Entanglement is the correlation between the state of one particle and the state of another. When two particles are entangled, the transfer of information between them is instantaneous, a surprising result that now serves as the basis for quantum computing. Using entangled quantum bits (qubits), which store probabilities represented by wave functions in a superposition of states, quantum computing enables more efficient computations. Quantifying entanglement is essential to utilizing qubits, currently embodied in particles (ions, photons, electrons, etc.), not entire molecules. Our goal was to pioneer a method to calculate entanglement between electrons in molecules using exact diagonalization, which can be used to solve the Schrodinger Equation for molecular Hamiltonians. We calculated the entanglement of electrons within molecules represented by the Hubbard Model, ultimately to be used to rank molecular qubit candidates.
Rapp, Kevin, Tejada, Jeffrey, and Rubenstein, Brenda,
"Calculating Entanglement in Molecules"
(2022).
Summer Research Symposium.
Brown Digital Repository. Brown University Library.
https://doi.org/10.26300/93qb-gg11
Each year, Brown University showcases the research of its undergraduates at the Summer Research Symposium. More than half of the student-researchers are UTRA recipients, while others receive funding from a variety of Brown-administered and national programs and fellowships and go …
