Detecting entanglement in arbitrary two-mode Gaussian state: a
Stokes-like operator based approach
- URL: http://arxiv.org/abs/2103.12987v1
- Date: Wed, 24 Mar 2021 04:54:35 GMT
- Title: Detecting entanglement in arbitrary two-mode Gaussian state: a
Stokes-like operator based approach
- Authors: Arijit Dutta, Sibasish Ghosh, Jaewan Kim, and Ritabrata Sengupta
- Abstract summary: Detection of entanglement in quantum states is one of the most important problems in quantum information processing.
We present an interferometric scheme to test the same separability criterion in which the measurements are being done via Stokes-like operators.
- Score: 1.3999481573773072
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Detection of entanglement in quantum states is one of the most important
problems in quantum information processing. However, it is one of the most
challenging tasks to find a universal scheme which is also desired to be
optimal to detect entanglement for all states of a specific class--as always
preferred by experimentalists. Although, the topic is well studied at least in
case of lower dimensional compound systems, e.g., two-qubit systems, but in the
case of continuous variable systems, this remains as an open problem. Even in
the case of two-mode Gaussian states, the problem is not fully solved. In our
work, we have tried to address this issue. At first, a limited number of
Hermitian operators is given to test the necessary and sufficient criterion on
the covariance matrix of separable two-mode Gaussian states. Thereafter, we
present an interferometric scheme to test the same separability criterion in
which the measurements are being done via Stokes-like operators. In such case,
we consider only single-copy measurements on a two-mode Gaussian state at a
time and the scheme amounts to the full state tomography. Although this latter
approach is a linear optics based one, nevertheless it is not an economic
scheme. Resource-wise a more economical scheme than the full state tomography
is obtained if we consider measurements on two copies of the state at a time.
However, optimality of the scheme is not yet known.
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