Projects
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+ For my physics senior thesis with Professor Lynn of Harvey Mudd, I have determined the number of d-dimensional bell states an LELM (linear evolution and local measurement) device can distinguish using an analytic argument. This question is motivated by the audacious assumption that one doesn't possess a quantum computer ready at hand but is interested in performing some algorithm or communication protocol somehow involving a bell state measurement. This extends the work of Pisenti et al. (2011), who solved d = 2^n, and Leslie et al. (2019), who solved d = 3. A manuscript is in progress. I am also attempting to solve the odd dimension case to complete this problem.
Projects
Also experimented with an automatic decomposition of a quantum state into Jones matrices via gradient descent, which achieved up to 99.3% fidelity in our experimental setup.
- For my physics senior thesis with Professor Lynn of Harvey Mudd, we are working on determining the maximal number of perfectly entangled states an LELM (linear evolution and linear measurement) device could distinguish. In particular, we are extending the work of Pisenti et al. (2011), who solved d = 2^n, and Leslie et al. (2019), who solved d = 3, to the case of d = 6. The work involves a variety of analytical and computational methods, including a custom gradient descent algorithm to optimize for finding orthogonal solutions. UPDATE: as of 1/20/24, I solved this problem: 11 out of 36 states can be distinguished.
News
January 2024
-Solved my undergraduate physics thesis, which is the maximal distinguishability of d = 6 hyperdimensional bell states!!! :)
+Solved my undergraduate physics thesis, which is the maximal distinguishability of 6- hyperdimensional bell states!!! I was able to extend the argument to any even dimension! Manuscript in progress :)