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quant-ph2024
Quantum Algorithms for Realizing Symmetric, Asymmetric, and Antisymmetric Projectors
Margarite L. LaBorde, Soorya Rethinasamy, Mark M. Wilde
In quantum computing, knowing the symmetries a given system or state obeys or disobeys is often useful. For example, Hamiltonian symmetries may limit allowed state transitions or s…
quant-ph2023
Quantum Entanglement & Purity Testing: A Graph Zeta Function Perspective
Zachary P. Bradshaw, Margarite L. LaBorde
We assign an arbitrary density matrix to a weighted graph and associate to it a graph zeta function that is both a generalization of the Ihara zeta function and a special case of t…
quant-ph2023
A Menagerie of Symmetry Testing Quantum Algorithms
Margarite L. LaBorde
This thesis aims to establish notions of symmetry for quantum states and channels as well as describe algorithms to test for these properties on quantum computers. Ideally, the wor…