From the 1 of 10 linked papers with an AI index.
10 papers
Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant
Zachary P. Bradshaw
We prove a conjecture of Bradshaw and Atale asserting a Ramanujan type master theorem for the kernel , whose poles at the non-positive integers have order . Th…
Inherent interpretability provides inherent value in quantum machine learning
Kaitlin Gili, Zachary P. Bradshaw
The paper argues that the intrinsic mathematical structure of quantum machine learning models can provide inherent interpretability, offering value beyond raw performance, and illu…
What Your Model Threw Away and Why You'll Want It Back: Masking, Fingerprinting, and Privacy from Discarded Geometry
Zachary P. Bradshaw
We develop a framework for the information discarded by machine learning models whose inputs carry a Lie group action. Given a representation of a Lie group on a space …
Approximate Error Correction for Quantum Simulations of SU(2) Lattice Gauge Theories
Zachary P. Bradshaw
We present a protocol for actively suppressing Gauss law violations in quantum simulations of SU(2) lattice gauge theory. Mid-circuit measurements extract a syndrome char…
Symmetry-Based Quantum Codes Beyond the Pauli Group
Zachary P. Bradshaw, Margarite L. LaBorde, Dillon Montero
Typical stabilizer codes aim to solve the general problem of fault-tolerance without regard for the structure of a specific system. By incorporating a broader representation-theore…
Introduction to Quantum Error Correction with Stabilizer Codes
Zachary P. Bradshaw, Jeffrey J. Dale, Ethan N. Evans
We give an introduction to the theory of quantum error correction using stabilizer codes that is geared towards the working computer scientists and mathematicians with an interest…