@article {330, title = {Entanglement-fluctuation relation for bipartite pure states}, journal = {Phys. Rev. A}, volume = {94}, year = {2016}, pages = {022323}, abstract = {We identify subsystem fluctuations (variances) that measure entanglement in an arbitrary bipartite pure state. These fluctuations are of observables that generalize the notion of polarization to an arbitrary N-level subsystem. We express this polarization fluctuation in terms of subsystem purity and other entanglement measures. The derived entanglement-fluctuation relation is evaluated for the ground states of a one-dimensional free-fermion gas and the Affleck-Kennedy-Lieb-Tasaki spin chain. Our results provide a framework for experimentally measuring entanglement using Stern-Gerlach{\textendash}type state selectors.}, doi = {10.1103/PhysRevA.94.022323}, url = {http://link.aps.org/doi/10.1103/PhysRevA.94.022323}, author = {Aura Mae B Villaruel and Francis N. C. Paraan} } @conference {351, title = {Polarization fluctuation as an entanglement measure for N-level systems}, year = {2016}, month = {7{\textendash}8 Apr 2016}, pages = {127}, publisher = {1st International DOST-SEI ASTHRDP-NSC Scholars{\textquoteright} Conference}, address = {PICC, Pasay City}, abstract = {It is known that subsystem fluctuations are related to entanglement for any N-level system entangled with an environment. We define an observable wherein its fluctuations can be directly related to known measures such as the purity, R{\'e}nyi-2 entropy, and concurrence. This quantity, which we call the Schmidt polarization fluctuation shows an exact relationship between fluctuations and entanglement that is simple to construct and is model-independent. It can also be considered as a proper entanglement measure and is experimentally accessible.}, author = {Aura Mae B Villaruel and Francis N. C. Paraan} } @inproceedings {321, title = {Polarization fluctuation as an entanglement monotone for entangled two-level systems}, booktitle = {Proceedings of the AQIS Conference 2015}, year = {2015}, month = {24{\textendash}30 Aug 2015}, pages = {271-272}, address = {Korea Institute for Advanced Study, Seoul}, abstract = {In a pure system consisting of a two-level atom (qubit) entangled with an arbitrary environment, the polarization fluctuation about the Schmidt axis is shown to preserve majorization. This polarization fluctuation is additive over independent two-level systems and is proposed to be an experimentally accessible entanglement monotone for a generic gas of two-level atoms entangled with a common bath.}, url = {http://aqis-conf.org/2015/program/}, author = {Aura Mae B Villaruel and Francis N. C. Paraan} } @inproceedings {villaruel-spp-2015, title = {Polarization fluctuation can partially order entangled qubit states}, booktitle = {Proceedings of the 33rd Samahang Pisika ng Pilipinas Physics Congress}, year = {2015}, month = {3{\textendash}6 Jun 2015}, pages = {SPP-2015-3B-03}, address = {University of Northern Philippines, Vigan City}, abstract = {
We define and calculate the Schmidt polarization fluctuation of a qubit entangled with an arbitrary environment in a bipartite pure state. It is found that this polarization fluctuation preserves majorization and thus can partially order qubits. We propose that this quantity can be used as an experimentally accessible entanglement measure.
}, author = {Aura Mae B Villaruel and Francis N. C. Paraan} } @conference {villaruel-qpcmp-2015, title = {Quantum fluctuation theorems in quenched systems}, year = {2015}, month = {22{\textendash}23 Apr 2015}, publisher = {Workshop on Theories in Quantum Phenomena and Condensed Matter Physics}, address = {University of the Philippines Los Ba{\~n}os, Laguna}, url = {https://imsp.uplb.edu.ph/index.php/component/content/article/17-imsp-news/research/370-workshop-on-theories-in-quantum-phenomena-and-condensed-matter-physics}, author = {Aura Mae Villaruel} }