351 citations · 1.9k across the 21 of their papers we have counts for
21 papers
Multi-qutrit exact synthesis
Amolak Ratan Kalra, Manimugdha Saikia, Dinesh Valluri +2
We present an exact synthesis algorithm for qutrit unitaries in over the Clifford gate set with at most one ancilla. This extends…
Challenges and Opportunities in Quantum Optimization
Amira Abbas, Andris Ambainis, Brandon Augustino +43
Recent advances in quantum computers are demonstrating the ability to solve problems at a scale beyond brute force classical simulation. As such, a widespread interest in quantum a…
Local Additivity Revisited
Mary Beth Ruskai, Jon T. Yard
We make a number of simplifications in Gour and Friedland's proof of local additivity of minimum output entropy of a quantum channel. We follow them in reframing the question as on…
SICs and Algebraic Number Theory
Marcus Appleby, Steven Flammia, Gary McConnell +1
We give an overview of some remarkable connections between symmetric informationally complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a connec…
Generating Ray Class Fields of Real Quadratic Fields via Complex Equiangular Lines
Marcus Appleby, Steven Flammia, Gary McConnell +1
For certain real quadratic fields with sufficiently small discriminant we produce explicit unit generators for specific ray class fields of using a numerical method that ar…
A Framework for Approximating Qubit Unitaries
Vadym Kliuchnikov, Alex Bocharov, Martin Roetteler +1
We present an algorithm for efficiently approximating of qubit unitaries over gate sets derived from totally definite quaternion algebras. It achieves -approximations…