light for up to a…
Distributed quantum computation via optical fibers.
It is shown that highly reliable swap and entangling gates are achievable and exactly study the stability of these gates in the presence of imperfections in coupling strengths and interaction times and prove them to be robust.
Correlation matrices of two-mode bosonic systems
We present a detailed analysis of all the algebraic conditions an arbitrary 4x4 symmetric matrix must satisfy in order to represent the correlation matrix of a two-mode bosonic system. Then, we…
Conditional and unconditional Gaussian quantum dynamics
The Gaussian framework is introduced in its full generality, including a classification of Gaussian (also known as ‘general-dyne’) quantum measurements, and a compact proof for the parametrisation of the most general Gaussian completely positive map is given.
Gaussian entanglement revisited
We present a novel approach to the separability problem for Gaussian quantum states of bosonic continuous variable systems. We derive a simplified necessary and sufficient separability criterion for…
Unitarily localizable entanglement of gaussian states
We consider generic (mxn)-mode bipartitions of continuous-variable systems, and study the associated bisymmetric multimode Gaussian states. They are defined as (m+n)-mode Gaussian states invariant…