diff --git a/images/music.png b/images/music.png new file mode 100644 index 0000000..86b5006 Binary files /dev/null and b/images/music.png differ diff --git a/images/q-elegans.png b/images/q-elegans.png new file mode 100644 index 0000000..57d7249 Binary files /dev/null and b/images/q-elegans.png differ diff --git a/images/qupid.png b/images/qupid.png new file mode 100644 index 0000000..c9f45fb Binary files /dev/null and b/images/qupid.png differ diff --git a/images/worm.webp b/images/worm.webp new file mode 100644 index 0000000..dc5f1c9 Binary files /dev/null and b/images/worm.webp differ diff --git a/index.html b/index.html index 4ddb5cf..126ab41 100644 --- a/index.html +++ b/index.html @@ -6,10 +6,20 @@
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.
-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.
For my math senior thesis with Professor Ami Radunskaya of Pomona College, we are simulating Sachdev-Ye-Kitaev Hamiltonians, which describe how a cloud of Majorana fermions. Inspired by Jafferis et al. 2022's simulation of quantum teleportation in this system of two of these clouds (which are dual in a gravitational system by the AdS-CFT correspondence to wormhole teleportation) but eager to address Kobrin et al. (2023)'s concerns over operator overfitting, we are developing a new training procedure and ML architecture in order to preserve scrambling dynamics while sparsifying the SYK Hamiltonians that describe the evolution of the system.
-For my math senior thesis with Professor Ami Radunskaya of Pomona College, we are simulating Sachdev-Ye-Kitaev Hamiltonians, which describe how a cloud of Majorana fermions. Inspired by Jafferis et al. 2022's simulation of quantum teleportation in this system of two of these clouds (which are dual in a gravitational system by the AdS-CFT correspondence to wormhole teleportation) but eager to address Kobrin et al. (2023)'s concerns over operator overfitting, we are developing a new training procedure and ML architecture in order to preserve scrambling dynamics while sparsifying the SYK Hamiltonians that describe the evolution of the system. I am pursuing a generalized algorithm to approximate unitaries with 2-qubit gates.
++ Together with my classmates Larry Liu and Donny Lu, we are working on the a plan to build an optical quantum computer that addresses issues of multi-photon gate complexity and scalibility, with the goal to begin proptyping in Spring 2024. We are working with Professor Gallicchio of Harvey Mudd College as well as Professor Lynn of Harvey Mudd College informally. +
+Wrote a lot of custom code to generate, manipulate, and measure (theoretically and experimentally) 2-qubit quantum states. Trained a variety of machine learning models (eXtreme gradient boosting, neural networks) on 4 million generated states with the goal of predicting the optimal set of measurements to take based on an initial set of projective probabilities, using entanglement witnesses building on those by Riccardi et al. (2019) and previous work by the group. Achieved 4% increase in performance from previous models and successfully applied the models to experimental data. - Presented results at SQuInT conference, October 2023. + Presented results, "Entanglement Witnessing: a Neural Network Optimization and Experimental Realization", at Southwest Quantum Information and Technology (SQuInT) conference, October 2023. 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.
@@ -180,11 +205,11 @@Inspired by a paper about the strange behavior of neuropeptides in the worm C. elegans by Ripoll-Sánchez et al. (2023), I created this simple quantum circuit in Cirq as a possible hybrid quantum machine learning algorithm that takes classical inputs, converts them into quantum states via phase encoding, entangles all the states together--modeled on the action of the neuropeptides--to adjustable levels, and then performs single qubit rotations before converting back to classical probability output via measurement.
+Designed, implemented, and trained a custom long short-term memory (LSTM) recurrent nerual network called "Thinking Parrot" on the works of the ficitous scholar Nasrudin based on the lines, "To save money, I made my donkey go without food. Unfortunately the experiment was interrupted by its death. It died before it got used to having no food at all. People sell talking parrots for huge sums. They never pause to compare the possible value of a thinking parrot.". I wrote two essays of over 120 words total explaining the model to a non-CS audience and intepreting its results literarily. - -
Worked with Seohyeon Lee and Marwin Bit in a project to rank top songs. I designed and implemented a automatic pipeline for given a list of songs, extract their metadata via Spotify API, download them locally and convert into spectrograms for input to a convolutional neural network to classify them.
+